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213220101022312 = 23179863801721521
BaseRepresentation
bin110000011110110000101100…
…011000010110001001101000
31000221221122100110001000011011
4300132300230120112021220
5210421344231330203222
62033251543454513304
762624433605030626
oct6036605430261150
91027848313030134
10213220101022312
1161a3615643287a
121bab7598505834
1391c8752851cb7
143a91c9d5cc516
15199b52671dc77
hexc1ec2c616268

213220101022312 has 64 divisors (see below), whose sum is σ = 402555890188800. Its totient is φ = 105873491374080.

The previous prime is 213220101022307. The next prime is 213220101022333.

213220101022312 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2132201010223122 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9907526112 + ... + 9907547632.

It is an arithmetic number, because the mean of its divisors is an integer number (6289935784200).

Almost surely, 2213220101022312 is an apocalyptic number.

It is an amenable number.

213220101022312 is a deficient number, since it is larger than the sum of its proper divisors (189335789166488).

213220101022312 is a wasteful number, since it uses less digits than its factorization.

213220101022312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30586 (or 30582 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

It can be divided in two parts, 21322010 and 1022312, that added together give a palindrome (22344322).

The spelling of 213220101022312 in words is "two hundred thirteen trillion, two hundred twenty billion, one hundred one million, twenty-two thousand, three hundred twelve".

Divisors: 1 2 4 8 179 358 716 863 1432 1726 3452 6904 8017 16034 21521 32068 43042 64136 86084 154477 172168 308954 617908 1235816 1435043 2870086 3852259 5740172 6918671 7704518 11480344 13837342 15409036 18572623 27674684 30818072 37145246 55349368 74290492 148580984 172533857 345067714 690135428 1238442109 1380270856 2476884218 3324499517 4953768436 6648999034 9907536872 13297998068 26595996136 30883560403 61767120806 123534241612 148896718591 247068483224 297793437182 595586874364 1191173748728 26652512627789 53305025255578 106610050511156 213220101022312