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21221002012 = 22717312236449
BaseRepresentation
bin10011110000110111…
…101100101100011100
32000202221001121010111
4103300313230230130
5321430034031022
613425423415404
71350606353350
oct236067545434
960687047114
1021221002012
118aaa77a9a1
124142a54564
132002643632
141054521460
15843054477
hex4f0decb1c

21221002012 has 96 divisors (see below), whose sum is σ = 46603468800. Its totient is φ = 8245186560.

The previous prime is 21221002001. The next prime is 21221002027. The reversal of 21221002012 is 21020012212.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 21221001983 and 21221002001.

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, 3287364 + ... + 3293812.

It is an arithmetic number, because the mean of its divisors is an integer number (485452800).

Almost surely, 221221002012 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 21221002012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23301734400).

21221002012 is an abundant number, since it is smaller than the sum of its proper divisors (25382466788).

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

21221002012 is a wasteful number, since it uses less digits than its factorization.

21221002012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6731 (or 6729 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 21221002012 its reverse (21020012212), we get a palindrome (42241014224).

The spelling of 21221002012 in words is "twenty-one billion, two hundred twenty-one million, two thousand, twelve".

Divisors: 1 2 4 7 14 17 28 31 34 62 68 119 124 217 223 238 434 446 476 527 868 892 1054 1561 2108 3122 3689 3791 6244 6449 6913 7378 7582 12898 13826 14756 15164 25796 26537 27652 45143 48391 53074 90286 96782 106148 109633 117521 180572 193564 199919 219266 235042 399838 438532 470084 767431 799676 822647 1399433 1438127 1534862 1645294 2798866 2876254 3069724 3290588 3398623 5597732 5752508 6797246 10066889 13594492 20133778 23790361 24448159 40267556 44581937 47580722 48896318 89163874 95161444 97792636 171137113 178327748 312073559 342274226 624147118 684548452 757892929 1248294236 1515785858 3031571716 5305250503 10610501006 21221002012