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107314191999 = 32723149915731
BaseRepresentation
bin110001111110001101…
…1001001111001111111
3101020222220120210102200
41203330123021321333
53224234413120444
6121144403322543
710516226403300
oct1437433117177
9336886523380
10107314191999
114156a077883
121896b380453
13a172c420c1
1452a06067a7
152bd1417969
hex18fc6c9e7f

107314191999 has 72 divisors (see below), whose sum is σ = 186518592000. Its totient is φ = 59221562400.

The previous prime is 107314191983. The next prime is 107314192001. The reversal of 107314191999 is 999191413701.

107314191999 is a `hidden beast` number, since 1 + 0 + 7 + 31 + 419 + 199 + 9 = 666.

It is not a de Polignac number, because 107314191999 - 24 = 107314191983 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107314191949) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6813964 + ... + 6829694.

It is an arithmetic number, because the mean of its divisors is an integer number (2590536000).

Almost surely, 2107314191999 is an apocalyptic number.

107314191999 is a deficient number, since it is larger than the sum of its proper divisors (79204400001).

107314191999 is a wasteful number, since it uses less digits than its factorization.

107314191999 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16281 (or 16271 counting only the distinct ones).

The product of its (nonzero) digits is 551124, while the sum is 54.

The spelling of 107314191999 in words is "one hundred seven billion, three hundred fourteen million, one hundred ninety-one thousand, nine hundred ninety-nine".

Divisors: 1 3 7 9 21 31 49 63 93 147 217 279 441 499 651 1497 1519 1953 3493 4491 4557 10479 13671 15469 15731 24451 31437 46407 47193 73353 108283 110117 139221 141579 220059 324849 330351 487661 757981 770819 974547 991053 1462983 2273943 2312457 3413627 4388949 6821829 6937371 7849769 10240881 23549307 23895389 30722643 54948383 70647921 71686167 164845149 215058501 243342839 384638681 494535447 730028517 1153916043 1703399873 2190085551 3461748129 5110199619 11923799111 15330598857 35771397333 107314191999