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202221020200012 = 2211731011374549973
BaseRepresentation
bin101101111110101101000000…
…000100110011110001001100
3222112000010210120222101121021
4231332231000010303301030
5203001142122132400022
61554031015412243524
760410662252445542
oct5576550004636114
9875003716871537
10202221020200012
11594854a9014760
121a81b9566105a4
1388ab48b9aa698
1437d179a165d92
15185a375acd7c7
hexb7eb40133c4c

202221020200012 has 96 divisors (see below), whose sum is σ = 398106417893184. Its totient is φ = 89106651648000.

The previous prime is 202221020199997. The next prime is 202221020200033. The reversal of 202221020200012 is 210002020122202.

It is a super-2 number, since 2×2022210202000122 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42169458 + ... + 46719430.

It is an arithmetic number, because the mean of its divisors is an integer number (4146941853054).

Almost surely, 2202221020200012 is an apocalyptic number.

202221020200012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

202221020200012 is a deficient number, since it is larger than the sum of its proper divisors (195885397693172).

202221020200012 is a wasteful number, since it uses less digits than its factorization.

202221020200012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4550299 (or 4550297 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 202221020200012 its reverse (210002020122202), we get a palindrome (412223040322214).

It can be divided in two parts, 2022210 and 20200012, that added together give a palindrome (22222222).

The spelling of 202221020200012 in words is "two hundred two trillion, two hundred twenty-one billion, twenty million, two hundred thousand, twelve".

Divisors: 1 2 4 11 22 44 73 101 137 146 202 274 292 404 548 803 1111 1507 1606 2222 3014 3212 4444 6028 7373 10001 13837 14746 20002 27674 29492 40004 55348 81103 110011 152207 162206 220022 304414 324412 440044 608828 1010101 2020202 4040404 4549973 9099946 11111111 18199892 22222222 44444444 50049703 100099406 200198812 332148029 459547273 623346301 664296058 919094546 1246692602 1328592116 1838189092 2493385204 3653628319 5055020003 6856809311 7307256638 10110040006 13713618622 14614513276 20220080012 27427237244 33546950929 45504279973 62957976401 67093901858 91008559946 125915952802 134187803716 182017119892 251831905604 369016460219 500547079703 692537740411 738032920438 1001094159406 1385075480822 1476065840876 2002188318812 2770150961644 4595932277273 9191864554546 18383729109092 50555255050003 101110510100006 202221020200012