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155312320113 = 32433180122129
BaseRepresentation
bin1001000010100101010…
…1011110111001110001
3112211212222112100002100
42100221111132321301
510021034423220423
6155203254011013
714135532636666
oct2205125367161
9484788470070
10155312320113
115a95a834955
1226125946a69
1311852030742
147735111a6d
15409017a343
hex242955ee71

155312320113 has 24 divisors (see below), whose sum is σ = 224993142920. Its totient is φ = 103240396800.

The previous prime is 155312320081. The next prime is 155312320153. The reversal of 155312320113 is 311023213551.

155312320113 is a `hidden beast` number, since 15 + 5 + 312 + 320 + 1 + 13 = 666.

155312320113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9810506304 + 145501813809 = 99048^2 + 381447^2 .

It is not a de Polignac number, because 155312320113 - 25 = 155312320081 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (155312320153) 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 23 ways as a sum of consecutive naturals, for example, 7007433 + ... + 7029561.

Almost surely, 2155312320113 is an apocalyptic number.

It is an amenable number.

155312320113 is a deficient number, since it is larger than the sum of its proper divisors (69680822807).

155312320113 is a wasteful number, since it uses less digits than its factorization.

155312320113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24369 (or 24366 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

Adding to 155312320113 its reverse (311023213551), we get a palindrome (466335533664).

The spelling of 155312320113 in words is "one hundred fifty-five billion, three hundred twelve million, three hundred twenty thousand, one hundred thirteen".

Divisors: 1 3 9 433 1299 1801 3897 5403 16209 22129 66387 199161 779833 2339499 7018497 9581857 28745571 39854329 86236713 119562987 358688961 17256924457 51770773371 155312320113