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21210333102 = 23273715113011
BaseRepresentation
bin10011110000001110…
…111111111110101110
32000202011222120010200
4103300032333332232
5321414321124402
613424403014330
71350416566560
oct236016777656
960664876120
1021210333102
118aa4753212
12413b36a3a6
13200037947a
141052d45330
1584214821c
hex4f03bffae

21210333102 has 96 divisors (see below), whose sum is σ = 53993931264. Its totient is φ = 5890449600.

The previous prime is 21210333097. The next prime is 21210333143. The reversal of 21210333102 is 20133301212.

21210333102 is a `hidden beast` number, since 21 + 210 + 333 + 102 = 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 47 ways as a sum of consecutive naturals, for example, 7042777 + ... + 7045787.

It is an arithmetic number, because the mean of its divisors is an integer number (562436784).

Almost surely, 221210333102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21210333102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26996965632).

21210333102 is an abundant number, since it is smaller than the sum of its proper divisors (32783598162).

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

21210333102 is a wasteful number, since it uses less digits than its factorization.

21210333102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4574 (or 4571 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 21210333102 its reverse (20133301212), we get a palindrome (41343634314).

The spelling of 21210333102 in words is "twenty-one billion, two hundred ten million, three hundred thirty-three thousand, one hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 37 42 63 74 111 126 222 259 333 518 666 777 1511 1554 2331 3011 3022 4533 4662 6022 9033 9066 10577 13599 18066 21077 21154 27099 27198 31731 42154 54198 55907 63231 63462 95193 111407 111814 126462 167721 189693 190386 222814 334221 335442 379386 391349 503163 668442 779849 782698 1002663 1006326 1174047 1559698 2005326 2339547 2348094 3522141 4549621 4679094 7018641 7044282 9099242 13648863 14037282 27297726 31847347 40946589 63694694 81893178 95542041 168335977 191084082 286626123 336671954 505007931 573252246 1010015862 1178351839 1515023793 2356703678 3030047586 3535055517 7070111034 10605166551 21210333102