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113022201032001 = 3241306293227729
BaseRepresentation
bin11001101100101100001000…
…001001001110110101000001
3112211011211001111222100002200
4121230230020021032311001
5104303223431431011001
61040213403220303413
732543404334445522
oct3154541011166501
9484154044870080
10113022201032001
113301549aaaa8a8
1210814562541b69
134b0ac424ac291
141dca437588849
15d0ee78045086
hex66cb0824ed41

113022201032001 has 12 divisors (see below), whose sum is σ = 167236102340580. Its totient is φ = 73510374654720.

The previous prime is 113022201031973. The next prime is 113022201032063. The reversal of 113022201032001 is 100230102220311.

113022201032001 is a `hidden beast` number, since 11 + 302 + 2 + 20 + 10 + 320 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 54412826015025 + 58609375016976 = 7376505^2 + 7655676^2 .

It is not a de Polignac number, because 113022201032001 - 230 = 113021127290177 is a prime.

It is a super-2 number, since 2×1130222010320012 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (113022201032501) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153146613496 + ... + 153146614233.

It is an arithmetic number, because the mean of its divisors is an integer number (13936341861715).

Almost surely, 2113022201032001 is an apocalyptic number.

It is an amenable number.

113022201032001 is a deficient number, since it is larger than the sum of its proper divisors (54213901308579).

113022201032001 is a wasteful number, since it uses less digits than its factorization.

113022201032001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306293227776 (or 306293227773 counting only the distinct ones).

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

Adding to 113022201032001 its reverse (100230102220311), we get a palindrome (213252303252312).

The spelling of 113022201032001 in words is "one hundred thirteen trillion, twenty-two billion, two hundred one million, thirty-two thousand, one".

Divisors: 1 3 9 41 123 369 306293227729 918879683187 2756639049561 12558022336889 37674067010667 113022201032001