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103410236241 = 32132173999313
BaseRepresentation
bin110000001001110111…
…0101111101101010001
3100212220211121021220200
41200103232233231101
53143241010024431
6115301144125413
710320413335134
oct1402356575521
9325824537820
10103410236241
113a946423064
121805ba66869
1399a01aa800
14500dd3421b
152a53814ee6
hex1813bafb51

103410236241 has 36 divisors (see below), whose sum is σ = 171258624108. Its totient is φ = 59893696512.

The previous prime is 103410236239. The next prime is 103410236257. The reversal of 103410236241 is 142632014301.

It is a happy number.

103410236241 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 10 + 23 + 624 + 1 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 10996668225 + 92413568016 = 104865^2 + 303996^2 .

It is not a de Polignac number, because 103410236241 - 21 = 103410236239 is a prime.

It is not an unprimeable number, because it can be changed into a prime (103410236141) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1973800 + ... + 2025513.

It is an arithmetic number, because the mean of its divisors is an integer number (4757184003).

Almost surely, 2103410236241 is an apocalyptic number.

It is an amenable number.

103410236241 is a deficient number, since it is larger than the sum of its proper divisors (67848387867).

103410236241 is a wasteful number, since it uses less digits than its factorization.

103410236241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3999362 (or 3999346 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 103410236241 in words is "one hundred three billion, four hundred ten million, two hundred thirty-six thousand, two hundred forty-one".

Divisors: 1 3 9 13 17 39 51 117 153 169 221 507 663 1521 1989 2873 8619 25857 3999313 11997939 35993817 51991069 67988321 155973207 203964963 467919621 611894889 675883897 883848173 2027651691 2651544519 6082955073 7954633557 11490026249 34470078747 103410236241