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112132211213232 = 24327976471772531
BaseRepresentation
bin11001011111101111010000…
…100111100000001110110000
3112201000201211121010011000100
4121133233100213200032300
5104144133232032310412
61034252454321552400
732422166504013030
oct3137572047401660
9481021747104010
10112132211213232
1132802004a49361
12106abb827a5700
134a75039866842
141d993298158c0
15ce6c39737edc
hex65fbd09e03b0

112132211213232 has 240 divisors, whose sum is σ = 362902699740672. Its totient is φ = 31658463498240.

The previous prime is 112132211213221. The next prime is 112132211213233. The reversal of 112132211213232 is 232312112231211.

112132211213232 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 3 + 2 + 211 + 213 + 232 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 112132211213196 and 112132211213205.

It is not an unprimeable number, because it can be changed into a prime (112132211213233) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62374807 + ... + 64147337.

Almost surely, 2112132211213232 is an apocalyptic number.

112132211213232 is a gapful number since it is divisible by the number (12) 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 112132211213232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181451349870336).

112132211213232 is an abundant number, since it is smaller than the sum of its proper divisors (250770488527440).

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

112132211213232 is a wasteful number, since it uses less digits than its factorization.

112132211213232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1773296 (or 1773287 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

Adding to 112132211213232 its reverse (232312112231211), we get a palindrome (344444323444443).

The spelling of 112132211213232 in words is "one hundred twelve trillion, one hundred thirty-two billion, two hundred eleven million, two hundred thirteen thousand, two hundred thirty-two".