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106831020507 = 3834317971249
BaseRepresentation
bin110001101111110100…
…0000000000111011011
3101012202020102010202020
41203133220000013123
53222242220124012
6121024423305523
710501241456121
oct1433750000733
9335666363666
10106831020507
11413413649a2
12188555ab2a3
13a0c6acca03
145256391911
152ba3cc5a8c
hex18dfa001db

106831020507 has 32 divisors (see below), whose sum is σ = 144789120000. Its totient is φ = 70055132160.

The previous prime is 106831020503. The next prime is 106831020511. The reversal of 106831020507 is 705020138601.

It is an interprime number because it is at equal distance from previous prime (106831020503) and next prime (106831020511).

It is not a de Polignac number, because 106831020507 - 22 = 106831020503 is a prime.

It is a super-2 number, since 2×1068310205072 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106831020503) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85532619 + ... + 85533867.

It is an arithmetic number, because the mean of its divisors is an integer number (4524660000).

Almost surely, 2106831020507 is an apocalyptic number.

106831020507 is a deficient number, since it is larger than the sum of its proper divisors (37958099493).

106831020507 is a wasteful number, since it uses less digits than its factorization.

106831020507 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2563.

The product of its (nonzero) digits is 10080, while the sum is 33.

The spelling of 106831020507 in words is "one hundred six billion, eight hundred thirty-one million, twenty thousand, five hundred seven".

Divisors: 1 3 83 249 431 797 1249 1293 2391 3747 35773 66151 103667 107319 198453 311001 343507 538319 995453 1030521 1614957 2986359 28511081 44680477 82622599 85533243 134041431 247867797 429040243 1287120729 35610340169 106831020507