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153198117 = 3235348221
BaseRepresentation
bin10010010000110…
…01111000100101
3101200021021022100
421020121320211
5303204314432
623111322313
73540106512
oct1110317045
9350237270
10153198117
1179527016
1243380399
132597b797
14164bc309
15d6b207c
hex9219e25

153198117 has 12 divisors (see below), whose sum is σ = 221917644. Its totient is φ = 101840640.

The previous prime is 153198077. The next prime is 153198119. The reversal of 153198117 is 711891351.

153198117 is a `hidden beast` number, since 1 + 531 + 9 + 8 + 117 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 28451556 + 124746561 = 5334^2 + 11169^2 .

It is not a de Polignac number, because 153198117 - 28 = 153197861 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153198119) 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, 20934 + ... + 27287.

It is an arithmetic number, because the mean of its divisors is an integer number (18493137).

Almost surely, 2153198117 is an apocalyptic number.

It is an amenable number.

153198117 is a deficient number, since it is larger than the sum of its proper divisors (68719527).

153198117 is a wasteful number, since it uses less digits than its factorization.

153198117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48580 (or 48577 counting only the distinct ones).

The product of its digits is 7560, while the sum is 36.

The square root of 153198117 is about 12377.3226911154. The cubic root of 153198117 is about 535.0788796846.

It can be divided in two parts, 15319 and 8117, that added together give a triangular number (23436 = T216).

The spelling of 153198117 in words is "one hundred fifty-three million, one hundred ninety-eight thousand, one hundred seventeen".

Divisors: 1 3 9 353 1059 3177 48221 144663 433989 17022013 51066039 153198117