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2132113112231 = 23613259466303
BaseRepresentation
bin11111000001101011110…
…110000011110010100111
321112211100121222022121212
4133001223312003302213
5234413031424042411
64311251303302035
7310016515300334
oct37015366036247
97484317868555
102132113112231
117522512a4463
122a527444a91b
1312609916806b
14752a285998b
153a6db5e868b
hex1f06bd83ca7

2132113112231 has 16 divisors (see below), whose sum is σ = 2261984747520. Its totient is φ = 2005359729120.

The previous prime is 2132113112179. The next prime is 2132113112249. The reversal of 2132113112231 is 1322113112312.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-2132113112231 is a prime.

It is a super-2 number, since 2×21321131122312 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2132113112197 and 2132113112206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132113112251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4339226 + ... + 4805528.

It is an arithmetic number, because the mean of its divisors is an integer number (141374046720).

Almost surely, 22132113112231 is an apocalyptic number.

2132113112231 is a deficient number, since it is larger than the sum of its proper divisors (129871635289).

2132113112231 is a wasteful number, since it uses less digits than its factorization.

2132113112231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469646.

The product of its digits is 432, while the sum is 23.

Adding to 2132113112231 its reverse (1322113112312), we get a palindrome (3454226224543).

The spelling of 2132113112231 in words is "two trillion, one hundred thirty-two billion, one hundred thirteen million, one hundred twelve thousand, two hundred thirty-one".

Divisors: 1 23 61 1403 3259 74957 198799 466303 4572377 10724969 28444483 654223109 1519681477 34952673971 92700570097 2132113112231