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132211312000131 = 373139883480003
BaseRepresentation
bin11110000011111011011000…
…010010010111110010000011
3122100010021111122122222012010
4132003323120102113302003
5114312122231333001011
61145105012132304003
736563644363446000
oct3603733022276203
9570107448588163
10132211312000131
1139143558978351
12129b3530a72003
1358a061c8a2c10
1424910c12188a7
1510441bdb691a6
hex783ed8497c83

132211312000131 has 32 divisors (see below), whose sum is σ = 221389952089600. Its totient is φ = 69737834894112.

The previous prime is 132211312000121. The next prime is 132211312000199. The reversal of 132211312000131 is 131000213112231.

It is not a de Polignac number, because 132211312000131 - 29 = 132211311999619 is a prime.

It is a super-2 number, since 2×1322113120001312 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 132211312000098 and 132211312000107.

It is not an unprimeable number, because it can be changed into a prime (132211312000121) 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, 4941726625 + ... + 4941753378.

It is an arithmetic number, because the mean of its divisors is an integer number (6918436002800).

Almost surely, 2132211312000131 is an apocalyptic number.

132211312000131 is a deficient number, since it is larger than the sum of its proper divisors (89178640089469).

132211312000131 is an equidigital number, since it uses as much as digits as its factorization.

132211312000131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9883480040 (or 9883480026 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 132211312000131 its reverse (131000213112231), we get a palindrome (263211525112362).

The spelling of 132211312000131 in words is "one hundred thirty-two trillion, two hundred eleven billion, three hundred twelve million, one hundred thirty-one", and thus it is an aban number.

Divisors: 1 3 7 13 21 39 49 91 147 273 343 637 1029 1911 4459 13377 9883480003 29650440009 69184360021 128485240039 207553080063 385455720117 484290520147 899396680273 1452871560441 2698190040819 3390033641029 6295776761911 10170100923087 18887330285733 44070437333377 132211312000131