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221002110122120 = 235311087163962749
BaseRepresentation
bin110010010000000000010000…
…010001001011100010001000
31001222111121002001002022002022
4302100000100101023202020
5212431344310142401440
62102010545013224012
764356606212001125
oct6220002021134210
91058447061068068
10221002110122120
1164466517718258
1220953833632008
139641542a61602
143c807b864b74c
151a83b8aa52cb5
hexc9001044b888

221002110122120 has 64 divisors (see below), whose sum is σ = 513767439360000. Its totient is φ = 85470501277440.

The previous prime is 221002110122077. The next prime is 221002110122159. The reversal of 221002110122120 is 21221011200122.

It is a super-2 number, since 2×2210021101221202 (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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80633495 + ... + 83329254.

It is an arithmetic number, because the mean of its divisors is an integer number (8027616240000).

Almost surely, 2221002110122120 is an apocalyptic number.

221002110122120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221002110122120 is an abundant number, since it is smaller than the sum of its proper divisors (292765329237880).

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

221002110122120 is a wasteful number, since it uses less digits than its factorization.

221002110122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163963878 (or 163963874 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 221002110122120 its reverse (21221011200122), we get a palindrome (242223121322242).

The spelling of 221002110122120 in words is "two hundred twenty-one trillion, two billion, one hundred ten million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 1087 1240 2174 4348 5435 8696 10870 21740 33697 43480 67394 134788 168485 269576 336970 673940 1347880 163962749 327925498 655850996 819813745 1311701992 1639627490 3279254980 5082845219 6558509960 10165690438 20331380876 25414226095 40662761752 50828452190 101656904380 178227508163 203313808760 356455016326 712910032652 891137540815 1425820065304 1782275081630 3564550163260 5525052753053 7129100326520 11050105506106 22100211012212 27625263765265 44200422024424 55250527530530 110501055061060 221002110122120