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102220020221121 = 32117966912960191
BaseRepresentation
bin10111001111011111110011…
…111111101000010011000001
3111101221010201222000200011100
4113033133303333220103001
5101344233100134033441
61001223121244405013
730350103251521035
oct2717376377502301
9441833658020140
10102220020221121
112a6302a35a9650
12b56ab11b46769
1345063ca63406a
141b356926101c5
15bc3e9d633cb6
hex5cf7f3fe84c1

102220020221121 has 24 divisors (see below), whose sum is σ = 161076005475840. Its totient is φ = 61950745015200.

The previous prime is 102220020221119. The next prime is 102220020221153. The reversal of 102220020221121 is 121122020022201.

It is a happy number.

102220020221121 is a `hidden beast` number, since 10 + 2 + 220 + 0 + 202 + 211 + 21 = 666.

It is not a de Polignac number, because 102220020221121 - 21 = 102220020221119 is a prime.

It is a super-2 number, since 2×1022200202211212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102220020221094 and 102220020221103.

It is not an unprimeable number, because it can be changed into a prime (102220020221161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1407136 + ... + 14367326.

It is an arithmetic number, because the mean of its divisors is an integer number (6711500228160).

Almost surely, 2102220020221121 is an apocalyptic number.

102220020221121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102220020221121 is a deficient number, since it is larger than the sum of its proper divisors (58855985254719).

102220020221121 is a wasteful number, since it uses less digits than its factorization.

102220020221121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13039877 (or 13039874 counting only the distinct ones).

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

Adding to 102220020221121 its reverse (121122020022201), we get a palindrome (223342040243322).

The spelling of 102220020221121 in words is "one hundred two trillion, two hundred twenty billion, twenty million, two hundred twenty-one thousand, one hundred twenty-one".

Divisors: 1 3 9 11 33 99 79669 239007 717021 876359 2629077 7887231 12960191 38880573 116641719 142562101 427686303 1283058909 1032525456779 3097576370337 9292729111011 11357780024569 34073340073707 102220020221121