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107355178242 = 232132915820097
BaseRepresentation
bin110001111111011011…
…1100000010100000010
3101021002202201002222200
41203332313200110002
53224330411200432
6121152430014030
710520234646564
oct1437667402402
9337082632880
10107355178242
1141590221404
1218981047316
13a17b592810
1452a5c35334
152bd4d11a7c
hex18fede0502

107355178242 has 48 divisors (see below), whose sum is σ = 259133205240. Its totient is φ = 31893313536.

The previous prime is 107355178237. The next prime is 107355178243. The reversal of 107355178242 is 242871553701.

107355178242 is a `hidden beast` number, since 1 + 0 + 7 + 3 + 551 + 78 + 24 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 93593776761 + 13761401481 = 305931^2 + 117309^2 .

It is not an unprimeable number, because it can be changed into a prime (107355178243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7903263 + ... + 7916834.

Almost surely, 2107355178242 is an apocalyptic number.

107355178242 is an abundant number, since it is smaller than the sum of its proper divisors (151778026998).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

107355178242 is a wasteful number, since it uses less digits than its factorization.

107355178242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15820147 (or 15820144 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 107355178242 in words is "one hundred seven billion, three hundred fifty-five million, one hundred seventy-eight thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 29 39 58 78 87 117 174 234 261 377 522 754 1131 2262 3393 6786 15820097 31640194 47460291 94920582 142380873 205661261 284761746 411322522 458782813 616983783 917565626 1233967566 1376348439 1850951349 2752696878 3701902698 4129045317 5964176569 8258090634 11928353138 17892529707 35785059414 53677589121 107355178242