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13630833803631 = 31110128119317537
BaseRepresentation
bin1100011001011010110100…
…0000011100000101101111
31210021002120020121002200210
43012112231000130011233
53241311421423204011
644553530230153503
72604536524431552
oct306265500340557
953232506532623
1013630833803631
114385893366330
1216418b67b2893
1377b4c7667c35
14351a4335c699
151898814316a6
hexc65ad01c16f

13630833803631 has 64 divisors (see below), whose sum is σ = 20107300695552. Its totient is φ = 8144908800000.

The previous prime is 13630833803623. The next prime is 13630833803633.

13630833803631 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13630833803631 - 23 = 13630833803623 is a prime.

It is a super-2 number, since 2×136308338036312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13630833803633) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1808518695 + ... + 1808526231.

It is an arithmetic number, because the mean of its divisors is an integer number (314176573368).

Almost surely, 213630833803631 is an apocalyptic number.

13630833803631 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13630833803631 is a deficient number, since it is larger than the sum of its proper divisors (6476466891921).

13630833803631 is a wasteful number, since it uses less digits than its factorization.

13630833803631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9864.

The product of its (nonzero) digits is 1679616, while the sum is 48.

The spelling of 13630833803631 in words is "thirteen trillion, six hundred thirty billion, eight hundred thirty-three million, eight hundred three thousand, six hundred thirty-one".

Divisors: 1 3 11 33 101 281 303 843 1111 1931 3091 3333 5793 7537 9273 21241 22611 28381 63723 82907 85143 195031 248721 312191 542611 585093 761237 936573 1627833 2117897 2145341 2283711 5968721 6353691 6436023 8373607 14553947 17906163 23296867 25120821 43661841 54803711 69890601 160093417 164411133 213907597 480280251 602840821 641722791 1469948647 1808522463 2352983567 4089659107 4409845941 7058950701 12268977321 16169435117 44986250177 48508305351 134958750531 413055569807 1239166709421 4543611267877 13630833803631