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21321313232 = 2417735771861
BaseRepresentation
bin10011110110110110…
…010110101111010000
32001000220210221020212
4103312312112233100
5322131224010412
613443405423252
71353235113032
oct236666265720
961026727225
1021321313232
11905136422a
12417056ab28
13201a36599b
141063993c52
1584bc6b222
hex4f6d96bd0

21321313232 has 80 divisors (see below), whose sum is σ = 44439936912. Its totient is φ = 9873653760.

The previous prime is 21321313217. The next prime is 21321313243. The reversal of 21321313232 is 23231312312.

It can be written as a sum of positive squares in 8 ways, for example, as 517289536 + 20804023696 = 22744^2 + 144236^2 .

It is a junction number, because it is equal to n+sod(n) for n = 21321313198 and 21321313207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11455982 + ... + 11457842.

Almost surely, 221321313232 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 21321313232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22219968456).

21321313232 is an abundant number, since it is smaller than the sum of its proper divisors (23118623680).

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

21321313232 is a wasteful number, since it uses less digits than its factorization.

21321313232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2536 (or 2530 counting only the distinct ones).

The product of its digits is 1296, while the sum is 23.

Adding to 21321313232 its reverse (23231312312), we get a palindrome (44552625544).

The spelling of 21321313232 in words is "twenty-one billion, three hundred twenty-one million, three hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 17 34 68 73 136 146 272 292 577 584 1154 1168 1241 1861 2308 2482 3722 4616 4964 7444 9232 9809 9928 14888 19618 19856 29776 31637 39236 42121 63274 78472 84242 126548 135853 156944 168484 253096 271706 336968 506192 543412 673936 716057 1073797 1086824 1432114 2147594 2173648 2309501 2864228 4295188 4619002 5728456 8590376 9238004 11456912 17180752 18254549 18476008 36509098 36952016 73018196 78387181 146036392 156774362 292072784 313548724 627097448 1254194896 1332582077 2665164154 5330328308 10660656616 21321313232