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10124254413 = 3272134993539
BaseRepresentation
bin10010110110111001…
…11101110011001101
3222010120120102010200
421123130331303031
5131213302120123
64352341524113
7505613512500
oct113334756315
928116512120
1010124254413
114325972209
121b66713639
13c546739b0
146c0869137
153e3c54143
hex25b73dccd

10124254413 has 72 divisors (see below), whose sum is σ = 18361980000. Its totient is φ = 5328058176.

The previous prime is 10124254403. The next prime is 10124254417. The reversal of 10124254413 is 31445242101.

10124254413 is a `hidden beast` number, since 1 + 0 + 1 + 242 + 5 + 4 + 413 = 666.

It is a de Polignac number, because none of the positive numbers 2k-10124254413 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10124254417) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2858998 + ... + 2862536.

It is an arithmetic number, because the mean of its divisors is an integer number (255027500).

Almost surely, 210124254413 is an apocalyptic number.

10124254413 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10124254413 is a deficient number, since it is larger than the sum of its proper divisors (8237725587).

10124254413 is a wasteful number, since it uses less digits than its factorization.

10124254413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4071 (or 4061 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 10124254413 its reverse (31445242101), we get a palindrome (41569496514).

The spelling of 10124254413 in words is "ten billion, one hundred twenty-four million, two hundred fifty-four thousand, four hundred thirteen".

Divisors: 1 3 7 9 13 21 39 49 63 91 117 147 273 441 499 637 819 1497 1911 3493 3539 4491 5733 6487 10479 10617 19461 24451 24773 31437 31851 45409 46007 58383 73353 74319 136227 138021 173411 220059 222957 317863 322049 408681 414063 520233 953589 966147 1560699 1765961 2254343 2860767 2898441 5297883 6763029 12361727 15893649 20289087 22957493 37085181 68872479 86532089 111255543 160702451 206617437 259596267 482107353 778788801 1124917157 1446322059 3374751471 10124254413