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32121311013 = 32113110466377
BaseRepresentation
bin11101111010100101…
…000100111100100101
310001220120220200000200
4131322211010330211
51011241023423023
622431211101113
72214665432031
oct357245047445
9101816820020
1032121311013
1112693708430
126285441799
13304ba0500c
1417aa0811c1
15c7eea0743
hex77a944f25

32121311013 has 24 divisors (see below), whose sum is σ = 52248158976. Its totient is φ = 18839476800.

The previous prime is 32121310987. The next prime is 32121311039. The reversal of 32121311013 is 31011312123.

32121311013 is a `hidden beast` number, since 321 + 21 + 311 + 0 + 13 = 666.

It is an interprime number because it is at equal distance from previous prime (32121310987) and next prime (32121311039).

It is not a de Polignac number, because 32121311013 - 210 = 32121309989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32121311063) by changing a digit.

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, 5230120 + ... + 5236257.

It is an arithmetic number, because the mean of its divisors is an integer number (2177006624).

Almost surely, 232121311013 is an apocalyptic number.

32121311013 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

32121311013 is a deficient number, since it is larger than the sum of its proper divisors (20126847963).

32121311013 is a wasteful number, since it uses less digits than its factorization.

32121311013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10466425 (or 10466422 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 32121311013 its reverse (31011312123), we get a palindrome (63132623136).

The spelling of 32121311013 in words is "thirty-two billion, one hundred twenty-one million, three hundred eleven thousand, thirteen".

Divisors: 1 3 9 11 31 33 93 99 279 341 1023 3069 10466377 31399131 94197393 115130147 324457687 345390441 973373061 1036171323 2920119183 3569034557 10707103671 32121311013