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221211202020102 = 23374119001751199
BaseRepresentation
bin110010010011000010111111…
…000111011110001100000110
31002000020120210000101020221000
4302103002333013132030012
5212443311020204120402
62102251005010234130
764410660542545260
oct6223027707361406
91060216700336830
10221211202020102
1164537164637a28
1220988267b85946
139658185898878
143c8a972026b30
151a893272a7c1c
hexc930bf1de306

221211202020102 has 128 divisors (see below), whose sum is σ = 575539872768000. Its totient is φ = 61658331840000.

The previous prime is 221211202020089. The next prime is 221211202020203. The reversal of 221211202020102 is 201020202112122.

It is a happy number.

221211202020102 is a `hidden beast` number, since 221 + 21 + 120 + 202 + 0 + 102 = 666.

221211202020102 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 2×2212112020201022 (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 294101899 + ... + 294853097.

It is an arithmetic number, because the mean of its divisors is an integer number (4496405256000).

Almost surely, 2221211202020102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221211202020102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287769936384000).

221211202020102 is an abundant number, since it is smaller than the sum of its proper divisors (354328670747898).

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

221211202020102 is a wasteful number, since it uses less digits than its factorization.

221211202020102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770259 (or 770253 counting only the distinct ones).

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

Adding to 221211202020102 its reverse (201020202112122), we get a palindrome (422231404132224).

The spelling of 221211202020102 in words is "two hundred twenty-one trillion, two hundred eleven billion, two hundred two million, twenty thousand, one hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 27 41 42 54 63 82 123 126 189 246 287 369 378 574 738 861 1107 1722 2214 2583 5166 7749 15498 19001 38002 57003 114006 133007 171009 266014 342018 399021 513027 751199 779041 798042 1026054 1197063 1502398 1558082 2253597 2337123 2394126 3591189 4507194 4674246 5258393 5453287 6760791 7011369 7182378 10516786 10906574 13521582 14022738 15775179 16359861 20282373 21034107 30799159 31550358 32719722 40564746 42068214 47325537 49079583 61598318 92397477 94651074 98159166 141976611 147238749 184794954 215594113 277192431 283953222 294477498 431188226 554384862 646782339 831577293 1293564678 1663154586 1940347017 3880694034 5821041051 11642082102 14273532199 28547064398 42820596597 85641193194 99914725393 128461789791 199829450786 256923579582 299744176179 385385369373 585214820159 599488352358 770770738746 899232528537 1170429640318 1755644460477 1798465057074 2697697585611 3511288920954 4096503741113 5266933381431 5395395171222 8193007482226 10533866762862 12289511223339 15800800144293 24579022446678 31601600288586 36868533670017 73737067340034 110605601010051 221211202020102