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132231000132231 = 371121319400752579
BaseRepresentation
bin11110000100001101101101…
…110010101000101010000111
3122100012011022202100201002220
4132010031231302220222013
5114312433042013212411
61145122025521303423
736565242311014020
oct3604155562505207
9570164282321086
10132231000132231
1139150941357400
12129b7306494b73
1358a2439785c20
14249202bd1bc47
15104497232eb06
hex78436dca8a87

132231000132231 has 192 divisors, whose sum is σ = 251135405875200. Its totient is φ = 60054103676160.

The previous prime is 132231000132149. The next prime is 132231000132251.

132231000132231 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 132231000132231 - 245 = 97046628043399 is a prime.

It is a super-2 number, since 2×1322310001322312 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132231000132251) 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 191 ways as a sum of consecutive naturals, for example, 2514875100 + ... + 2514927678.

It is an arithmetic number, because the mean of its divisors is an integer number (1307996905600).

Almost surely, 2132231000132231 is an apocalyptic number.

132231000132231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

132231000132231 is a deficient number, since it is larger than the sum of its proper divisors (118904405742969).

132231000132231 is a wasteful number, since it uses less digits than its factorization.

132231000132231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56650 (or 56639 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

It can be divided in two parts, 132231000 and 132231, that added together give a palindrome (132363231).

The spelling of 132231000132231 in words is "one hundred thirty-two trillion, two hundred thirty-one billion, one hundred thirty-two thousand, two hundred thirty-one".