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106165161603 = 3228141979107
BaseRepresentation
bin110001011011111101…
…1111100111010000011
3101011000211111000001100
41202313323330322003
53214411240132403
6120434355505443
710445604661404
oct1426773747203
9334024430040
10106165161603
114102a514286
12186aa5b8283
13a01bb85467
1451d1b839ab
152b655e92a3
hex18b7efce83

106165161603 has 12 divisors (see below), whose sum is σ = 153895409928. Its totient is φ = 70524898080.

The previous prime is 106165161601. The next prime is 106165161607. The reversal of 106165161603 is 306161561601.

106165161603 is a `hidden beast` number, since 10 + 616 + 5 + 16 + 16 + 0 + 3 = 666.

It is not a de Polignac number, because 106165161603 - 21 = 106165161601 is a prime.

It is a super-2 number, since 2×1061651616032 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106165161601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20987025 + ... + 20992082.

It is an arithmetic number, because the mean of its divisors is an integer number (12824617494).

Almost surely, 2106165161603 is an apocalyptic number.

106165161603 is a deficient number, since it is larger than the sum of its proper divisors (47730248325).

106165161603 is a wasteful number, since it uses less digits than its factorization.

106165161603 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41979394 (or 41979391 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 106165161603 in words is "one hundred six billion, one hundred sixty-five million, one hundred sixty-one thousand, six hundred three".

Divisors: 1 3 9 281 843 2529 41979107 125937321 377811963 11796129067 35388387201 106165161603