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112032131220 = 22325622400729
BaseRepresentation
bin110100001010110100…
…0101010100010010100
3101201011201012221100100
41220111220222202110
53313420211144340
6123244501214100
711044155255162
oct1502550524224
9351151187310
10112032131220
11435702433a9
1219867401330
13a745514309
1455cb044232
152daa705830
hex1a15a2a894

112032131220 has 36 divisors (see below), whose sum is σ = 339830798580. Its totient is φ = 29875234944.

The previous prime is 112032131209. The next prime is 112032131257. The reversal of 112032131220 is 22131230211.

112032131220 is a `hidden beast` number, since 1 + 12 + 0 + 321 + 312 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14545807236 + 97486323984 = 120606^2 + 312228^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 112032131193 and 112032131202.

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, 311200185 + ... + 311200544.

It is an arithmetic number, because the mean of its divisors is an integer number (9439744405).

Almost surely, 2112032131220 is an apocalyptic number.

112032131220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112032131220 is an abundant number, since it is smaller than the sum of its proper divisors (227798667360).

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

112032131220 is a wasteful number, since it uses less digits than its factorization.

112032131220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622400744 (or 622400739 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 112032131220 its reverse (22131230211), we get a palindrome (134163361431).

The spelling of 112032131220 in words is "one hundred twelve billion, thirty-two million, one hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 622400729 1244801458 1867202187 2489602916 3112003645 3734404374 5601606561 6224007290 7468808748 9336010935 11203213122 12448014580 18672021870 22406426244 28008032805 37344043740 56016065610 112032131220