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112202332020 = 2232537473471033
BaseRepresentation
bin110100001111111000…
…1111011011101110100
3101201121120111000221200
41220133301323131310
53314242244111040
6123313421212500
711051323041342
oct1503761733564
9351546430850
10112202332020
1143648322819
12198b4401130
13a771866b4c
1456058aa992
152dba625630
hex1a1fc7b774

112202332020 has 288 divisors, whose sum is σ = 358358128128. Its totient is φ = 28382939136.

The previous prime is 112202332001. The next prime is 112202332153. The reversal of 112202332020 is 20233202211.

112202332020 is a `hidden beast` number, since 11 + 220 + 233 + 202 + 0 = 666.

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 = 112202331984 and 112202332002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 108617424 + ... + 108618456.

It is an arithmetic number, because the mean of its divisors is an integer number (1244299056).

Almost surely, 2112202332020 is an apocalyptic number.

112202332020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112202332020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179179064064).

112202332020 is an abundant number, since it is smaller than the sum of its proper divisors (246155796108).

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

112202332020 is a wasteful number, since it uses less digits than its factorization.

112202332020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1479 (or 1474 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 112202332020 its reverse (20233202211), we get a palindrome (132435534231).

The spelling of 112202332020 in words is "one hundred twelve billion, two hundred two million, three hundred thirty-two thousand, twenty".