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21010131202221 = 3278111117368141
BaseRepresentation
bin1001100011011110011010…
…11010000011000010101101
32202101112211011112022212200
410301233031122003002231
510223212222041432341
6112403530535252113
74265634431411430
oct461571532030255
982345734468780
1021010131202221
11677038a370127
122433aa251a039
13b953294b6795
14528c7801b817
152667c5c74db6
hex131bcd6830ad

21010131202221 has 48 divisors (see below), whose sum is σ = 34757340578688. Its totient is φ = 11980218038400.

The previous prime is 21010131202201. The next prime is 21010131202241. The reversal of 21010131202221 is 12220213101012.

21010131202221 is a `hidden beast` number, since 210 + 1 + 0 + 1 + 31 + 202 + 221 = 666.

It is an interprime number because it is at equal distance from previous prime (21010131202201) and next prime (21010131202241).

It is not a de Polignac number, because 21010131202221 - 230 = 21009057460397 is a prime.

It is a super-2 number, since 2×210101312022212 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21010131202194 and 21010131202203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21010131202201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56886811 + ... + 57254951.

It is an arithmetic number, because the mean of its divisors is an integer number (724111262056).

Almost surely, 221010131202221 is an apocalyptic number.

21010131202221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21010131202221 is a deficient number, since it is larger than the sum of its proper divisors (13747209376467).

21010131202221 is a wasteful number, since it uses less digits than its factorization.

21010131202221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370082 (or 370079 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 21010131202221 its reverse (12220213101012), we get a palindrome (33230344303233).

The spelling of 21010131202221 in words is "twenty-one trillion, ten billion, one hundred thirty-one million, two hundred two thousand, two hundred twenty-one".

Divisors: 1 3 7 9 21 63 811 1117 2433 3351 5677 7299 7819 10053 17031 23457 51093 70371 368141 905887 1104423 2576987 2717661 3313269 6341209 7730961 8152983 19023627 23192883 57070881 298562351 411213497 895687053 1233640491 2089936457 2687061159 2878494479 3700921473 6269809371 8635483437 18809428113 25906450311 333494146067 1000482438201 2334459022469 3001447314603 7003377067407 21010131202221