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103016612205 = 32513176096773
BaseRepresentation
bin101111111110001000…
…1001100000101101101
3100211220101221010020200
41133330101030011231
53141434223042310
6115154123304113
710304563520163
oct1377421140555
9324811833220
10103016612205
113a764212541
1217b7007b039
13993978c390
144db394d233
152a2deb09c0
hex17fc44c16d

103016612205 has 24 divisors (see below), whose sum is σ = 192297677208. Its totient is φ = 50715870336.

The previous prime is 103016612161. The next prime is 103016612207. The reversal of 103016612205 is 502216610301.

103016612205 is a `hidden beast` number, since 1 + 0 + 30 + 16 + 612 + 2 + 0 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6898631364 + 96117980841 = 83058^2 + 310029^2 .

It is not a de Polignac number, because 103016612205 - 211 = 103016610157 is a prime.

It is a super-2 number, since 2×1030166122052 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103016612207) 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, 88047802 + ... + 88048971.

It is an arithmetic number, because the mean of its divisors is an integer number (8012403217).

Almost surely, 2103016612205 is an apocalyptic number.

103016612205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

103016612205 is a deficient number, since it is larger than the sum of its proper divisors (89281065003).

103016612205 is a wasteful number, since it uses less digits than its factorization.

103016612205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176096797 (or 176096794 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 103016612205 in words is "one hundred three billion, sixteen million, six hundred twelve thousand, two hundred five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 176096773 528290319 880483865 1584870957 2289258049 2641451595 6867774147 7924354785 11446290245 20603322441 34338870735 103016612205