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113131201221 = 3237339733337
BaseRepresentation
bin110100101011100100…
…1010010001011000101
3101211000022022110221200
41221113021102023011
53323143041414341
6123545522133113
711113332225663
oct1512711221305
9354008273850
10113131201221
1143a84682a15
1219b134b1199
13a88c12a8ac
145692dbdc33
152e21e55db6
hex1a572522c5

113131201221 has 12 divisors (see below), whose sum is σ = 167828268972. Its totient is φ = 73382400576.

The previous prime is 113131201219. The next prime is 113131201279. The reversal of 113131201221 is 122102131311.

113131201221 is a `hidden beast` number, since 1 + 131 + 312 + 0 + 1 + 221 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 99533309121 + 13597892100 = 315489^2 + 116610^2 .

It is not a de Polignac number, because 113131201221 - 21 = 113131201219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 113131201194 and 113131201203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113131201021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 169866336 + ... + 169867001.

It is an arithmetic number, because the mean of its divisors is an integer number (13985689081).

Almost surely, 2113131201221 is an apocalyptic number.

It is an amenable number.

113131201221 is a deficient number, since it is larger than the sum of its proper divisors (54697067751).

113131201221 is a wasteful number, since it uses less digits than its factorization.

113131201221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339733380 (or 339733377 counting only the distinct ones).

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

Adding to 113131201221 its reverse (122102131311), we get a palindrome (235233332532).

The spelling of 113131201221 in words is "one hundred thirteen billion, one hundred thirty-one million, two hundred one thousand, two hundred twenty-one".

Divisors: 1 3 9 37 111 333 339733337 1019200011 3057600033 12570133469 37710400407 113131201221