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2120324310 = 2335131015981
BaseRepresentation
bin111111001100001…
…1001010011010110
312110202202122011000
41332120121103112
513320300334220
6550221524130
7103354313346
oct17630312326
95422678130
102120324310
11998960045
124b2113646
1327a385a90
1416185ad26
15c622e390
hex7e6194d6

2120324310 has 128 divisors (see below), whose sum is σ = 6150453120. Its totient is φ = 516672000.

The previous prime is 2120324279. The next prime is 2120324321. The reversal of 2120324310 is 134230212.

It is a super-2 number, since 2×21203243102 = 8991550359153952200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 351520 + ... + 357500.

It is an arithmetic number, because the mean of its divisors is an integer number (48050415).

Almost surely, 22120324310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120324310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3075226560).

2120324310 is an abundant number, since it is smaller than the sum of its proper divisors (4030128810).

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

2120324310 is a wasteful number, since it uses less digits than its factorization.

2120324310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6111 (or 6105 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2120324310 is about 46046.9793797595. The cubic root of 2120324310 is about 1284.6971604877.

Adding to 2120324310 its reverse (134230212), we get a palindrome (2254554522).

The spelling of 2120324310 in words is "two billion, one hundred twenty million, three hundred twenty-four thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 101 117 130 135 195 202 234 270 303 351 390 505 585 606 702 909 1010 1170 1313 1515 1755 1818 2626 2727 3030 3510 3939 4545 5454 5981 6565 7878 9090 11817 11962 13130 13635 17943 19695 23634 27270 29905 35451 35886 39390 53829 59085 59810 70902 77753 89715 107658 118170 155506 161487 177255 179430 233259 269145 322974 354510 388765 466518 538290 604081 699777 777530 807435 1166295 1208162 1399554 1614870 1812243 2099331 2332590 3020405 3498885 3624486 4198662 5436729 6040810 6997770 7853053 9061215 10496655 10873458 15706106 16310187 18122430 20993310 23559159 27183645 32620374 39265265 47118318 54367290 70677477 78530530 81550935 117795795 141354954 163101870 212032431 235591590 353387385 424064862 706774770 1060162155 2120324310