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102132223231032 = 23321418503100431
BaseRepresentation
bin10111001110001110000010…
…111000101100010000111000
3111101121202010020111110111200
4113032032002320230100320
5101341313243121343112
61001114521242254200
730340544462440641
oct2716160270542070
9441552106443450
10102132223231032
112a5a703a483505
12b555aaaab7360
1344cb048058457
141b313241346c8
15bc1a608bacdc
hex5ce382e2c438

102132223231032 has 24 divisors (see below), whose sum is σ = 276608104584240. Its totient is φ = 34044074410320.

The previous prime is 102132223231013. The next prime is 102132223231061. The reversal of 102132223231032 is 230132322231201.

102132223231032 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 322 + 2 + 323 + 10 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×1021322232310322 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102132223230987 and 102132223231005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 709251550144 + ... + 709251550287.

It is an arithmetic number, because the mean of its divisors is an integer number (11525337691010).

Almost surely, 2102132223231032 is an apocalyptic number.

102132223231032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102132223231032 is an abundant number, since it is smaller than the sum of its proper divisors (174475881353208).

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

102132223231032 is a wasteful number, since it uses less digits than its factorization.

102132223231032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1418503100443 (or 1418503100436 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 102132223231032 its reverse (230132322231201), we get a palindrome (332264545462233).

The spelling of 102132223231032 in words is "one hundred two trillion, one hundred thirty-two billion, two hundred twenty-three million, two hundred thirty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1418503100431 2837006200862 4255509301293 5674012401724 8511018602586 11348024803448 12766527903879 17022037205172 25533055807758 34044074410344 51066111615516 102132223231032