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21320202312 = 233210112132417
BaseRepresentation
bin10011110110110010…
…000111100001001000
32001000211201111100200
4103312302013201020
5322130432433222
613443325532200
71353222505143
oct236662074110
961024644320
1021320202312
119050775612
124170114060
13201a067136
14106378505a
1584baebeac
hex4f6c87848

21320202312 has 96 divisors (see below), whose sum is σ = 58386140280. Its totient is φ = 7027660800.

The previous prime is 21320202283. The next prime is 21320202317.

21320202312 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 21185966916 + 134235396 = 145554^2 + 11586^2 .

It is a super-2 number, since 2×213202023122 (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (21320202317) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8819728 + ... + 8822144.

Almost surely, 221320202312 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 21320202312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29193070140).

21320202312 is an abundant number, since it is smaller than the sum of its proper divisors (37065937968).

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

21320202312 is a wasteful number, since it uses less digits than its factorization.

21320202312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3743 (or 3736 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The spelling of 21320202312 in words is "twenty-one billion, three hundred twenty million, two hundred two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 101 202 303 404 606 808 909 1212 1213 1818 2417 2424 2426 3636 3639 4834 4852 7251 7272 7278 9668 9704 10917 14502 14556 19336 21753 21834 29004 29112 43506 43668 58008 87012 87336 122513 174024 244117 245026 367539 488234 490052 732351 735078 976468 980104 1102617 1464702 1470156 1952936 2197053 2205234 2929404 2931821 2940312 4394106 4410468 5858808 5863642 8788212 8795463 8820936 11727284 17576424 17590926 23454568 26386389 35181852 52772778 70363704 105545556 211091112 296113921 592227842 888341763 1184455684 1776683526 2368911368 2665025289 3553367052 5330050578 7106734104 10660101156 21320202312