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132023141320231 = 7509304930793947
BaseRepresentation
bin11110000001001100001000…
…011100001100011000100111
3122022110021210201100000020101
4132001030020130030120213
5114301031343134221411
61144442332133444531
736544233342165460
oct3601141034143047
9568407721300211
10132023141320231
1139080777491457
1212982b76aa0747
135888962258945
142485d50205d67
15103e358e9d8c1
hex78130870c627

132023141320231 has 32 divisors (see below), whose sum is σ = 151317048960000. Its totient is φ = 112838062839552.

The previous prime is 132023141320223. The next prime is 132023141320241.

132023141320231 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 132023141320231 - 23 = 132023141320223 is a prime.

It is a super-2 number, since 2×1320231413202312 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 132023141320231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132023141320241) 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 31 ways as a sum of consecutive naturals, for example, 33448982400 + ... + 33448986346.

It is an arithmetic number, because the mean of its divisors is an integer number (4728657780000).

Almost surely, 2132023141320231 is an apocalyptic number.

132023141320231 is a deficient number, since it is larger than the sum of its proper divisors (19293907639769).

132023141320231 is a wasteful number, since it uses less digits than its factorization.

132023141320231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10591.

The product of its (nonzero) digits is 5184, while the sum is 28.

The spelling of 132023141320231 in words is "one hundred thirty-two trillion, twenty-three billion, one hundred forty-one million, three hundred twenty thousand, two hundred thirty-one".

Divisors: 1 7 509 3049 3079 3563 3947 21343 21553 27629 1551941 1567211 2009023 9387871 10863587 10970477 12034403 12152813 14063161 65715097 84240821 85069691 4778426339 6125511127 6185781817 33448984373 37053926837 42878577889 43300472719 259377487859 18860448760033 132023141320231