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10241140126165 = 513261261197837
BaseRepresentation
bin1001010100000111001110…
…0001001111000111010101
31100021001011122220212220021
42111001303201033013111
52320242323333014130
633440414222505141
72104616666530144
oct225016341170725
940231148825807
1010241140126165
113299274684993
1211949751351b1
135939737b9a00
14275960da375b
1512b5e000e37a
hex9507384f1d5

10241140126165 has 24 divisors (see below), whose sum is σ = 13307706808488. Its totient is φ = 7562526416640.

The previous prime is 10241140126153. The next prime is 10241140126181. The reversal of 10241140126165 is 56162104114201.

It can be written as a sum of positive squares in 12 ways, for example, as 8506100576484 + 1735039549681 = 2916522^2 + 1317209^2 .

It is not a de Polignac number, because 10241140126165 - 221 = 10241138029013 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10241140126165.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51666627 + ... + 51864463.

It is an arithmetic number, because the mean of its divisors is an integer number (554487783687).

Almost surely, 210241140126165 is an apocalyptic number.

It is an amenable number.

10241140126165 is a deficient number, since it is larger than the sum of its proper divisors (3066566682323).

10241140126165 is a wasteful number, since it uses less digits than its factorization.

10241140126165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259129 (or 259116 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The spelling of 10241140126165 in words is "ten trillion, two hundred forty-one billion, one hundred forty million, one hundred twenty-six thousand, one hundred sixty-five".

Divisors: 1 5 13 65 169 845 61261 197837 306305 796393 989185 2571881 3981965 10353109 12859405 33434453 51765545 167172265 12119692457 60598462285 157556001941 787780009705 2048228025233 10241140126165