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101117379609 = 3294971183033
BaseRepresentation
bin101111000101100010…
…0001100010000011001
3100200000001012002220200
41132023010030100121
53124042022121414
6114241440212413
710206532355001
oct1361304142031
9320001162820
10101117379609
113997a140a24
121772000a109
1396c6166bcc
144c73605001
15296c3a5109
hex178b10c419

101117379609 has 12 divisors (see below), whose sum is σ = 146073940116. Its totient is φ = 67404431232.

The previous prime is 101117379599. The next prime is 101117379647. The reversal of 101117379609 is 906973711101.

101117379609 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 1 + 7 + 37 + 9 + 609 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 47410707600 + 53706672009 = 217740^2 + 231747^2 .

It is not a de Polignac number, because 101117379609 - 25 = 101117379577 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101117379709) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 506044 + ... + 676989.

It is an arithmetic number, because the mean of its divisors is an integer number (12172828343).

Almost surely, 2101117379609 is an apocalyptic number.

It is an amenable number.

101117379609 is a deficient number, since it is larger than the sum of its proper divisors (44956560507).

101117379609 is a wasteful number, since it uses less digits than its factorization.

101117379609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192536 (or 1192533 counting only the distinct ones).

The product of its (nonzero) digits is 71442, while the sum is 45.

The spelling of 101117379609 in words is "one hundred one billion, one hundred seventeen million, three hundred seventy-nine thousand, six hundred nine".

Divisors: 1 3 9 9497 28491 85473 1183033 3549099 10647297 11235264401 33705793203 101117379609