Search a number
-
+
2122323154344 = 233439769111939
BaseRepresentation
bin11110111000100100010…
…100010101010110101000
321111220002100102221010000
4132320210110111112220
5234233004211414334
64302552022423000
7306222101106141
oct36704424252650
97456070387100
102122323154344
11749088101178
122a33a1891a60
13125198b3c983
1474a14570ac8
153a316dca299
hex1ee245155a8

2122323154344 has 160 divisors (see below), whose sum is σ = 5968567677600. Its totient is φ = 704578849920.

The previous prime is 2122323154337. The next prime is 2122323154351. The reversal of 2122323154344 is 4434513232212.

2122323154344 is a `hidden beast` number, since 2 + 1 + 2 + 232 + 31 + 54 + 344 = 666.

It is an interprime number because it is at equal distance from previous prime (2122323154337) and next prime (2122323154351).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2122323154299 and 2122323154308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 177757927 + ... + 177769865.

It is an arithmetic number, because the mean of its divisors is an integer number (37303547985).

Almost surely, 22122323154344 is an apocalyptic number.

2122323154344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122323154344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2984283838800).

2122323154344 is an abundant number, since it is smaller than the sum of its proper divisors (3846244523256).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2122323154344 is a wasteful number, since it uses less digits than its factorization.

2122323154344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13045 (or 13032 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

Adding to 2122323154344 its reverse (4434513232212), we get a palindrome (6556836386556).

The spelling of 2122323154344 in words is "two trillion, one hundred twenty-two billion, three hundred twenty-three million, one hundred fifty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 397 648 691 794 1191 1382 1588 2073 2382 2764 3176 3573 4146 4764 5528 6219 7146 8292 9528 10719 11939 12438 14292 16584 18657 21438 23878 24876 28584 32157 35817 37314 42876 47756 49752 55971 64314 71634 74628 85752 95512 107451 111942 128628 143268 149256 214902 223884 257256 274327 286536 322353 429804 447768 548654 644706 822981 859608 967059 1097308 1289412 1645962 1934118 2194616 2468943 2578824 3291924 3868236 4739783 4937886 6583848 7406829 7736472 8249849 9479566 9875772 14219349 14813658 16499698 18959132 19751544 22220487 24749547 28438698 29627316 32999396 37918264 42658047 44440974 49499094 56877396 59254632 65998792 74248641 85316094 88881948 98998188 113754792 127974141 148497282 170632188 177763896 197996376 222745923 255948282 296994564 341264376 383922423 445491846 511896564 593989128 668237769 767844846 890983692 1023793128 1336475538 1535689692 1781967384 2672951076 3071379384 3275190053 5345902152 6550380106 9825570159 13100760212 19651140318 26201520424 29476710477 39302280636 58953420954 78604561272 88430131431 117906841908 176860262862 235813683816 265290394293 353720525724 530580788586 707441051448 1061161577172 2122323154344