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21200232313 = 1317236596329
BaseRepresentation
bin10011101111101000…
…011101111101111001
32000201110222101110101
4103233220131331321
5321404224413223
613423402315401
71350235000321
oct235750357571
960643871411
1021200232313
118a99a84357
124137ab8b61
131ccb250a80
141051876281
158413004ad
hex4efa1df79

21200232313 has 32 divisors (see below), whose sum is σ = 25267334400. Its totient is φ = 17587992576.

The previous prime is 21200232307. The next prime is 21200232349. The reversal of 21200232313 is 31323200212.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-21200232313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21200232013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3346533 + ... + 3352861.

It is an arithmetic number, because the mean of its divisors is an integer number (789604200).

Almost surely, 221200232313 is an apocalyptic number.

21200232313 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

21200232313 is a deficient number, since it is larger than the sum of its proper divisors (4067102087).

21200232313 is a wasteful number, since it uses less digits than its factorization.

21200232313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7041.

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 21200232313 its reverse (31323200212), we get a palindrome (52523432525).

The spelling of 21200232313 in words is "twenty-one billion, two hundred million, two hundred thirty-two thousand, three hundred thirteen".

Divisors: 1 13 17 23 221 299 391 659 5083 6329 8567 11203 15157 82277 107593 145567 145639 197041 257669 1398709 1892371 2474639 3349697 4170811 32170307 54220543 70903787 95928653 921749231 1247072489 1630787101 21200232313