Base | Representation |
---|---|
bin | 110110000100000011… |
… | …1100010110010000000 |
3 | 102002200020012221111200 |
4 | 1230020013202302000 |
5 | 3400233134442232 |
6 | 125200304341200 |
7 | 11250034241124 |
oct | 1541007426200 |
9 | 362606187450 |
10 | 116100312192 |
11 | 45268665a37 |
12 | 1a601914800 |
13 | ac432b85a7 |
14 | 5895465584 |
15 | 304794777c |
hex | 1b081e2c80 |
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".
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