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132322313001000 = 2335344107437667
BaseRepresentation
bin11110000101100010110000…
…011101100101100000101000
3122100111220000111122001121110
4132011202300131211200220
5114320432044112013000
61145232010441110320
736604654161416223
oct3605426035454050
9570456014561543
10132322313001000
113918663a065201
1212a10b4aa883a0
1358aac2c59a715
14249661132a5ba
151047018a8e850
hex7858b0765828

132322313001000 has 64 divisors (see below), whose sum is σ = 412845616572480. Its totient is φ = 35285950132800.

The previous prime is 132322313000993. The next prime is 132322313001007. The reversal of 132322313001000 is 100313223231.

It is an interprime number because it is at equal distance from previous prime (132322313000993) and next prime (132322313001007).

It is a super-2 number, since 2×1323223130010002 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132322313001007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22053715834 + ... + 22053721833.

It is an arithmetic number, because the mean of its divisors is an integer number (6450712758945).

Almost surely, 2132322313001000 is an apocalyptic number.

132322313001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132322313001000 is an abundant number, since it is smaller than the sum of its proper divisors (280523303571480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132322313001000 is a wasteful number, since it uses less digits than its factorization.

132322313001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44107437691 (or 44107437677 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 132322313001000 its reverse (100313223231), we get a palindrome (132422626224231).

The spelling of 132322313001000 in words is "one hundred thirty-two trillion, three hundred twenty-two billion, three hundred thirteen million, one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 44107437667 88214875334 132322313001 176429750668 220537188335 264644626002 352859501336 441074376670 529289252004 661611565005 882148753340 1058578504008 1102685941675 1323223130010 1764297506680 2205371883350 2646446260020 3308057825025 4410743766700 5292892520040 5513429708375 6616115650050 8821487533400 11026859416750 13232231300100 16540289125125 22053718833500 26464462600200 33080578250250 44107437667000 66161156500500 132322313001000