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210021200012220 = 2235139123012047183
BaseRepresentation
bin101111110000001101011111…
…000001011010001110111100
31000112121211102112102111221120
4233300031133001122032330
5210011441404200342340
62022402223552230540
762144350060054662
oct5760153701321674
91015554375374846
10210021200012220
1160a12544190323
121b67b622b3b450
139025bb65bbc1c
1439c111a56cc32
15194320028c4d0
hexbf035f05a3bc

210021200012220 has 96 divisors (see below), whose sum is σ = 592338441999360. Its totient is φ = 55598187628800.

The previous prime is 210021200012209. The next prime is 210021200012251. The reversal of 210021200012220 is 22210002120012.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 210021200012220.

It is a congruent number.

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, 101566749 + ... + 103613931.

It is an arithmetic number, because the mean of its divisors is an integer number (6170192104160).

Almost surely, 2210021200012220 is an apocalyptic number.

210021200012220 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 210021200012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296169220999680).

210021200012220 is an abundant number, since it is smaller than the sum of its proper divisors (382317241987140).

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

210021200012220 is a wasteful number, since it uses less digits than its factorization.

210021200012220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2059635 (or 2059633 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 210021200012220 its reverse (22210002120012), we get a palindrome (232231202132232).

The spelling of 210021200012220 in words is "two hundred ten trillion, twenty-one billion, two hundred million, twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 139 278 417 556 695 834 1390 1668 2085 2780 4170 8340 12301 24602 36903 49204 61505 73806 123010 147612 184515 246020 369030 738060 1709839 2047183 3419678 4094366 5129517 6141549 6839356 8188732 8549195 10235915 10259034 12283098 17098390 20471830 20518068 24566196 25647585 30707745 34196780 40943660 51295170 61415490 102590340 122830980 284558437 569116874 853675311 1138233748 1422792185 1707350622 2845584370 3414701244 4268376555 5691168740 8536753110 17073506220 25182398083 50364796166 75547194249 100729592332 125911990415 151094388498 251823980830 302188776996 377735971245 503647961660 755471942490 1510943884980 3500353333537 7000706667074 10501060000611 14001413334148 17501766667685 21002120001222 35003533335370 42004240002444 52505300003055 70007066670740 105010600006110 210021200012220