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10006110520 = 235735736109
BaseRepresentation
bin10010101000110100…
…10010000100111000
3221211100021002011221
421110122102010320
5130443031014040
64332521401424
7502650351610
oct112432220470
927740232157
1010006110520
114275208a2a
121b33039274
13c36049873
146accb3a40
153d86b874a
hex254692138

10006110520 has 32 divisors (see below), whose sum is σ = 25729999200. Its totient is φ = 3430666368.

The previous prime is 10006110481. The next prime is 10006110547. The reversal of 10006110520 is 2501160001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10006110494 and 10006110503.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17867775 + ... + 17868334.

It is an arithmetic number, because the mean of its divisors is an integer number (804062475).

Almost surely, 210006110520 is an apocalyptic number.

10006110520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10006110520 is an abundant number, since it is smaller than the sum of its proper divisors (15723888680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10006110520 is a wasteful number, since it uses less digits than its factorization.

10006110520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35736127 (or 35736123 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

Adding to 10006110520 its reverse (2501160001), we get a palindrome (12507270521).

The spelling of 10006110520 in words is "ten billion, six million, one hundred ten thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 35736109 71472218 142944436 178680545 250152763 285888872 357361090 500305526 714722180 1000611052 1250763815 1429444360 2001222104 2501527630 5003055260 10006110520