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132121322310131 = 71153100417322403
BaseRepresentation
bin11110000010100111100100…
…011110111100100111110011
3122022210200020010012001201122
4132002213210132330213303
5114304133432002411011
61144555410401052455
736554310350632520
oct3602474436744763
9568720203161648
10132121322310131
113910937a059320
1212999bb762712b
135894caac5063b
14248a9c5842147
151041ba36773db
hex7829e47bc9f3

132121322310131 has 32 divisors (see below), whose sum is σ = 167832854696448. Its totient is φ = 101007876003840.

The previous prime is 132121322310083. The next prime is 132121322310163. The reversal of 132121322310131 is 131013223121231.

It is a cyclic number.

It is not a de Polignac number, because 132121322310131 - 214 = 132121322293747 is a prime.

It is a super-2 number, since 2×1321213223101312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 132121322310131.

It is not an unprimeable number, because it can be changed into a prime (132121322310031) 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, 409640576 + ... + 409962978.

It is an arithmetic number, because the mean of its divisors is an integer number (5244776709264).

Almost surely, 2132121322310131 is an apocalyptic number.

132121322310131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

132121322310131 is a deficient number, since it is larger than the sum of its proper divisors (35711532386317).

132121322310131 is a wasteful number, since it uses less digits than its factorization.

132121322310131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422891.

The product of its (nonzero) digits is 1296, while the sum is 26.

Adding to 132121322310131 its reverse (131013223121231), we get a palindrome (263134545431362).

The spelling of 132121322310131 in words is "one hundred thirty-two trillion, one hundred twenty-one billion, three hundred twenty-two million, three hundred ten thousand, one hundred thirty-one".

Divisors: 1 7 11 53 77 371 583 4081 100417 322403 702919 1104587 2256821 3546433 5322101 7732109 17087359 24825031 37254707 58543111 119611513 187960949 409801777 1315726643 32374742051 226623194357 356122162561 1715861328703 2492855137927 12011029300921 18874474615733 132121322310131