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112235122032 = 243112101293653
BaseRepresentation
bin110100010000110111…
…1000000110101110000
3101201200212011221101120
41220201233000311300
53314324142401112
6123320552102240
711052201540135
oct1504157006560
9351625157346
10112235122032
1143664889400
1219903394980
13a7785a7a17
145609da458c
152dbd450e8c
hex1a21bc0d70

112235122032 has 240 divisors, whose sum is σ = 323443610784. Its totient is φ = 33507584000.

The previous prime is 112235122003. The next prime is 112235122093. The reversal of 112235122032 is 230221532211.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 112235121993 and 112235122011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 171875818 + ... + 171876470.

Almost surely, 2112235122032 is an apocalyptic number.

112235122032 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 112235122032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161721805392).

112235122032 is an abundant number, since it is smaller than the sum of its proper divisors (211208488752).

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

112235122032 is a wasteful number, since it uses less digits than its factorization.

112235122032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 112235122032 its reverse (230221532211), we get a palindrome (342456654243).

The spelling of 112235122032 in words is "one hundred twelve billion, two hundred thirty-five million, one hundred twenty-two thousand, thirty-two".