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103066512336 = 2432739804653
BaseRepresentation
bin101111111111100111…
…1100010101111010000
3100212000212211022100200
41133333033202233100
53142040011343321
6115203105015200
710306040620464
oct1377717425720
9325025738320
10103066512336
113a78a3a5217
1217b84924500
139946c11198
144dba41c4a4
152a3356ad26
hex17ff3e2bd0

103066512336 has 60 divisors (see below), whose sum is σ = 292394391588. Its totient is φ = 33884877312.

The previous prime is 103066512271. The next prime is 103066512337. The reversal of 103066512336 is 633215660301.

103066512336 is a `hidden beast` number, since 1 + 0 + 306 + 6 + 5 + 12 + 336 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 55037160000 + 48029352336 = 234600^2 + 219156^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 103066512336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103066512337) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4891815 + ... + 4912838.

Almost surely, 2103066512336 is an apocalyptic number.

103066512336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

103066512336 is an abundant number, since it is smaller than the sum of its proper divisors (189327879252).

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

103066512336 is a wasteful number, since it uses less digits than its factorization.

103066512336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9804740 (or 9804731 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The spelling of 103066512336 in words is "one hundred three billion, sixty-six million, five hundred twelve thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 73 144 146 219 292 438 584 657 876 1168 1314 1752 2628 3504 5256 10512 9804653 19609306 29413959 39218612 58827918 78437224 88241877 117655836 156874448 176483754 235311672 352967508 470623344 705935016 715739669 1411870032 1431479338 2147219007 2862958676 4294438014 5725917352 6441657021 8588876028 11451834704 12883314042 17177752056 25766628084 34355504112 51533256168 103066512336