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221202022012002 = 2343391600767033
BaseRepresentation
bin110010010010111010011011…
…111100100001010001100010
31002000012201002020120112020000
4302102322123330201101202
5212443133220113341002
62102242450035000430
764410214213013253
oct6222723374412142
91060181066515200
10221202022012002
1164533283778a79
1220986525739116
139657351a40b05
143c8a340b54b2a
151a88e8b3c061c
hexc92e9bf21462

221202022012002 has 80 divisors (see below), whose sum is σ = 495892485952512. Its totient is φ = 73698892787520.

The previous prime is 221202022011959. The next prime is 221202022012033. The reversal of 221202022012002 is 200210220202122.

221202022012002 is a `hidden beast` number, since 221 + 2 + 0 + 20 + 220 + 1 + 200 + 2 = 666.

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

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 39 ways as a sum of consecutive naturals, for example, 3299863878 + ... + 3299930910.

Almost surely, 2221202022012002 is an apocalyptic number.

221202022012002 is an abundant number, since it is smaller than the sum of its proper divisors (274690463940510).

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

221202022012002 is a wasteful number, since it uses less digits than its factorization.

221202022012002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76445 (or 76436 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 221202022012002 its reverse (200210220202122), we get a palindrome (421412242214124).

The spelling of 221202022012002 in words is "two hundred twenty-one trillion, two hundred two billion, twenty-two million, twelve thousand, two".

Divisors: 1 2 3 6 9 18 27 54 81 162 3391 6007 6782 10173 12014 18021 20346 30519 36042 54063 61038 67033 91557 108126 134066 162189 183114 201099 274671 324378 402198 486567 549342 603297 973134 1206594 1809891 3619782 5429673 10859346 20369737 40739474 61109211 122218422 183327633 227308903 366655266 402667231 454617806 549982899 681926709 805334462 1099965798 1208001693 1363853418 1649948697 2045780127 2416003386 3299897394 3624005079 4091560254 6137340381 7248010158 10872015237 12274680762 18412021143 21744030474 32616045711 36824042286 65232091422 1365444580321 2730889160642 4096333740963 8192667481926 12289001222889 24578002445778 36867003668667 73734007337334 110601011006001 221202022012002