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21333102102 = 232131076611289
BaseRepresentation
bin10011110111100011…
…010100111000010110
32001001201222212112200
4103313203110320112
5322142233231402
613444510225330
71353440242644
oct236743247026
961051885480
1021333102102
119057a863a4
1241744b5246
13201c932850
141065382194
1584cce921c
hex4f78d4e16

21333102102 has 96 divisors (see below), whose sum is σ = 50357492640. Its totient is φ = 6487810560.

The previous prime is 21333102053. The next prime is 21333102107. The reversal of 21333102102 is 20120133312.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21333102107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16549474 + ... + 16550762.

It is an arithmetic number, because the mean of its divisors is an integer number (524557215).

Almost surely, 221333102102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21333102102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25178746320).

21333102102 is an abundant number, since it is smaller than the sum of its proper divisors (29024390538).

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

21333102102 is a wasteful number, since it uses less digits than its factorization.

21333102102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2078 (or 2075 counting only the distinct ones).

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

Adding to 21333102102 its reverse (20120133312), we get a palindrome (41453235414).

The spelling of 21333102102 in words is "twenty-one billion, three hundred thirty-three million, one hundred two thousand, one hundred two".

Divisors: 1 2 3 6 9 13 18 26 39 78 107 117 214 234 321 642 661 963 1289 1322 1391 1926 1983 2578 2782 3867 3966 4173 5949 7734 8346 8593 11601 11898 12519 16757 17186 23202 25038 25779 33514 50271 51558 70727 77337 100542 137923 141454 150813 154674 212181 275846 301626 413769 424362 636543 827538 852029 919451 1241307 1273086 1704058 1792999 1838902 2482614 2556087 2758353 3585998 5112174 5378997 5516706 7668261 8275059 10757994 11076377 15336522 16136991 16550118 22152754 32273982 33229131 66458262 91167103 99687393 182334206 199374786 273501309 547002618 820503927 1185172339 1641007854 2370344678 3555517017 7111034034 10666551051 21333102102