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13321320311124 = 22327211250532617
BaseRepresentation
bin1100000111011001110010…
…0100001010100101010100
31202011111122201100120122100
43001312130210022211110
53221224030444423444
644155421410002100
72543301510234360
oct301663444124524
952144581316570
1013321320311124
1142765a4036331
1215b1917276330
1375826c88b827
14340a8093a2a0
151817b8964e69
hexc1d9c90a954

13321320311124 has 72 divisors (see below), whose sum is σ = 38666202131648. Its totient is φ = 3788053153920.

The previous prime is 13321320311107. The next prime is 13321320311231. The reversal of 13321320311124 is 42111302312331.

13321320311124 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 1 + 320 + 311 + 1 + 24 = 666.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 125213137 + ... + 125319480.

Almost surely, 213321320311124 is an apocalyptic number.

13321320311124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13321320311124 is an abundant number, since it is smaller than the sum of its proper divisors (25344881820524).

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

13321320311124 is a wasteful number, since it uses less digits than its factorization.

13321320311124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250532845 (or 250532840 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 13321320311124 its reverse (42111302312331), we get a palindrome (55432622623455).

The spelling of 13321320311124 in words is "thirteen trillion, three hundred twenty-one billion, three hundred twenty million, three hundred eleven thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 211 252 422 633 844 1266 1477 1899 2532 2954 3798 4431 5908 7596 8862 13293 17724 26586 53172 250532617 501065234 751597851 1002130468 1503195702 1753728319 2254793553 3006391404 3507456638 4509587106 5261184957 7014913276 9019174212 10522369914 15783554871 21044739828 31567109742 52862382187 63134219484 105724764374 158587146561 211449528748 317174293122 370036675309 475761439683 634348586244 740073350618 951522879366 1110110025927 1480146701236 1903045758732 2220220051854 3330330077781 4440440103708 6660660155562 13321320311124