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100071107104 = 2517183954241
BaseRepresentation
bin101110100110010110…
…0111110101000100000
3100120022010102221212011
41131030230332220200
53114421200411404
6113545543042304
710141566242563
oct1351454765040
9316263387764
10100071107104
1139492592a01
1217489740394
13958a478157
144bb46904da
15290a5d3604
hex174cb3ea20

100071107104 has 24 divisors (see below), whose sum is σ = 208604110428. Its totient is φ = 47092285440.

The previous prime is 100071107051. The next prime is 100071107153. The reversal of 100071107104 is 401701170001.

100071107104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 99944499600 + 126607504 = 316140^2 + 11252^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 91976577 + ... + 91977664.

Almost surely, 2100071107104 is an apocalyptic number.

It is an amenable number.

100071107104 is an abundant number, since it is smaller than the sum of its proper divisors (108533003324).

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

100071107104 is a wasteful number, since it uses less digits than its factorization.

100071107104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183954268 (or 183954260 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 22.

Adding to 100071107104 its reverse (401701170001), we get a palindrome (501772277105).

It can be divided in two parts, 10007 and 1107104, that added together give a palindrome (1117111).

The spelling of 100071107104 in words is "one hundred billion, seventy-one million, one hundred seven thousand, one hundred four".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 183954241 367908482 735816964 1471633928 2943267856 3127222097 5886535712 6254444194 12508888388 25017776776 50035553552 100071107104