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106990520511 = 37109320172311
BaseRepresentation
bin110001110100100100…
…0011100100010111111
3101020011100112120121210
41203221020130202333
53223104033124021
6121052322055503
710505216263530
oct1435110344277
9336140476553
10106990520511
11414133a5686
121889aaaa593
13a120b76a04
14526d630687
152bb2ccee76
hex18e921c8bf

106990520511 has 32 divisors (see below), whose sum is σ = 163333884928. Its totient is φ = 61024803840.

The previous prime is 106990520509. The next prime is 106990520543. The reversal of 106990520511 is 115025099601.

It is not a de Polignac number, because 106990520511 - 21 = 106990520509 is a prime.

It is a super-2 number, since 2×1069905205112 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 106990520511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106990520591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46295046 + ... + 46297356.

It is an arithmetic number, because the mean of its divisors is an integer number (5104183904).

Almost surely, 2106990520511 is an apocalyptic number.

106990520511 is a deficient number, since it is larger than the sum of its proper divisors (56343364417).

106990520511 is a wasteful number, since it uses less digits than its factorization.

106990520511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5431.

The product of its (nonzero) digits is 24300, while the sum is 39.

The spelling of 106990520511 in words is "one hundred six billion, nine hundred ninety million, five hundred twenty thousand, five hundred eleven".

Divisors: 1 3 7 21 1093 2017 2311 3279 6051 6933 7651 14119 16177 22953 42357 48531 2204581 2525923 4661287 6613743 7577769 13983861 15432067 17681461 32629009 46296201 53044383 97887027 5094786691 15284360073 35663506837 106990520511