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12101102131231 = 123741592352157
BaseRepresentation
bin1011000000011000000111…
…1001001101100000011111
31120211212001121120111212101
42300012001321031200133
53041231024121144411
641423100343345531
72356163406651421
oct260060171154037
946755047514771
1012101102131231
113946059750463
1214353367522a7
1369a18a648089
142db9a7174811
1515eb9dcb28c1
hexb0181e4d81f

12101102131231 has 8 divisors (see below), whose sum is σ = 12113801872640. Its totient is φ = 12088407104928.

The previous prime is 12101102131201. The next prime is 12101102131241. The reversal of 12101102131231 is 13213120110121.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12101102131231 is a prime.

It is a super-2 number, since 2×121011021312312 (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 = 12101102131199 and 12101102131208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12101102131201) 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 7 ways as a sum of consecutive naturals, for example, 3968605 + ... + 6320761.

It is an arithmetic number, because the mean of its divisors is an integer number (1514225234080).

Almost surely, 212101102131231 is an apocalyptic number.

12101102131231 is a deficient number, since it is larger than the sum of its proper divisors (12699741409).

12101102131231 is a wasteful number, since it uses less digits than its factorization.

12101102131231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2357553.

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 12101102131231 its reverse (13213120110121), we get a palindrome (25314222241352).

The spelling of 12101102131231 in words is "twelve trillion, one hundred one billion, one hundred two million, one hundred thirty-one thousand, two hundred thirty-one".

Divisors: 1 1237 4159 2352157 5144683 2909618209 9782620963 12101102131231