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10400120012 = 2229863103889
BaseRepresentation
bin10011010111110010…
…10011110011001100
3222211210122211121002
421223321103303030
5132244412320022
64435554355432
7515503363412
oct115371236314
928753584532
1010400120012
114457662107
122022b8bb78
13c99871589
147093592b2
1540d097092
hex26be53ccc

10400120012 has 24 divisors (see below), whose sum is σ = 18849801600. Its totient is φ = 5014881536.

The previous prime is 10400120011. The next prime is 10400120047. The reversal of 10400120012 is 21002100401.

10400120012 is a modest number, since divided by 120012 gives 104 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 10400119975 and 10400120002.

It is not an unprimeable number, because it can be changed into a prime (10400120011) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 48164 + ... + 152052.

It is an arithmetic number, because the mean of its divisors is an integer number (785408400).

Almost surely, 210400120012 is an apocalyptic number.

It is an amenable number.

10400120012 is a deficient number, since it is larger than the sum of its proper divisors (8449681588).

10400120012 is a wasteful number, since it uses less digits than its factorization.

10400120012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104785 (or 104783 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10400120012 its reverse (21002100401), we get a palindrome (31402220413).

The spelling of 10400120012 in words is "ten billion, four hundred million, one hundred twenty thousand, twelve".

Divisors: 1 2 4 29 58 116 863 1726 3452 25027 50054 100108 103889 207778 415556 3012781 6025562 12051124 89656207 179312414 358624828 2600030003 5200060006 10400120012