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23202221313 = 3232971916127
BaseRepresentation
bin10101100110111101…
…011100110100000001
32012220000001222002010
4111212331130310001
5340004232040223
614354200043133
71450654425045
oct254675346401
965800058063
1023202221313
11992705a317
1245b64634a9
132259c4354b
1411a16cc025
1590be57393
hex566f5cd01

23202221313 has 32 divisors (see below), whose sum is σ = 33443020800. Its totient is φ = 14264672576.

The previous prime is 23202221303. The next prime is 23202221327. The reversal of 23202221313 is 31312220232.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 23202221313 - 24 = 23202221297 is a prime.

It is a super-3 number, since 3×232022213133 (a number of 32 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 23202221313.

It is not an unprimeable number, because it can be changed into a prime (23202221303) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1430656 + ... + 1446782.

It is an arithmetic number, because the mean of its divisors is an integer number (1045094400).

Almost surely, 223202221313 is an apocalyptic number.

23202221313 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

23202221313 is a deficient number, since it is larger than the sum of its proper divisors (10240799487).

23202221313 is a wasteful number, since it uses less digits than its factorization.

23202221313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16901.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 23202221313 its reverse (31312220232), we get a palindrome (54514441545).

The spelling of 23202221313 in words is "twenty-three billion, two hundred two million, two hundred twenty-one thousand, three hundred thirteen".

Divisors: 1 3 23 29 69 87 667 719 2001 2157 16127 16537 20851 48381 49611 62553 370921 467683 479573 1112763 1403049 1438719 10756709 11595313 32270127 34785939 266692199 336264077 800076597 1008792231 7734073771 23202221313