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10135360116 = 2233721915223
BaseRepresentation
bin10010111000001110…
…10101001001110100
3222011100110122022000
421130013111021310
5131224123010431
64353415535300
7506110065600
oct113407251164
928140418260
1010135360116
114331168082
121b6a38a530
13c56a6190b
146c211a500
153e4be99e6
hex25c1d5274

10135360116 has 72 divisors (see below), whose sum is σ = 30566975040. Its totient is φ = 2895815664.

The previous prime is 10135360111. The next prime is 10135360141. The reversal of 10135360116 is 61106353101.

10135360116 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 53 + 601 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 10135360116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10135360111) 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, 952320 + ... + 962903.

It is an arithmetic number, because the mean of its divisors is an integer number (424541320).

Almost surely, 210135360116 is an apocalyptic number.

It is an amenable number.

10135360116 is an abundant number, since it is smaller than the sum of its proper divisors (20431614924).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10135360116 is a wasteful number, since it uses less digits than its factorization.

10135360116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1915250 (or 1915235 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The spelling of 10135360116 in words is "ten billion, one hundred thirty-five million, three hundred sixty thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 378 441 588 756 882 1323 1764 2646 5292 1915223 3830446 5745669 7660892 11491338 13406561 17237007 22982676 26813122 34474014 40219683 51711021 53626244 68948028 80439366 93845927 103422042 120659049 160878732 187691854 206844084 241318098 281537781 361977147 375383708 482636196 563075562 723954294 844613343 1126151124 1447908588 1689226686 2533840029 3378453372 5067680058 10135360116