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107178057153 = 3219361702969
BaseRepresentation
bin110001111010001001…
…1110101110111000001
3101020122102102102112100
41203310103311313001
53224000040312103
6121123101421013
710512654311556
oct1436423656701
9336572372470
10107178057153
11414aa245742
121893186a769
13a15098913b
14528a4caa2d
152bc44c65a3
hex18f44f5dc1

107178057153 has 12 divisors (see below), whose sum is σ = 155614890340. Its totient is φ = 71081819136.

The previous prime is 107178057113. The next prime is 107178057157. The reversal of 107178057153 is 351750871701.

107178057153 is a `hidden beast` number, since 1 + 0 + 7 + 1 + 78 + 0 + 571 + 5 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10961461809 + 96216595344 = 104697^2 + 310188^2 .

It is not a de Polignac number, because 107178057153 - 214 = 107178040769 is a prime.

It is a super-2 number, since 2×1071780571532 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 107178057099 and 107178057108.

It is not an unprimeable number, because it can be changed into a prime (107178057157) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30849748 + ... + 30853221.

Almost surely, 2107178057153 is an apocalyptic number.

It is an amenable number.

107178057153 is a deficient number, since it is larger than the sum of its proper divisors (48436833187).

107178057153 is a wasteful number, since it uses less digits than its factorization.

107178057153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61703168 (or 61703165 counting only the distinct ones).

The product of its (nonzero) digits is 205800, while the sum is 45.

The spelling of 107178057153 in words is "one hundred seven billion, one hundred seventy-eight million, fifty-seven thousand, one hundred fifty-three".

Divisors: 1 3 9 193 579 1737 61702969 185108907 555326721 11908673017 35726019051 107178057153