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12002132131031 = 7531163211113177
BaseRepresentation
bin1010111010100111011011…
…0100100111110011010111
31120111101121020001120201102
42232221312310213303113
53033120331311143111
641305411533020315
72346061010561660
oct256516664476327
946441536046642
1012002132131031
113908091769469
12141a11592469b
13690a4734a693
142d6c98c30367
1515c30a1d313b
hexaea76d27cd7

12002132131031 has 32 divisors (see below), whose sum is σ = 13995233353728. Its totient is φ = 10079216259840.

The previous prime is 12002132131027. The next prime is 12002132131039. The reversal of 12002132131031 is 13013123120021.

It is a happy number.

It is not a de Polignac number, because 12002132131031 - 22 = 12002132131027 is a prime.

It is a super-2 number, since 2×120021321310312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12002132130994 and 12002132131012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12002132131039) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 910832915 + ... + 910846091.

It is an arithmetic number, because the mean of its divisors is an integer number (437351042304).

Almost surely, 212002132131031 is an apocalyptic number.

12002132131031 is a deficient number, since it is larger than the sum of its proper divisors (1993101222697).

12002132131031 is a wasteful number, since it uses less digits than its factorization.

12002132131031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16511.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 12002132131031 its reverse (13013123120021), we get a palindrome (25015255251052).

The spelling of 12002132131031 in words is "twelve trillion, two billion, one hundred thirty-two million, one hundred thirty-one thousand, thirty-one".

Divisors: 1 7 53 371 1163 2111 8141 13177 14777 61639 92239 111883 431473 698381 783181 2455093 4888667 15324851 17185651 27816647 107273957 130119929 194716529 812217103 910839503 1474282291 5685519721 10319976037 32350760461 226455323227 1714590304433 12002132131031