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223131320113 = 1367325503637
BaseRepresentation
bin1100111111001110101…
…0011011111100110001
3210022221101221111102011
43033303222123330301
512123433104220423
6250301034322521
722056254633032
oct3176352337461
9708841844364
10223131320113
11866a18a4389
12372b2289441
131806c669940
14ab2a1d4a89
155c0e073b0d
hex33f3a9bf31

223131320113 has 8 divisors (see below), whose sum is σ = 240652328168. Its totient is φ = 205661320704.

The previous prime is 223131320099. The next prime is 223131320117. The reversal of 223131320113 is 311023131322.

It can be written as a sum of positive squares in 4 ways, for example, as 47747931169 + 175383388944 = 218513^2 + 418788^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-223131320113 is a prime.

It is a super-3 number, since 3×2231313201133 (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (223131320117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12743070 + ... + 12760567.

It is an arithmetic number, because the mean of its divisors is an integer number (30081541021).

Almost surely, 2223131320113 is an apocalyptic number.

It is an amenable number.

223131320113 is a deficient number, since it is larger than the sum of its proper divisors (17521008055).

223131320113 is a wasteful number, since it uses less digits than its factorization.

223131320113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25504323.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 223131320113 its reverse (311023131322), we get a palindrome (534154451435).

The spelling of 223131320113 in words is "two hundred twenty-three billion, one hundred thirty-one million, three hundred twenty thousand, one hundred thirteen".

Divisors: 1 13 673 8749 25503637 331547281 17163947701 223131320113