Search a number
-
+
132340412422031 = 11231193182805017
BaseRepresentation
bin11110000101110011100111…
…010001011001011110001111
3122100120121201212212220122112
4132011303213101121132033
5114321231131040001111
61145244202434334235
736606164535102452
oct3605634721313617
9570517655786575
10132340412422031
1139193287783100
1212a1456042a37b
1358ac85529b0c8
14249744b037499
151047727a35e8b
hex785ce745978f

132340412422031 has 24 divisors (see below), whose sum is σ = 150935522381952. Its totient is φ = 115825258137600.

The previous prime is 132340412422003. The next prime is 132340412422051. The reversal of 132340412422031 is 130224214043231.

It is a happy number.

It is not a de Polignac number, because 132340412422031 - 26 = 132340412421967 is a prime.

It is a super-2 number, since 2×1323404124220312 (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 (132340412422051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90678566 + ... + 92126451.

It is an arithmetic number, because the mean of its divisors is an integer number (6288980099248).

Almost surely, 2132340412422031 is an apocalyptic number.

132340412422031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

132340412422031 is a deficient number, since it is larger than the sum of its proper divisors (18595109959921).

132340412422031 is a wasteful number, since it uses less digits than its factorization.

132340412422031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182805263 (or 182805252 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 132340412422031 its reverse (130224214043231), we get a palindrome (262564626465262).

The spelling of 132340412422031 in words is "one hundred thirty-two trillion, three hundred forty billion, four hundred twelve million, four hundred twenty-two thousand, thirty-one".

Divisors: 1 11 31 121 193 341 2123 3751 5983 23353 65813 723943 182805017 2010855187 5666955527 22119407057 35281368281 62336510797 388095051091 685701618767 1093722416711 4269045562001 12030946583821 132340412422031