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112002345312 = 253111310180779
BaseRepresentation
bin110100001001111011…
…1000010100101100000
3101201002122011122202120
41220103313002211200
53313340100022222
6123241514544240
711043344140614
oct1502367024540
9351078148676
10112002345312
1143555449850
1219859438080
13a73c2b5910
1455c70cd344
152da7cc015c
hex1a13dc2960

112002345312 has 192 divisors, whose sum is σ = 348830012160. Its totient is φ = 31018752000.

The previous prime is 112002345283. The next prime is 112002345397. The reversal of 112002345312 is 213543200211.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1346139 + ... + 1426917.

It is an arithmetic number, because the mean of its divisors is an integer number (1816822980).

Almost surely, 2112002345312 is an apocalyptic number.

112002345312 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 112002345312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174415006080).

112002345312 is an abundant number, since it is smaller than the sum of its proper divisors (236827666848).

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

112002345312 is a wasteful number, since it uses less digits than its factorization.

112002345312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80917 (or 80909 counting only the distinct ones).

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

Adding to 112002345312 its reverse (213543200211), we get a palindrome (325545545523).

The spelling of 112002345312 in words is "one hundred twelve billion, two million, three hundred forty-five thousand, three hundred twelve".