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132100133434344 = 23327092587763153
BaseRepresentation
bin11110000010010011110101…
…100001110011001111101000
3122022201122112102120122111100
4132002103311201303033220
5114303312033124344334
61144541544042001400
736552630311311455
oct3602236541631750
9568648472518440
10132100133434344
1139100396531329
1212995a834a6260
135892cb2177a0a
1424899756c482c
15104136336bc99
hex7824f58733e8

132100133434344 has 48 divisors (see below), whose sum is σ = 358275808671300. Its totient is φ = 43971271478784.

The previous prime is 132100133434319. The next prime is 132100133434393. The reversal of 132100133434344 is 443434331001231.

132100133434344 is a `hidden beast` number, since 1 + 3 + 210 + 0 + 1 + 3 + 3 + 4 + 3 + 434 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 132065190609444 + 34942824900 = 11491962^2 + 186930^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 132100133434299 and 132100133434308.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1293830529 + ... + 1293932624.

Almost surely, 2132100133434344 is an apocalyptic number.

It is an amenable number.

132100133434344 is an abundant number, since it is smaller than the sum of its proper divisors (226175675236956).

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

132100133434344 is a wasteful number, since it uses less digits than its factorization.

132100133434344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2587763874 (or 2587763867 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 132100133434344 its reverse (443434331001231), we get a palindrome (575534464435575).

The spelling of 132100133434344 in words is "one hundred thirty-two trillion, one hundred billion, one hundred thirty-three million, four hundred thirty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 709 1418 2127 2836 4254 5672 6381 8508 12762 17016 25524 51048 2587763153 5175526306 7763289459 10351052612 15526578918 20702105224 23289868377 31053157836 46579736754 62106315672 93159473508 186318947016 1834724075477 3669448150954 5504172226431 7338896301908 11008344452862 14677792603816 16512516679293 22016688905724 33025033358586 44033377811448 66050066717172 132100133434344