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103364066052 = 223213983224683
BaseRepresentation
bin110000001000011111…
…0100111101100000100
3100212210121201121022200
41200100332213230010
53143142200103202
6115252414354500
710316313031152
oct1402076475404
9325717647280
10103364066052
113a922358785
12180484bba30
139993763680
145007b563d2
152a4e744e1c
hex1810fa7b04

103364066052 has 72 divisors (see below), whose sum is σ = 281667457344. Its totient is φ = 31771832256.

The previous prime is 103364066017. The next prime is 103364066093. The reversal of 103364066052 is 250660463301.

103364066052 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 6 + 40 + 6 + 605 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 103364065998 and 103364066016.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 347703 + ... + 572385.

Almost surely, 2103364066052 is an apocalyptic number.

103364066052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103364066052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140833728672).

103364066052 is an abundant number, since it is smaller than the sum of its proper divisors (178303391292).

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

103364066052 is a wasteful number, since it uses less digits than its factorization.

103364066052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225689 (or 225684 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 103364066052 in words is "one hundred three billion, three hundred sixty-four million, sixty-six thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 983 1966 2949 3932 5898 8847 11796 12779 17694 25558 35388 38337 51116 76674 115011 153348 224683 230022 449366 460044 674049 898732 1348098 2022147 2696196 2920879 4044294 5841758 8088588 8762637 11683516 17525274 26287911 35050548 52575822 105151644 220863389 441726778 662590167 883453556 1325180334 1987770501 2650360668 2871224057 3975541002 5742448114 7951082004 8613672171 11484896228 17227344342 25841016513 34454688684 51682033026 103364066052