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223301013313 = 7235597128021
BaseRepresentation
bin1100111111110111000…
…1110000111101000001
3210100101020020210201111
43033331301300331001
512124310024411223
6250325535403321
722063415203300
oct3177561607501
9710336223644
10223301013313
11867796673a4
123733b083541
1318098872411
14ab44968437
155c1dde330d
hex33fdc70f41

223301013313 has 12 divisors (see below), whose sum is σ = 259767647892. Its totient is φ = 191393996640.

The previous prime is 223301013263. The next prime is 223301013319. The reversal of 223301013313 is 313310103322.

It can be written as a sum of positive squares in 2 ways, for example, as 20811813169 + 202489200144 = 144263^2 + 449988^2 .

It is not a de Polignac number, because 223301013313 - 213 = 223301005121 is a prime.

It is a super-2 number, since 2×2233010133132 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (223301013319) 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, 1680243 + ... + 1808263.

It is an arithmetic number, because the mean of its divisors is an integer number (21647303991).

Almost surely, 2223301013313 is an apocalyptic number.

It is an amenable number.

223301013313 is a deficient number, since it is larger than the sum of its proper divisors (36466634579).

223301013313 is a wasteful number, since it uses less digits than its factorization.

223301013313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163632 (or 163625 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 223301013313 its reverse (313310103322), we get a palindrome (536611116635).

Subtracting 223301013313 from its reverse (313310103322), we obtain a palindrome (90009090009).

The spelling of 223301013313 in words is "two hundred twenty-three billion, three hundred one million, thirteen thousand, three hundred thirteen".

Divisors: 1 7 49 35597 128021 249179 896147 1744253 6273029 4557163537 31900144759 223301013313