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113010223032 = 23337199379991
BaseRepresentation
bin110100100111111101…
…1110010011110111000
3101210200212200011002000
41221033323302132320
53322421104114112
6123525521141000
711110333021620
oct1511773623670
9353625604060
10113010223032
1143a22363243
1219a9aa8a760
13a870050675
145680ccb880
152e1650a7dc
hex1a4fef27b8

113010223032 has 256 divisors, whose sum is σ = 361881600000. Its totient is φ = 32009281920.

The previous prime is 113010223019. The next prime is 113010223037. The reversal of 113010223032 is 230322010311.

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 = 113010222996 and 113010223014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113010223037) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 114036057 + ... + 114037047.

It is an arithmetic number, because the mean of its divisors is an integer number (1413600000).

Almost surely, 2113010223032 is an apocalyptic number.

113010223032 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 113010223032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180940800000).

113010223032 is an abundant number, since it is smaller than the sum of its proper divisors (248871376968).

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

113010223032 is a wasteful number, since it uses less digits than its factorization.

113010223032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1591 (or 1581 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 113010223032 its reverse (230322010311), we get a palindrome (343332233343).

The spelling of 113010223032 in words is "one hundred thirteen billion, ten million, two hundred twenty-three thousand, thirty-two".