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106707700071 = 3274141311537
BaseRepresentation
bin110001101100001000…
…1100100100101100111
3101012102122100210220200
41203120101210211213
53222014132400241
6121004300201543
710465213325250
oct1433021444547
9335378323820
10106707700071
1141288795485
12188202392b3
13a0a73b263b
145243c4db27
152b980664b6
hex18d8464967

106707700071 has 24 divisors (see below), whose sum is σ = 180448797984. Its totient is φ = 59488611840.

The previous prime is 106707700031. The next prime is 106707700109. The reversal of 106707700071 is 170007707601.

It is not a de Polignac number, because 106707700071 - 26 = 106707700007 is a prime.

It is a super-2 number, since 2×1067077000712 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106707699999 and 106707700035.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106707700031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20653186 + ... + 20658351.

It is an arithmetic number, because the mean of its divisors is an integer number (7518699916).

Almost surely, 2106707700071 is an apocalyptic number.

106707700071 is a deficient number, since it is larger than the sum of its proper divisors (73741097913).

106707700071 is a wasteful number, since it uses less digits than its factorization.

106707700071 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41311591 (or 41311588 counting only the distinct ones).

The product of its (nonzero) digits is 14406, while the sum is 36.

The spelling of 106707700071 in words is "one hundred six billion, seven hundred seven million, seven hundred thousand, seventy-one".

Divisors: 1 3 7 9 21 41 63 123 287 369 861 2583 41311537 123934611 289180759 371803833 867542277 1693773017 2602626831 5081319051 11856411119 15243957153 35569233357 106707700071