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220113201132000 = 253253113715022741
BaseRepresentation
bin110010000011000100011001…
…001010011111000111100000
31001212100121122102222220011200
4302003010121022133013200
5212322313313442211000
62100050335244441200
764235440214153301
oct6203043112370740
91055317572886150
10220113201132000
1164153536777330
122082b4b5849200
1395a8780016657
143c4d7702667a8
151a6a9b2091500
hexc8311929f1e0

220113201132000 has 576 divisors, whose sum is σ = 875230717652928. Its totient is φ = 51918589440000.

The previous prime is 220113201131983. The next prime is 220113201132007. The reversal of 220113201132000 is 231102311022.

220113201132000 is a `hidden beast` number, since 2 + 2 + 0 + 11 + 320 + 11 + 320 + 0 + 0 = 666.

It is a super-3 number, since 3×2201132011320003 (a number of 44 digits) contains 333 as substring.

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 (220113201132007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7140630 + ... + 22163370.

It is an arithmetic number, because the mean of its divisors is an integer number (1519497773703).

Almost surely, 2220113201132000 is an apocalyptic number.

220113201132000 is a gapful number since it is divisible by the number (20) 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 220113201132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437615358826464).

220113201132000 is an abundant number, since it is smaller than the sum of its proper divisors (655117516520928).

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

220113201132000 is a wasteful number, since it uses less digits than its factorization.

220113201132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15022820 (or 15022799 counting only the distinct ones).

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

Adding to 220113201132000 its reverse (231102311022), we get a palindrome (220344303443022).

The spelling of 220113201132000 in words is "two hundred twenty trillion, one hundred thirteen billion, two hundred one million, one hundred thirty-two thousand".