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21221022000 = 243533536837
BaseRepresentation
bin10011110000110111…
…110001100100110000
32000202221002121112210
4103300313301210300
5321430040201000
613425424052120
71350606465543
oct236067614460
960687077483
1021221022000
118aaa793a12
124142a64040
13200264c769
14105452885a
1584305a350
hex4f0df1930

21221022000 has 80 divisors (see below), whose sum is σ = 68416594272. Its totient is φ = 5658937600.

The previous prime is 21221021959. The next prime is 21221022037. The reversal of 21221022000 is 22012212.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

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 15 ways as a sum of consecutive naturals, for example, 1762419 + ... + 1774418.

Almost surely, 221221022000 is an apocalyptic number.

21221022000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21221022000 is an abundant number, since it is smaller than the sum of its proper divisors (47195572272).

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

21221022000 is a wasteful number, since it uses less digits than its factorization.

21221022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3536863 (or 3536847 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 21221022000 its reverse (22012212), we get a palindrome (21243034212).

The spelling of 21221022000 in words is "twenty-one billion, two hundred twenty-one million, twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 3536837 7073674 10610511 14147348 17684185 21221022 28294696 35368370 42442044 53052555 56589392 70736740 84884088 88420925 106105110 141473480 169768176 176841850 212210220 265262775 282946960 353683700 424420440 442104625 530525550 707367400 848840880 884209250 1061051100 1326313875 1414734800 1768418500 2122102200 2652627750 3536837000 4244204400 5305255500 7073674000 10610511000 21221022000