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21000222222102 = 2341631097724961
BaseRepresentation
bin1001100011001011111101…
…10010010010011100010110
32202100121020121000222120000
410301211332302102130112
510223031423342101402
6112355211403352130
74265134040440524
oct461457662223426
982317217028500
1021000222222102
116767164a73762
122431b97b22646
13b9440a617536
145285b7dcd314
152663e5d95c1c
hex13197ec92716

21000222222102 has 80 divisors (see below), whose sum is σ = 47387964686832. Its totient is φ = 6950777287680.

The previous prime is 21000222222059. The next prime is 21000222222131. The reversal of 21000222222102 is 20122222200012.

21000222222102 is a `hidden beast` number, since 210 + 0 + 0 + 22 + 222 + 210 + 2 = 666.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 28604902 + ... + 29329862.

Almost surely, 221000222222102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21000222222102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23693982343416).

21000222222102 is an abundant number, since it is smaller than the sum of its proper divisors (26387742464730).

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

21000222222102 is a wasteful number, since it uses less digits than its factorization.

21000222222102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726235 (or 726226 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 21000222222102 its reverse (20122222200012), we get a palindrome (41122444422114).

The spelling of 21000222222102 in words is "twenty-one trillion, two hundred twenty-two million, two hundred twenty-two thousand, one hundred two".

Divisors: 1 2 3 6 9 18 27 54 81 162 163 326 489 978 1097 1467 2194 2934 3291 4401 6582 8802 9873 13203 19746 26406 29619 59238 88857 177714 178811 357622 536433 724961 1072866 1449922 1609299 2174883 3218598 4349766 4827897 6524649 9655794 13049298 14483691 19573947 28967382 39147894 58721841 117443682 118168643 236337286 354505929 709011858 795282217 1063517787 1590564434 2127035574 2385846651 3190553361 4771693302 6381106722 7157539953 9571660083 14315079906 19143320166 21472619859 42945239718 64417859577 128835719154 129631001371 259262002742 388893004113 777786008226 1166679012339 2333358024678 3500037037017 7000074074034 10500111111051 21000222222102