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221202221012010 = 23257379489584771
BaseRepresentation
bin110010010010111010100111…
…110011101001010000101010
31002000012201121010000202220200
4302102322213303221100222
5212443134122034341020
62102242521504133030
764410222150334230
oct6222724763512052
91060181533022820
10221202221012010
1164533376038697
1220986580307176
139657384037bb4
143c8a35d356950
151a88e9dacd590
hexc92ea7ce942a

221202221012010 has 96 divisors (see below), whose sum is σ = 675051102340992. Its totient is φ = 49194007447680.

The previous prime is 221202221012009. The next prime is 221202221012021. The reversal of 221202221012010 is 10210122202122.

It is a happy number.

221202221012010 is a `hidden beast` number, since 22 + 120 + 222 + 101 + 201 + 0 = 666.

221202221012010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2212022210120102 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4744769076 + ... + 4744815695.

It is an arithmetic number, because the mean of its divisors is an integer number (7031782316052).

Almost surely, 2221202221012010 is an apocalyptic number.

221202221012010 is an abundant number, since it is smaller than the sum of its proper divisors (453848881328982).

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

221202221012010 is a wasteful number, since it uses less digits than its factorization.

221202221012010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9489584828 (or 9489584825 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 221202221012010 its reverse (10210122202122), we get a palindrome (231412343214132).

The spelling of 221202221012010 in words is "two hundred twenty-one trillion, two hundred two billion, two hundred twenty-one million, twelve thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 37 42 45 63 70 74 90 105 111 126 185 210 222 259 315 333 370 518 555 630 666 777 1110 1295 1554 1665 2331 2590 3330 3885 4662 7770 11655 23310 9489584771 18979169542 28468754313 47447923855 56937508626 66427093397 85406262939 94895847710 132854186794 142343771565 170812525878 199281280191 284687543130 332135466985 351114636527 398562560382 427031314695 597843840573 664270933970 702229273054 854062629390 996406400955 1053343909581 1195687681146 1755573182635 1992812801910 2106687819162 2457802455689 2989219202865 3160031728743 3511146365270 4915604911378 5266719547905 5978438405730 6320063457486 7373407367067 10533439095810 12289012278445 14746814734134 15800158643715 22120222101201 24578024556890 31600317287430 36867036835335 44240444202402 73734073670670 110601110506005 221202221012010