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10203520113 = 329713785313
BaseRepresentation
bin10011000000010110…
…10101110001110001
3222100002201112020100
421200023111301301
5131344100120423
64404252503013
7510565330023
oct114013256161
928302645210
1010203520113
114366691756
121b8917aa69
13c67c07a87
146cb1c0013
153eabb0343
hex2602d5c71

10203520113 has 24 divisors (see below), whose sum is σ = 14999224968. Its totient is φ = 6683000832.

The previous prime is 10203520099. The next prime is 10203520123. The reversal of 10203520113 is 31102530201.

10203520113 is a `hidden beast` number, since 10 + 20 + 3 + 520 + 113 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5044976784 + 5158543329 = 71028^2 + 71823^2 .

It is not a de Polignac number, because 10203520113 - 24 = 10203520097 is a prime.

It is a super-2 number, since 2×102035201132 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10203520123) 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, 76945 + ... + 162257.

It is an arithmetic number, because the mean of its divisors is an integer number (624967707).

Almost surely, 210203520113 is an apocalyptic number.

It is an amenable number.

10203520113 is a deficient number, since it is larger than the sum of its proper divisors (4795704855).

10203520113 is a wasteful number, since it uses less digits than its factorization.

10203520113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85553 (or 85550 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The spelling of 10203520113 in words is "ten billion, two hundred three million, five hundred twenty thousand, one hundred thirteen".

Divisors: 1 3 9 97 137 291 411 873 1233 13289 39867 85313 119601 255939 767817 8275361 11687881 24826083 35063643 74478249 105190929 1133724457 3401173371 10203520113