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106713427871 = 1731247781749
BaseRepresentation
bin110001101100010011…
…1011010111110011111
3101012110001010210222102
41203120213122332133
53222022114142441
6121005023035315
710465313112341
oct1433047327637
9335401123872
10106713427871
1141290a478a6
121882213bb3b
13a0a863977b
145244901291
152b987e869b
hex18d89daf9f

106713427871 has 16 divisors (see below), whose sum is σ = 116684064000. Its totient is φ = 97155863040.

The previous prime is 106713427841. The next prime is 106713427879. The reversal of 106713427871 is 178724317601.

It is a cyclic number.

It is not a de Polignac number, because 106713427871 - 226 = 106646319007 is a prime.

It is a super-2 number, since 2×1067134278712 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106713427879) 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 15 ways as a sum of consecutive naturals, for example, 1264505 + ... + 1346253.

It is an arithmetic number, because the mean of its divisors is an integer number (7292754000).

Almost surely, 2106713427871 is an apocalyptic number.

106713427871 is a deficient number, since it is larger than the sum of its proper divisors (9970636129).

106713427871 is a wasteful number, since it uses less digits than its factorization.

106713427871 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84274.

The product of its (nonzero) digits is 395136, while the sum is 47.

The spelling of 106713427871 in words is "one hundred six billion, seven hundred thirteen million, four hundred twenty-seven thousand, eight hundred seventy-one".

Divisors: 1 17 31 527 2477 42109 76787 81749 1305379 1389733 2534219 43081723 202492273 3442368641 6277260463 106713427871