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21300202213323 = 3115910323173253
BaseRepresentation
bin1001101011111010101101…
…11111001000111111001011
32210102021112201022110102020
410311331112333020333023
510242440303231311243
6113145102223535523
74325613603336435
oct465752677107713
983367481273366
1021300202213323
116872401944080
12248015675a5a3
13bb67a625ba17
14538d14603655
1526e101901283
hex135f56fc8fcb

21300202213323 has 96 divisors (see below), whose sum is σ = 31926275815680. Its totient is φ = 12523710078720.

The previous prime is 21300202213319. The next prime is 21300202213369. The reversal of 21300202213323 is 32331220200312.

It is not a de Polignac number, because 21300202213323 - 22 = 21300202213319 is a prime.

It is a super-2 number, since 2×213002022133232 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21300202213293 and 21300202213302.

It is not an unprimeable number, because it can be changed into a prime (21300202213313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6547862565 + ... + 6547865817.

It is an arithmetic number, because the mean of its divisors is an integer number (332565373080).

Almost surely, 221300202213323 is an apocalyptic number.

21300202213323 is a deficient number, since it is larger than the sum of its proper divisors (10626073602357).

21300202213323 is a wasteful number, since it uses less digits than its factorization.

21300202213323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3849 (or 3746 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 21300202213323 its reverse (32331220200312), we get a palindrome (53631422413635).

The spelling of 21300202213323 in words is "twenty-one trillion, three hundred billion, two hundred two million, two hundred thirteen thousand, three hundred twenty-three".

Divisors: 1 3 11 33 59 103 177 309 317 649 951 1133 1947 3253 3399 3487 6077 9759 10461 10609 18231 18703 31827 32651 35783 56109 66847 97953 107349 116699 191927 200541 205733 335059 350097 359161 575781 617199 625931 1005177 1031201 1077483 1877793 1926409 2111197 3093603 3363053 3685649 5779227 6333591 6885241 10089159 11056947 11343211 19768481 20655723 21190499 34029633 34511077 36993583 59305443 60840859 63571497 103533231 106213703 110980749 182522577 198420127 217453291 318641109 379621847 595260381 652359873 669249449 1138865541 1168350733 2007748347 2036153543 2182621397 3505052199 6108460629 6266608477 6547864191 10940011409 18799825431 22397688973 32820034227 67193066919 68932693247 120340125499 206798079741 361020376497 645460673131 1936382019393 7100067404441 21300202213323