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10135618108 = 227111671931021
BaseRepresentation
bin10010111000010000…
…10100001000111100
3222011100221202012021
421130020110020330
5131224204234413
64353425245524
7506112222010
oct113410241074
928140852167
1010135618108
1143313239a0
121b6a4938a4
13c56b22185
146c2186540
153e4c4b18d
hex25c21423c

10135618108 has 96 divisors (see below), whose sum is σ = 22383664128. Its totient is φ = 3901132800.

The previous prime is 10135618069. The next prime is 10135618109. The reversal of 10135618108 is 80181653101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10135618109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9926638 + ... + 9927658.

It is an arithmetic number, because the mean of its divisors is an integer number (233163168).

Almost surely, 210135618108 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10135618108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11191832064).

10135618108 is an abundant number, since it is smaller than the sum of its proper divisors (12248046020).

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

10135618108 is a wasteful number, since it uses less digits than its factorization.

10135618108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1403 (or 1401 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 34.

The spelling of 10135618108 in words is "ten billion, one hundred thirty-five million, six hundred eighteen thousand, one hundred eight".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 167 193 308 334 386 668 772 1021 1169 1351 1837 2042 2123 2338 2702 3674 4084 4246 4676 5404 7147 7348 8492 11231 12859 14294 14861 22462 25718 28588 29722 32231 44924 51436 59444 64462 78617 128924 157234 170507 197053 225617 314468 341014 354541 394106 451234 682028 709082 788212 902468 1193549 1379371 1418164 1875577 2167583 2387098 2481787 2758742 3751154 4335166 4774196 4963574 5517484 7502308 8670332 9927148 13129039 15173081 26258078 30346162 32907851 52516156 60692324 65815702 131631404 230354957 361986361 460709914 723972722 921419828 1447945444 2533904527 5067809054 10135618108