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132300431012024 = 231135340087106243
BaseRepresentation
bin11110000101001110011000…
…001100011011000010111000
3122100102210112111210211211022
4132011032120030123002320
5114320102240314341044
61145213551242122012
736603251004526052
oct3605163014330270
9570383474724738
10132300431012024
1139178330271aa0
1212a088627b0308
1358a8b53027252
1424955371088d2
1510466879c23ee
hex78539831b0b8

132300431012024 has 64 divisors (see below), whose sum is σ = 271390455555840. Its totient is φ = 59964140712960.

The previous prime is 132300431012017. The next prime is 132300431012083. The reversal of 132300431012024 is 420210134003231.

It is a junction number, because it is equal to n+sod(n) for n = 132300431011984 and 132300431012002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1245209447 + ... + 1245315689.

It is an arithmetic number, because the mean of its divisors is an integer number (4240475868060).

Almost surely, 2132300431012024 is an apocalyptic number.

It is an amenable number.

132300431012024 is an abundant number, since it is smaller than the sum of its proper divisors (139090024543816).

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

132300431012024 is a wasteful number, since it uses less digits than its factorization.

132300431012024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146700 (or 146696 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 132300431012024 its reverse (420210134003231), we get a palindrome (552510565015255).

The spelling of 132300431012024 in words is "one hundred thirty-two trillion, three hundred billion, four hundred thirty-one million, twelve thousand, twenty-four".

Divisors: 1 2 4 8 11 22 44 88 353 706 1412 2824 3883 7766 15532 31064 40087 80174 106243 160348 212486 320696 424972 440957 849944 881914 1168673 1763828 2337346 3527656 4674692 9349384 14150711 28301422 37503779 56602844 75007558 113205688 150015116 155657821 300030232 311315642 412541569 622631284 825083138 1245262568 1650166276 3300332552 4258963141 8517926282 17035852564 34071705128 46848594551 93697189102 187394378204 374788756408 1503413988773 3006827977546 6013655955092 12027311910184 16537553876503 33075107753006 66150215506012 132300431012024