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201133320432300 = 223252972122319421
BaseRepresentation
bin101101101110111000000000…
…000111011110101010101100
3222101011011020220222011111100
4231232320000013132222230
5202330332020012313200
61551435212151323100
760236255116122534
oct5556700007365254
9871134226864440
10201133320432300
11590a61869382a3
121a684b9a080490
13882ca38316689
143794c945104c4
15183be14e05d00
hexb6ee001deaac

201133320432300 has 324 divisors, whose sum is σ = 637561300246416. Its totient is φ = 53036473651200.

The previous prime is 201133320432293. The next prime is 201133320432379. The reversal of 201133320432300 is 3234023331102.

201133320432300 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 3 + 3 + 320 + 4 + 32 + 300 = 666.

201133320432300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2011333204323002 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 10356476590 + ... + 10356496010.

It is an arithmetic number, because the mean of its divisors is an integer number (1967781790884).

Almost surely, 2201133320432300 is an apocalyptic number.

201133320432300 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 201133320432300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318780650123208).

201133320432300 is an abundant number, since it is smaller than the sum of its proper divisors (436427979814116).

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

201133320432300 is a wasteful number, since it uses less digits than its factorization.

201133320432300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20858 (or 20751 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 201133320432300 its reverse (3234023331102), we get a palindrome (204367343763402).

The spelling of 201133320432300 in words is "two hundred one trillion, one hundred thirty-three billion, three hundred twenty million, four hundred thirty-two thousand, three hundred".