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106113431535 = 3510170041869
BaseRepresentation
bin110001011010011011…
…0100111011111101111
3101010220020010211201220
41202310312213133233
53214310014302120
6120425311034423
710444406200026
oct1426466473757
9333806124656
10106113431535
11410032a1761
121869520ba13
13a011242757
1451c8d598bd
152b60ccbb40
hex18b4da77ef

106113431535 has 16 divisors (see below), whose sum is σ = 171462497760. Its totient is φ = 56033494400.

The previous prime is 106113431521. The next prime is 106113431539. The reversal of 106113431535 is 535134311601.

It is a happy number.

It is not a de Polignac number, because 106113431535 - 26 = 106113431471 is a prime.

It is a super-2 number, since 2×1061134315352 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106113431496 and 106113431505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106113431539) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35019420 + ... + 35022449.

It is an arithmetic number, because the mean of its divisors is an integer number (10716406110).

Almost surely, 2106113431535 is an apocalyptic number.

106113431535 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106113431535 is a deficient number, since it is larger than the sum of its proper divisors (65349066225).

106113431535 is a wasteful number, since it uses less digits than its factorization.

106113431535 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70041978.

The product of its (nonzero) digits is 16200, while the sum is 33.

The spelling of 106113431535 in words is "one hundred six billion, one hundred thirteen million, four hundred thirty-one thousand, five hundred thirty-five".

Divisors: 1 3 5 15 101 303 505 1515 70041869 210125607 350209345 1050628035 7074228769 21222686307 35371143845 106113431535