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130432110401133 = 32701109718845921
BaseRepresentation
bin11101101010000010010111…
…100110111001011001101101
3122002211012002000222001020200
4131222002113212321121231
5114043444430230314013
61141223403451304113
736321260200415352
oct3552022746713155
9562735060861220
10130432110401133
1138617a46a66222
1212766749a4b039
1357a1906578788
14242cd3aba2629
151012c89ed9e73
hex76a0979b966d

130432110401133 has 24 divisors (see below), whose sum is σ = 188842696820856. Its totient is φ = 86751538944000.

The previous prime is 130432110401119. The next prime is 130432110401141. The reversal of 130432110401133 is 331104011234031.

130432110401133 is a `hidden beast` number, since 1 + 3 + 0 + 43 + 211 + 0 + 401 + 1 + 3 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 52564863526569 + 77867246874564 = 7250163^2 + 8824242^2 .

It is not a de Polignac number, because 130432110401133 - 218 = 130432110138989 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 130432110401097 and 130432110401106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130432110441133) 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, 2501988 + ... + 16343933.

It is an arithmetic number, because the mean of its divisors is an integer number (7868445700869).

Almost surely, 2130432110401133 is an apocalyptic number.

It is an amenable number.

130432110401133 is a deficient number, since it is larger than the sum of its proper divisors (58410586419723).

130432110401133 is a wasteful number, since it uses less digits than its factorization.

130432110401133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18847725 (or 18847722 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 130432110401133 its reverse (331104011234031), we get a palindrome (461536121635164).

The spelling of 130432110401133 in words is "one hundred thirty trillion, four hundred thirty-two billion, one hundred ten million, four hundred one thousand, one hundred thirty-three".

Divisors: 1 3 9 701 1097 2103 3291 6309 9873 768997 2306991 6920973 18845921 56537763 169613289 13210990621 20673975337 39632971863 62021926011 118898915589 186065778033 14492456711237 43477370133711 130432110401133