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113031212002200 = 2332525310061117763
BaseRepresentation
bin11001101100110100100001…
…001111010110101110011000
3112211012200022111201001101200
4121230310201033112232120
5104303400410233032300
61040221453312514200
732544143542436622
oct3154644117265630
9484180274631350
10113031212002200
11330192a4504108
121081625824b960
134b0ba4a3008cb
141dcaa50217c12
15d1030418c200
hex66cd213d6b98

113031212002200 has 288 divisors, whose sum is σ = 386800410756240. Its totient is φ = 29569755571200.

The previous prime is 113031212002141. The next prime is 113031212002207. The reversal of 113031212002200 is 2200212130311.

113031212002200 is a `hidden beast` number, since 1 + 1 + 30 + 312 + 120 + 0 + 2 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113031212002207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 959760519 + ... + 959878281.

Almost surely, 2113031212002200 is an apocalyptic number.

113031212002200 is a gapful number since it is divisible by the number (10) 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 113031212002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193400205378120).

113031212002200 is an abundant number, since it is smaller than the sum of its proper divisors (273769198754040).

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

113031212002200 is a wasteful number, since it uses less digits than its factorization.

113031212002200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127899 (or 127887 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 113031212002200 its reverse (2200212130311), we get a palindrome (115231424132511).

The spelling of 113031212002200 in words is "one hundred thirteen trillion, thirty-one billion, two hundred twelve million, two thousand, two hundred".