Search a number
-
+
1320100101012 = 2237211653312553
BaseRepresentation
bin10011001101011100000…
…110001111101110010100
311200012102001020101020210
4103031130012033232110
5133112031111213022
62450240130325420
7164242211501100
oct23153406175624
94605361211223
101320100101012
11469940101620
12193a16a29870
139763c44c834
1447c70c8a900
1524513865a0c
hex1335c18fb94

1320100101012 has 144 divisors (see below), whose sum is σ = 3914866372032. Its totient is φ = 342356958720.

The previous prime is 1320100100993. The next prime is 1320100101029. The reversal of 1320100101012 is 2101010010231.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4067328 + ... + 4379880.

It is an arithmetic number, because the mean of its divisors is an integer number (27186572028).

Almost surely, 21320100101012 is an apocalyptic number.

1320100101012 is a gapful number since it is divisible by the number (12) 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 1320100101012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1957433186016).

1320100101012 is an abundant number, since it is smaller than the sum of its proper divisors (2594766271020).

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

1320100101012 is a wasteful number, since it uses less digits than its factorization.

1320100101012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313238 (or 313229 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 1320100101012 its reverse (2101010010231), we get a palindrome (3421110111243).

The spelling of 1320100101012 in words is "one trillion, three hundred twenty billion, one hundred million, one hundred one thousand, twelve".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 66 77 84 98 132 147 154 196 231 294 308 462 539 588 653 924 1078 1306 1617 1959 2156 2612 3234 3918 4571 6468 7183 7836 9142 13713 14366 18284 21549 27426 28732 31997 43098 50281 54852 63994 86196 95991 100562 127988 150843 191982 201124 301686 312553 351967 383964 603372 625106 703934 937659 1055901 1250212 1407868 1875318 2111802 2187871 3438083 3750636 4223604 4375742 6563613 6876166 8751484 10314249 13127226 13752332 15315097 20628498 24066581 26254452 30630194 41256996 45945291 48133162 61260388 72199743 91890582 96266324 144399486 168466067 183781164 204097109 288798972 336932134 408194218 505398201 612291327 673864268 816388436 1010796402 1224582654 1428679763 2021592804 2245068199 2449165308 2857359526 4286039289 4490136398 5714719052 6735204597 8572078578 8980272796 10000758341 13470409194 15715477393 17144157156 20001516682 26940818388 30002275023 31430954786 40003033364 47146432179 60004550046 62861909572 94292864358 110008341751 120009100092 188585728716 220016683502 330025025253 440033367004 660050050506 1320100101012