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10120320012 = 2231197790403
BaseRepresentation
bin10010110110011011…
…11101010000001100
3222010022011112011010
421123031331100030
5131211300220022
64352121325220
7505535205105
oct113315752014
928108145133
1010120320012
114323725240
121b65336810
13c538c6c4a
146c01233ac
153e372850c
hex25b37d40c

10120320012 has 48 divisors (see below), whose sum is σ = 26026422912. Its totient is φ = 3035143680.

The previous prime is 10120319987. The next prime is 10120320071. The reversal of 10120320012 is 21002302101.

10120320012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10120320012.

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 15 ways as a sum of consecutive naturals, for example, 382398 + ... + 408005.

It is an arithmetic number, because the mean of its divisors is an integer number (542217144).

Almost surely, 210120320012 is an apocalyptic number.

10120320012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10120320012 is an abundant number, since it is smaller than the sum of its proper divisors (15906102900).

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

10120320012 is a wasteful number, since it uses less digits than its factorization.

10120320012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790518 (or 790516 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10120320012 its reverse (21002302101), we get a palindrome (31122622113).

The spelling of 10120320012 in words is "ten billion, one hundred twenty million, three hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 97 132 194 291 388 582 1067 1164 2134 3201 4268 6402 12804 790403 1580806 2371209 3161612 4742418 8694433 9484836 17388866 26083299 34777732 52166598 76669091 104333196 153338182 230007273 306676364 460014546 843360001 920029092 1686720002 2530080003 3373440004 5060160006 10120320012