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103364364312 = 233211130510561
BaseRepresentation
bin110000001000011111…
…1110000100000011000
3100212210122021202110100
41200100333300200120
53143142234124222
6115252425015400
710316315412546
oct1402077604030
9325718252410
10103364364312
113a922541880
1218048624560
139993839361
145007bd2d96
152a4e7a34ac
hex1810ff0818

103364364312 has 48 divisors (see below), whose sum is σ = 305394715080. Its totient is φ = 31322534400.

The previous prime is 103364364289. The next prime is 103364364343. The reversal of 103364364312 is 213463463301.

103364364312 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 6 + 4 + 3 + 643 + 1 + 2 = 666.

103364364312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65254489 + ... + 65256072.

Almost surely, 2103364364312 is an apocalyptic number.

103364364312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103364364312 is an abundant number, since it is smaller than the sum of its proper divisors (202030350768).

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

103364364312 is a wasteful number, since it uses less digits than its factorization.

103364364312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130510584 (or 130510577 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The spelling of 103364364312 in words is "one hundred three billion, three hundred sixty-four million, three hundred sixty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 130510561 261021122 391531683 522042244 783063366 1044084488 1174595049 1435616171 1566126732 2349190098 2871232342 3132253464 4306848513 4698380196 5742464684 8613697026 9396760392 11484929368 12920545539 17227394052 25841091078 34454788104 51682182156 103364364312