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22122203313 = 3722967731061
BaseRepresentation
bin10100100110100101…
…100000100010110001
32010002201211100220110
4110212211200202301
5330301241001223
614055055331533
71412131424400
oct244645404261
963081740813
1022122203313
119422452861
124354820ba9
13211726aa42
1410dc0b1637
1589721bd93
hex5269608b1

22122203313 has 96 divisors (see below), whose sum is σ = 36552850560. Its totient is φ = 11847306240.

The previous prime is 22122203303. The next prime is 22122203333. The reversal of 22122203313 is 31330222122.

It is a happy number.

It is not a de Polignac number, because 22122203313 - 24 = 22122203297 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 22122203313.

It is not an unprimeable number, because it can be changed into a prime (22122203303) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20849803 + ... + 20850863.

It is an arithmetic number, because the mean of its divisors is an integer number (380758860).

Almost surely, 222122203313 is an apocalyptic number.

It is an amenable number.

22122203313 is a deficient number, since it is larger than the sum of its proper divisors (14430647247).

22122203313 is a wasteful number, since it uses less digits than its factorization.

22122203313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1247 (or 1240 counting only the distinct ones).

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

Adding to 22122203313 its reverse (31330222122), we get a palindrome (53452425435).

The spelling of 22122203313 in words is "twenty-two billion, one hundred twenty-two million, two hundred three thousand, three hundred thirteen".

Divisors: 1 3 7 21 29 49 67 73 87 147 201 203 219 469 511 609 1061 1407 1421 1533 1943 2117 3183 3283 3577 4263 4891 5829 6351 7427 9849 10731 13601 14673 14819 22281 30769 34237 40803 44457 51989 71087 77453 92307 95207 102711 103733 141839 155967 213261 215383 232359 239659 285621 311199 425517 497609 542171 646149 718977 992873 1492827 1507681 1626513 2061523 2246137 2978619 3483263 3795197 4523043 5189351 6184569 6738411 6950111 10449789 11385591 14430661 15568053 15722959 20850333 36325457 43291983 47168877 101014627 108976371 110060713 150491179 254278199 303043881 330182139 451473537 762834597 1053438253 3160314759 7374067771 22122203313