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13330101323232 = 253337416982649
BaseRepresentation
bin1100000111111010011111…
…1101000100010111100000
31202012100022200101012202000
43001332213331010113200
53221400021414320412
644203433005324000
72544032223505641
oct301764775042740
952170280335660
1013330101323232
11427a29a755731
1215b3567b66600
1375903bb66c95
14341274c296c8
15181b2e7d64dc
hexc1fa7f445e0

13330101323232 has 96 divisors (see below), whose sum is σ = 39930258564000. Its totient is φ = 4323276094464.

The previous prime is 13330101323177. The next prime is 13330101323311. The reversal of 13330101323232 is 23232310103331.

13330101323232 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 0 + 101 + 323 + 232 = 666.

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 (27).

It is a junction number, because it is equal to n+sod(n) for n = 13330101323196 and 13330101323205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 208459357 + ... + 208523292.

It is an arithmetic number, because the mean of its divisors is an integer number (415940193375).

Almost surely, 213330101323232 is an apocalyptic number.

13330101323232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13330101323232 is an abundant number, since it is smaller than the sum of its proper divisors (26600157240768).

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

13330101323232 is a wasteful number, since it uses less digits than its factorization.

13330101323232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416982705 (or 416982691 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 13330101323232 its reverse (23232310103331), we get a palindrome (36562411426563).

The spelling of 13330101323232 in words is "thirteen trillion, three hundred thirty billion, one hundred one million, three hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 72 74 96 108 111 144 148 216 222 288 296 333 432 444 592 666 864 888 999 1184 1332 1776 1998 2664 3552 3996 5328 7992 10656 15984 31968 416982649 833965298 1250947947 1667930596 2501895894 3335861192 3752843841 5003791788 6671722384 7505687682 10007583576 11258531523 13343444768 15011375364 15428358013 20015167152 22517063046 30022750728 30856716026 40030334304 45034126092 46285074039 60045501456 61713432052 90068252184 92570148078 120091002912 123426864104 138855222117 180136504368 185140296156 246853728208 277710444234 360273008736 370280592312 416565666351 493707456416 555420888468 740561184624 833131332702 1110841776936 1481122369248 1666262665404 2221683553872 3332525330808 4443367107744 6665050661616 13330101323232