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102223021200021 = 33531094631415473
BaseRepresentation
bin10111001111100010100110…
…110111011101001010010101
3111101221102111002220012022000
4113033202212313131022111
5101344310221411400041
61001224335130025513
730350240521441461
oct2717424667351225
9441842432805260
10102223021200021
112a6315a35784a7
12b56b60ab78299
13450678829c017
141b35898dcd4a1
15bc40c6d1cbb6
hex5cf8a6ddd295

102223021200021 has 64 divisors (see below), whose sum is σ = 156050912793600. Its totient is φ = 66106301893632.

The previous prime is 102223021199983. The next prime is 102223021200037. The reversal of 102223021200021 is 120002120322201.

102223021200021 is a `hidden beast` number, since 1 + 0 + 222 + 302 + 120 + 0 + 0 + 21 = 666.

It is not a de Polignac number, because 102223021200021 - 222 = 102223017005717 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102223021199967 and 102223021200003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102223021200721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71510541 + ... + 72926013.

It is an arithmetic number, because the mean of its divisors is an integer number (2438295512400).

Almost surely, 2102223021200021 is an apocalyptic number.

It is an amenable number.

102223021200021 is a deficient number, since it is larger than the sum of its proper divisors (53827891593579).

102223021200021 is a wasteful number, since it uses less digits than its factorization.

102223021200021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1416107 (or 1416101 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 102223021200021 its reverse (120002120322201), we get a palindrome (222225141522222).

The spelling of 102223021200021 in words is "one hundred two trillion, two hundred twenty-three billion, twenty-one million, two hundred thousand, twenty-one".

Divisors: 1 3 9 27 53 109 159 327 463 477 981 1389 1431 2943 4167 5777 12501 17331 24539 50467 51993 73617 151401 155979 220851 454203 662553 1362609 1415473 2674751 4246419 8024253 12739257 24072759 38217771 72218277 75020069 154286557 225060207 462859671 655363999 675180621 1388579013 1966091997 2025541863 4165737039 5898275991 8177187521 17694827973 24531562563 34734291947 71434675891 73594687689 104202875841 214304027673 220784063067 312608627523 642912083019 937825882569 1928736249057 3786037822223 11358113466669 34074340400007 102223021200021