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106212116593 = 11251118132573
BaseRepresentation
bin110001011101010111…
…1000100100001110001
3101011011002211120012001
41202322233010201301
53220010300212333
6120443154134001
710450015044412
oct1427257044161
9334132746161
10106212116593
1141053a75260
1218702281301
13a02881588b
1451d80c7809
152b697c1b7d
hex18babc4871

106212116593 has 16 divisors (see below), whose sum is σ = 116431463232. Its totient is φ = 96087400000.

The previous prime is 106212116587. The next prime is 106212116609. The reversal of 106212116593 is 395611212601.

It is a cyclic number.

It is not a de Polignac number, because 106212116593 - 29 = 106212116081 is a prime.

It is a super-2 number, since 2×1062121165932 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106212116693) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3244455 + ... + 3277027.

It is an arithmetic number, because the mean of its divisors is an integer number (7276966452).

Almost surely, 2106212116593 is an apocalyptic number.

It is an amenable number.

106212116593 is a deficient number, since it is larger than the sum of its proper divisors (10219346639).

106212116593 is a wasteful number, since it uses less digits than its factorization.

106212116593 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34016.

The product of its (nonzero) digits is 19440, while the sum is 37.

The spelling of 106212116593 in words is "one hundred six billion, two hundred twelve million, one hundred sixteen thousand, five hundred ninety-three".

Divisors: 1 11 251 1181 2761 12991 32573 296431 358303 3260741 8175823 38468713 89934053 423155843 9655646963 106212116593