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21321231012 = 22322385730047
BaseRepresentation
bin10011110110110110…
…000010101010100100
32001000220122202110200
4103312312002222210
5322131213343022
613443403550500
71353234321234
oct236666025244
961026582420
1021321231012
119051308484
12417052b430
13201a337433
141063971cc4
1584bc51bac
hex4f6d82aa4

21321231012 has 72 divisors (see below), whose sum is σ = 56306105856. Its totient is φ = 6789915264.

The previous prime is 21321230999. The next prime is 21321231031. The reversal of 21321231012 is 21013212312.

21321231012 is a `hidden beast` number, since 21 + 321 + 2 + 310 + 12 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 694573 + ... + 724619.

It is an arithmetic number, because the mean of its divisors is an integer number (782029248).

Almost surely, 221321231012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21321231012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28153052928).

21321231012 is an abundant number, since it is smaller than the sum of its proper divisors (34984874844).

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

21321231012 is a wasteful number, since it uses less digits than its factorization.

21321231012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30937 (or 30932 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21321231012 its reverse (21013212312), we get a palindrome (42334443324).

The spelling of 21321231012 in words is "twenty-one billion, three hundred twenty-one million, two hundred thirty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 857 1714 2571 3428 5142 7713 10284 15426 19711 30047 30852 39422 59133 60094 78844 90141 118266 120188 177399 180282 236532 270423 354798 360564 540846 691081 709596 1081692 1382162 2073243 2764324 4146486 6219729 8292972 12439458 24878916 25750279 51500558 77250837 103001116 154501674 231752511 309003348 463505022 592256417 927010044 1184512834 1776769251 2369025668 3553538502 5330307753 7107077004 10660615506 21321231012