Search a number
-
+
112154055012 = 22323784199741
BaseRepresentation
bin110100001110011100…
…1110001000101100100
3101201111012122022100100
41220130321301011210
53314142414230022
6123304534344100
711050165511136
oct1503471610544
9351435568310
10112154055012
114362304956a
12198a01bb030
13a764862a7c
1455dd301056
152db628b1ac
hex1a1ce71164

112154055012 has 36 divisors (see below), whose sum is σ = 291162707836. Its totient is φ = 36374287680.

The previous prime is 112154055011. The next prime is 112154055017. The reversal of 112154055012 is 210550451211.

It is a happy number.

112154055012 is a `hidden beast` number, since 1 + 1 + 2 + 154 + 0 + 5 + 501 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 90014400576 + 22139654436 = 300024^2 + 148794^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (112154055011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42098539 + ... + 42101202.

Almost surely, 2112154055012 is an apocalyptic number.

112154055012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112154055012 is an abundant number, since it is smaller than the sum of its proper divisors (179008652824).

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

112154055012 is a wasteful number, since it uses less digits than its factorization.

112154055012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84199788 (or 84199783 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 27.

The spelling of 112154055012 in words is "one hundred twelve billion, one hundred fifty-four million, fifty-five thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 84199741 168399482 252599223 336798964 505198446 757797669 1010396892 1515595338 3031190676 3115390417 6230780834 9346171251 12461561668 18692342502 28038513753 37384685004 56077027506 112154055012