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107122466979 = 33111781126161
BaseRepresentation
bin110001111000011111…
…1110010000010100011
3101020111112211011011000
41203300333302002203
53223341322420404
6121113354123043
710511410642233
oct1436077620243
9336445734130
10107122466979
1141480926a50
1218917120483
13a1422c4448
145282d79cc3
152bbe695339
hex18f0ff20a3

107122466979 has 64 divisors (see below), whose sum is σ = 183544220160. Its totient is φ = 61026048000.

The previous prime is 107122466921. The next prime is 107122467073. The reversal of 107122466979 is 979664221701.

107122466979 is a `hidden beast` number, since 1 + 0 + 71 + 22 + 466 + 97 + 9 = 666.

It is not a de Polignac number, because 107122466979 - 29 = 107122466467 is a prime.

It is a super-2 number, since 2×1071224669792 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107122466879) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4081659 + ... + 4107819.

It is an arithmetic number, because the mean of its divisors is an integer number (2867878440).

Almost surely, 2107122466979 is an apocalyptic number.

107122466979 is a deficient number, since it is larger than the sum of its proper divisors (76421753181).

107122466979 is a wasteful number, since it uses less digits than its factorization.

107122466979 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27009 (or 27003 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 107122466979 in words is "one hundred seven billion, one hundred twenty-two million, four hundred sixty-six thousand, nine hundred seventy-nine".

Divisors: 1 3 9 11 17 27 33 51 99 153 187 297 459 561 811 1683 2433 5049 7299 8921 13787 21897 26161 26763 41361 78483 80289 124083 151657 235449 240867 287771 372249 444737 454971 706347 863313 1334211 1364913 2589939 4002633 4094739 4892107 7769817 12007899 14676321 21216571 44028963 63649713 132086889 190949139 233382281 360681707 572847417 700146843 1082045121 2100440529 3246135363 3967498777 6301321587 9738406089 11902496331 35707488993 107122466979