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10120321312 = 252773073719
BaseRepresentation
bin10010110110011011…
…11101100100100000
3222010022011120221021
421123031331210200
5131211300240222
64352121335224
7505535211643
oct113315754440
928108146837
1010120321312
114323726212
121b65337514
13c538c770a
146c0123a5a
153e3728ac7
hex25b37d920

10120321312 has 48 divisors (see below), whose sum is σ = 20066840640. Its totient is φ = 5024118528.

The previous prime is 10120321303. The next prime is 10120321319. The reversal of 10120321312 is 21312302101.

10120321312 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 (16).

It is not an unprimeable number, because it can be changed into a prime (10120321319) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2719389 + ... + 2723107.

It is an arithmetic number, because the mean of its divisors is an integer number (418059180).

Almost surely, 210120321312 is an apocalyptic number.

It is an amenable number.

10120321312 is a deficient number, since it is larger than the sum of its proper divisors (9946519328).

10120321312 is a wasteful number, since it uses less digits than its factorization.

10120321312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4313 (or 4305 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10120321312 its reverse (21312302101), we get a palindrome (31432623413).

The spelling of 10120321312 in words is "ten billion, one hundred twenty million, three hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 277 307 554 614 1108 1228 2216 2456 3719 4432 4912 7438 8864 9824 14876 29752 59504 85039 119008 170078 340156 680312 1030163 1141733 1360624 2060326 2283466 2721248 4120652 4566932 8241304 9133864 16482608 18267728 32965216 36535456 316260041 632520082 1265040164 2530080328 5060160656 10120321312