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132020211113231 = 727346379715081
BaseRepresentation
bin11110000001001001011001…
…110010010101110100001111
3122022110000020111122001220012
4132001021121302111310033
5114301004343021110411
61144441125301143435
736544100621635100
oct3601113162256417
9568400214561805
10132020211113231
113907a503460581
12129824996bab7b
1358885b616c94c
142485b52daa3a7
15103e236ae418b
hex781259c95d0f

132020211113231 has 24 divisors (see below), whose sum is σ = 156014532166464. Its totient is φ = 111368981687040.

The previous prime is 132020211113081. The next prime is 132020211113261. The reversal of 132020211113231 is 132311112020231.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-132020211113231 is a prime.

It is a super-2 number, since 2×1320202111132312 (a number of 29 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 = 132020211113197 and 132020211113206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132020211113261) 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 23 ways as a sum of consecutive naturals, for example, 38201390 + ... + 41513691.

It is an arithmetic number, because the mean of its divisors is an integer number (6500605506936).

Almost surely, 2132020211113231 is an apocalyptic number.

132020211113231 is a deficient number, since it is larger than the sum of its proper divisors (23994321053233).

132020211113231 is an equidigital number, since it uses as much as digits as its factorization.

132020211113231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79715631 (or 79715624 counting only the distinct ones).

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

Adding to 132020211113231 its reverse (132311112020231), we get a palindrome (264331323133462).

The spelling of 132020211113231 in words is "one hundred thirty-two trillion, twenty billion, two hundred eleven million, one hundred thirteen thousand, two hundred thirty-one".

Divisors: 1 7 49 73 463 511 3241 3577 22687 33799 236593 1656151 79715081 558005567 3906038969 5819200913 36908082503 40734406391 258356577521 285140844737 1808496042647 2694290022719 18860030159033 132020211113231