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210313310020 = 2251119173329033
BaseRepresentation
bin1100001111011110100…
…1100110111101000100
3202002212002121010011121
43003313221212331010
511421210201410040
6240341104043324
721123521432152
oct3036751467504
9662762533147
10210313310020
1181214420710
1234915603544
1316aa8bb7798
14a271ac03d2
15570dabec4a
hex30f7a66f44

210313310020 has 96 divisors (see below), whose sum is σ = 507477156480. Its totient is φ = 72408130560.

The previous prime is 210313310003. The next prime is 210313310083. The reversal of 210313310020 is 20013313012.

210313310020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 210313309976 and 210313310003.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7229424 + ... + 7258456.

It is an arithmetic number, because the mean of its divisors is an integer number (5286220380).

Almost surely, 2210313310020 is an apocalyptic number.

210313310020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210313310020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253738578240).

210313310020 is an abundant number, since it is smaller than the sum of its proper divisors (297163846460).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

210313310020 is a wasteful number, since it uses less digits than its factorization.

210313310020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30805 (or 30803 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 210313310020 its reverse (20013313012), we get a palindrome (230326623032).

The spelling of 210313310020 in words is "two hundred ten billion, three hundred thirteen million, three hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 380 418 836 1045 1733 2090 3466 4180 6932 8665 17330 19063 29033 32927 34660 38126 58066 65854 76252 95315 116132 131708 145165 164635 190630 290330 319363 329270 362197 381260 551627 580660 638726 658540 724394 1103254 1277452 1448788 1596815 1810985 2206508 2758135 3193630 3621970 5516270 6067897 6387260 7243940 11032540 12135794 24271588 30339485 50314189 60678970 100628378 121357940 201256756 251570945 503141890 553456079 955969591 1006283780 1106912158 1911939182 2213824316 2767280395 3823878364 4779847955 5534560790 9559695910 10515665501 11069121580 19119391820 21031331002 42062662004 52578327505 105156655010 210313310020