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21320232102 = 2341373138679
BaseRepresentation
bin10011110110110010…
…001110110010100110
32001000211210000020000
4103312302032302212
5322130434411402
613443330322130
71353222661041
oct236662166246
961024700200
1021320232102
119050795a34
124170129346
13201a077870
141063791c58
1584bb05c1c
hex4f6c8eca6

21320232102 has 80 divisors (see below), whose sum is σ = 52153110240. Its totient is φ = 6470160768.

The previous prime is 21320232091. The next prime is 21320232121. The reversal of 21320232102 is 20123202312.

21320232102 is a `hidden beast` number, since 21 + 320 + 2 + 321 + 0 + 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 (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 84399 + ... + 223077.

It is an arithmetic number, because the mean of its divisors is an integer number (651913878).

Almost surely, 221320232102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21320232102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26076555120).

21320232102 is an abundant number, since it is smaller than the sum of its proper divisors (30832878138).

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

21320232102 is a wasteful number, since it uses less digits than its factorization.

21320232102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138779 (or 138770 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 21320232102 its reverse (20123202312), we get a palindrome (41443434414).

The spelling of 21320232102 in words is "twenty-one billion, three hundred twenty million, two hundred thirty-two thousand, one hundred two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 73 78 81 117 146 162 219 234 351 438 657 702 949 1053 1314 1898 1971 2106 2847 3942 5694 5913 8541 11826 17082 25623 51246 76869 138679 153738 277358 416037 832074 1248111 1802827 2496222 3605654 3744333 5408481 7488666 10123567 10816962 11232999 16225443 20247134 22465998 30370701 32450886 48676329 60741402 91112103 97352658 131606371 146028987 182224206 263212742 273336309 292057974 394819113 546672618 789638226 820008927 1184457339 1640017854 2368914678 3553372017 7106744034 10660116051 21320232102