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102022021221021 = 321126926573144167
BaseRepresentation
bin10111001100100111011010…
…010101011000101010011101
3111101020012200001222022111100
4113030213122111120222131
5101333012044413033041
61000552134114543313
730326563536012006
oct2714473225305235
9441205601868440
10102022021221021
112a5643292a8280
12b538674597b39
1344c0834a4c3c5
141b29c6c1a81ad
15bbdc60bbd6b6
hex5cc9da558a9d

102022021221021 has 48 divisors (see below), whose sum is σ = 161366792595840. Its totient is φ = 61598925548160.

The previous prime is 102022021221017. The next prime is 102022021221037. The reversal of 102022021221021 is 120122120220201.

It is a happy number.

102022021221021 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 220 + 212 + 210 + 21 = 666.

It is not a de Polignac number, because 102022021221021 - 22 = 102022021221017 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102022021220985 and 102022021221003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102022021221721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 707593480 + ... + 707737646.

It is an arithmetic number, because the mean of its divisors is an integer number (3361808179080).

Almost surely, 2102022021221021 is an apocalyptic number.

102022021221021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102022021221021 is a deficient number, since it is larger than the sum of its proper divisors (59344771374819).

102022021221021 is a wasteful number, since it uses less digits than its factorization.

102022021221021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171026 (or 171023 counting only the distinct ones).

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

Adding to 102022021221021 its reverse (120122120220201), we get a palindrome (222144141441222).

The spelling of 102022021221021 in words is "one hundred two trillion, twenty-two billion, twenty-one million, two hundred twenty-one thousand, twenty-one".

Divisors: 1 3 9 11 33 99 269 807 2421 2959 8877 26573 26631 79719 144167 239157 292303 432501 876909 1297503 1585837 2630727 4757511 7148137 14272533 21444411 38780923 64333233 78629507 116342769 235888521 349028307 426590153 707665563 1279770459 3830949691 3839311377 11492849073 34478547219 42140446601 126421339803 379264019409 1030525466879 3091576400637 9274729201911 11335780135669 34007340407007 102022021221021