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21220311996 = 22321376958963
BaseRepresentation
bin10011110000110101…
…000100001110111100
32000202212202112121100
4103300311010032330
5321424344440441
613425400533100
71350600450552
oct236065041674
960685675540
1021220311996
118aaa349534
124142781190
132002461540
1410543c1bd2
15842e69cb6
hex4f0d443bc

21220311996 has 72 divisors (see below), whose sum is σ = 57842504720. Its totient is φ = 6520725504.

The previous prime is 21220311977. The next prime is 21220312007. The reversal of 21220311996 is 69911302212.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 21220311996.

It is a congruent number.

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, 330411 + ... + 389373.

Almost surely, 221220311996 is an apocalyptic number.

21220311996 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21220311996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28921252360).

21220311996 is an abundant number, since it is smaller than the sum of its proper divisors (36622192724).

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

21220311996 is a wasteful number, since it uses less digits than its factorization.

21220311996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59755 (or 59750 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 21220311996 in words is "twenty-one billion, two hundred twenty million, three hundred eleven thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 769 1538 2307 3076 4614 6921 9228 9997 13842 19994 27684 29991 39988 58963 59982 89973 117926 119964 176889 179946 235852 353778 359892 530667 707556 766519 1061334 1533038 2122668 2299557 3066076 4599114 6898671 9198228 13797342 27594684 45342547 90685094 136027641 181370188 272055282 408082923 544110564 589453111 816165846 1178906222 1632331692 1768359333 2357812444 3536718666 5305077999 7073437332 10610155998 21220311996