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21204132102 = 23310123916267
BaseRepresentation
bin10011101111110111…
…010110000100000110
32000201202022111222000
4103233313112010012
5321411224211402
613424022050130
71350313102056
oct235767260406
960652274860
1021204132102
118aa11a831a
124139279946
131ccbcb7b3a
1410521ad566
15841820c1c
hex4efdd6106

21204132102 has 64 divisors (see below), whose sum is σ = 47788876800. Its totient is φ = 6968354400.

The previous prime is 21204132067. The next prime is 21204132121. The reversal of 21204132102 is 20123140212.

It is a happy number.

21204132102 is a `hidden beast` number, since 21 + 20 + 413 + 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 (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1295373 + ... + 1311639.

It is an arithmetic number, because the mean of its divisors is an integer number (746701200).

Almost surely, 221204132102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21204132102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23894438400).

21204132102 is an abundant number, since it is smaller than the sum of its proper divisors (26584744698).

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

21204132102 is a wasteful number, since it uses less digits than its factorization.

21204132102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16618 (or 16612 counting only the distinct ones).

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

Adding to 21204132102 its reverse (20123140212), we get a palindrome (41327272314).

The spelling of 21204132102 in words is "twenty-one billion, two hundred four million, one hundred thirty-two thousand, one hundred two".

Divisors: 1 2 3 6 9 18 27 54 101 202 239 303 478 606 717 909 1434 1818 2151 2727 4302 5454 6453 12906 16267 24139 32534 48278 48801 72417 97602 144834 146403 217251 292806 434502 439209 651753 878418 1303506 1642967 3285934 3887813 4928901 7775626 9857802 11663439 14786703 23326878 29573406 34990317 44360109 69980634 88720218 104970951 209941902 392669113 785338226 1178007339 2356014678 3534022017 7068044034 10602066051 21204132102