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103354164520 = 23513799718917
BaseRepresentation
bin110000001000001100…
…0110110010100101000
3100212202221002112222021
41200100120312110220
53143132131231040
6115251422234224
710316132621545
oct1402030662450
9325687075867
10103354164520
113a9178055a2
1218045125974
1399916a7889
1450066d9bcc
152a4d93b24a
hex1810636528

103354164520 has 64 divisors (see below), whose sum is σ = 234491636880. Its totient is φ = 40996571136.

The previous prime is 103354164491. The next prime is 103354164523. The reversal of 103354164520 is 25461453301.

It can be written as a sum of positive squares in 8 ways, for example, as 84159170404 + 19194994116 = 290102^2 + 138546^2 .

It is not an unprimeable number, because it can be changed into a prime (103354164523) 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 15 ways as a sum of consecutive naturals, for example, 5454102 + ... + 5473018.

Almost surely, 2103354164520 is an apocalyptic number.

103354164520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103354164520 is an abundant number, since it is smaller than the sum of its proper divisors (131137472360).

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

103354164520 is a wasteful number, since it uses less digits than its factorization.

103354164520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20062 (or 20058 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

The spelling of 103354164520 in words is "one hundred three billion, three hundred fifty-four million, one hundred sixty-four thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 137 274 548 685 997 1096 1370 1994 2740 3988 4985 5480 7976 9970 18917 19940 37834 39880 75668 94585 136589 151336 189170 273178 378340 546356 682945 756680 1092712 1365890 2591629 2731780 5183258 5463560 10366516 12958145 18860249 20733032 25916290 37720498 51832580 75440996 94301245 103665160 150881992 188602490 377204980 754409960 2583854113 5167708226 10335416452 12919270565 20670832904 25838541130 51677082260 103354164520