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113221301011020 = 22325173761122913339
BaseRepresentation
bin11001101111100101100011…
…011011011000001001001100
3112211212211222010201012220200
4121233211203123120021030
5104320004211024323040
61040445051520013500
732563653246365616
oct3157454333301114
9484784863635820
10113221301011020
113309197a824a04
1210847068761290
134b239521c8357
141dd5d23d05db6
15d1522c486630
hex66f9636d824c

113221301011020 has 576 divisors, whose sum is σ = 379928064297600. Its totient is φ = 27170901688320.

The previous prime is 113221301011019. The next prime is 113221301011151. The reversal of 113221301011020 is 20110103122311.

113221301011020 is a `hidden beast` number, since 1 + 13 + 221 + 301 + 0 + 110 + 20 = 666.

It is a super-2 number, since 2×1132213010110202 (a number of 29 digits) contains 22 as substring.

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 = 113221301010984 and 113221301011002.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8487983511 + ... + 8487996849.

It is an arithmetic number, because the mean of its divisors is an integer number (659597333850).

Almost surely, 2113221301011020 is an apocalyptic number.

113221301011020 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 113221301011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189964032148800).

113221301011020 is an abundant number, since it is smaller than the sum of its proper divisors (266706763286580).

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

113221301011020 is a wasteful number, since it uses less digits than its factorization.

113221301011020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14698 (or 14693 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 113221301011020 its reverse (20110103122311), we get a palindrome (133331404133331).

The spelling of 113221301011020 in words is "one hundred thirteen trillion, two hundred twenty-one billion, three hundred one million, eleven thousand, twenty".