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106118578197 = 3337106224803
BaseRepresentation
bin110001011010100101…
…0010000000000010101
3101010220120211022122000
41202311022100000111
53214312324000242
6120430013225513
710444501013622
oct1426512200025
9333816738560
10106118578197
11410061974a5
1218696a92299
13a012325208
1451c98d9349
152b61496a4c
hex18b5290015

106118578197 has 16 divisors (see below), whose sum is σ = 161461702080. Its totient is φ = 68833671696.

The previous prime is 106118578177. The next prime is 106118578199. The reversal of 106118578197 is 791875811601.

106118578197 is a `hidden beast` number, since 1 + 0 + 61 + 1 + 8 + 578 + 1 + 9 + 7 = 666.

It is not a de Polignac number, because 106118578197 - 211 = 106118576149 is a prime.

It is a super-2 number, since 2×1061185781972 (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 (106118578199) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 53111403 + ... + 53113400.

It is an arithmetic number, because the mean of its divisors is an integer number (10091356380).

Almost surely, 2106118578197 is an apocalyptic number.

It is an amenable number.

106118578197 is a deficient number, since it is larger than the sum of its proper divisors (55343123883).

106118578197 is a wasteful number, since it uses less digits than its factorization.

106118578197 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106224849 (or 106224843 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 54.

The spelling of 106118578197 in words is "one hundred six billion, one hundred eighteen million, five hundred seventy-eight thousand, one hundred ninety-seven".

Divisors: 1 3 9 27 37 111 333 999 106224803 318674409 956023227 2868069681 3930317711 11790953133 35372859399 106118578197