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103064145312 = 2531597672251
BaseRepresentation
bin101111111111100011…
…0100000110110100000
3100212000201101001102010
41133333012200312200
53142033410122222
6115202542152520
710306011531522
oct1377706406640
9325021331363
10103064145312
113a7890288a7
1217b83b82740
13994659298b
144db9da3a12
152a3324e80c
hex17ff1a0da0

103064145312 has 48 divisors (see below), whose sum is σ = 270713191392. Its totient is φ = 34333152000.

The previous prime is 103064145307. The next prime is 103064145313. The reversal of 103064145312 is 213541460301.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 103064145312.

It is not an unprimeable number, because it can be changed into a prime (103064145313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 182814 + ... + 489437.

It is an arithmetic number, because the mean of its divisors is an integer number (5639858154).

Almost surely, 2103064145312 is an apocalyptic number.

103064145312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103064145312 is an abundant number, since it is smaller than the sum of its proper divisors (167649046080).

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

103064145312 is a wasteful number, since it uses less digits than its factorization.

103064145312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673861 (or 673853 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 103064145312 in words is "one hundred three billion, sixty-four million, one hundred forty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1597 3194 4791 6388 9582 12776 19164 25552 38328 51104 76656 153312 672251 1344502 2016753 2689004 4033506 5378008 8067012 10756016 16134024 21512032 32268048 64536096 1073584847 2147169694 3220754541 4294339388 6441509082 8588678776 12883018164 17177357552 25766036328 34354715104 51532072656 103064145312