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10340313312 = 253729530599
BaseRepresentation
bin10011010000101010…
…01010100011100000
3222200122010100020010
421220111022203200
5132134110011222
64430020444520
7514146133020
oct115025124340
928618110203
1010340313312
11442692348a
122006b49740
13c8a3615b4
1470142ba80
15407bd180c
hex26854a8e0

10340313312 has 96 divisors (see below), whose sum is σ = 32090688000. Its totient is φ = 2852494848.

The previous prime is 10340313289. The next prime is 10340313337. The reversal of 10340313312 is 21331304301.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 245812 + ... + 284787.

It is an arithmetic number, because the mean of its divisors is an integer number (334278000).

Almost surely, 210340313312 is an apocalyptic number.

10340313312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10340313312 is an abundant number, since it is smaller than the sum of its proper divisors (21750374688).

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

10340313312 is a wasteful number, since it uses less digits than its factorization.

10340313312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530648 (or 530640 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 10340313312 its reverse (21331304301), we get a palindrome (31671617613).

The spelling of 10340313312 in words is "ten billion, three hundred forty million, three hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 84 87 96 112 116 168 174 203 224 232 336 348 406 464 609 672 696 812 928 1218 1392 1624 2436 2784 3248 4872 6496 9744 19488 530599 1061198 1591797 2122396 3183594 3714193 4244792 6367188 7428386 8489584 11142579 12734376 14856772 15387371 16979168 22285158 25468752 29713544 30774742 44570316 46162113 50937504 59427088 61549484 89140632 92324226 107711597 118854176 123098968 178281264 184648452 215423194 246197936 323134791 356562528 369296904 430846388 492395872 646269582 738593808 861692776 1292539164 1477187616 1723385552 2585078328 3446771104 5170156656 10340313312