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116100312192 = 2732100392
BaseRepresentation
bin110110000100000011…
…1100010110010000000
3102002200020012221111200
41230020013202302000
53400233134442232
6125200304341200
711250034241124
oct1541007426200
9362606187450
10116100312192
1145268665a37
121a601914800
13ac432b85a7
145895465584
15304794777c
hex1b081e2c80

116100312192 has 72 divisors (see below), whose sum is σ = 334124024715. Its totient is φ = 38696249088.

The previous prime is 116100312179. The next prime is 116100312197. The reversal of 116100312192 is 291213001611.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

116100312192 is a `hidden beast` number, since 1 + 1 + 610 + 0 + 31 + 2 + 19 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 58050156096 + 58050156096 = 240936^2 + 240936^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=240936.

It is not an unprimeable number, because it can be changed into a prime (116100312197) 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 8 ways as a sum of consecutive naturals, for example, 11559909 + ... + 11569947.

Almost surely, 2116100312192 is an apocalyptic number.

116100312192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

116100312192 is an abundant number, since it is smaller than the sum of its proper divisors (218023712523).

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

116100312192 is an frugal number, since it uses more digits than its factorization.

116100312192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20098 (or 10044 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

Multiplying 116100312192 by its product of nonzero digits (648), we get a square (75233002300416 = 86736962).

The spelling of 116100312192 in words is "one hundred sixteen billion, one hundred million, three hundred twelve thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 10039 20078 30117 40156 60234 80312 90351 120468 160624 180702 240936 321248 361404 481872 642496 722808 963744 1284992 1445616 1927488 2891232 3854976 5782464 11564928 100781521 201563042 302344563 403126084 604689126 806252168 907033689 1209378252 1612504336 1814067378 2418756504 3225008672 3628134756 4837513008 6450017344 7256269512 9675026016 12900034688 14512539024 19350052032 29025078048 38700104064 58050156096 116100312192