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106635000351 = 31131557187141
BaseRepresentation
bin110001101001111110…
…0001111101000011111
3101012020120120021122110
41203103330033220133
53221342030002401
6120553142045103
710463341355565
oct1432374175037
9335216507573
10106635000351
1141250750070
12187bba19793
13a09530a059
145238327a35
152b919a59d6
hex18d3f0fa1f

106635000351 has 32 divisors (see below), whose sum is σ = 160397162496. Its totient is φ = 62429904000.

The previous prime is 106635000287. The next prime is 106635000419. The reversal of 106635000351 is 153000536601.

It is not a de Polignac number, because 106635000351 - 26 = 106635000287 is a prime.

It is a super-2 number, since 2×1066350003512 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106635000551) 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, 476241 + ... + 663381.

It is an arithmetic number, because the mean of its divisors is an integer number (5012411328).

Almost surely, 2106635000351 is an apocalyptic number.

106635000351 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

106635000351 is a deficient number, since it is larger than the sum of its proper divisors (53762162145).

106635000351 is a wasteful number, since it uses less digits than its factorization.

106635000351 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187743.

The product of its (nonzero) digits is 8100, while the sum is 30.

Adding to 106635000351 its reverse (153000536601), we get a palindrome (259635536952).

The spelling of 106635000351 in words is "one hundred six billion, six hundred thirty-five million, three hundred fifty-one", and thus it is an aban number.

Divisors: 1 3 11 31 33 93 341 557 1023 1671 6127 17267 18381 51801 187141 189937 561423 569811 2058551 5801371 6175653 17404113 63815081 104237537 191445243 312712611 1146612907 3231363647 3439838721 9694090941 35545000117 106635000351