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113002222032 = 243277189113157
BaseRepresentation
bin110100100111101110…
…1010001000111010000
3101210200022121122202200
41221033131101013100
53322412032101112
6123525033443200
711110205016240
oct1511735210720
9353608548680
10113002222032
1143a18898a47
1219a98270500
13a86b4ab94b
14567dc07b20
152e15979cdc
hex1a4f7511d0

113002222032 has 480 divisors, whose sum is σ = 376298058240. Its totient is φ = 30996725760.

The previous prime is 113002221989. The next prime is 113002222097. The reversal of 113002222032 is 230222200311.

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 = 113002221996 and 113002222014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 719759298 + ... + 719759454.

It is an arithmetic number, because the mean of its divisors is an integer number (783954288).

Almost surely, 2113002222032 is an apocalyptic number.

113002222032 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 113002222032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188149029120).

113002222032 is an abundant number, since it is smaller than the sum of its proper divisors (263295836208).

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

113002222032 is a wasteful number, since it uses less digits than its factorization.

113002222032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 442 counting only the distinct ones).

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

Adding to 113002222032 its reverse (230222200311), we get a palindrome (343224422343).

The spelling of 113002222032 in words is "one hundred thirteen billion, two million, two hundred twenty-two thousand, thirty-two".