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21210253312 = 21116216389
BaseRepresentation
bin10011110000001110…
…101100100000000000
32000202011211111200111
4103300032230200000
5321414311101222
613424401201104
71350416115133
oct236016544000
960664744614
1021210253312
118aa46a9276
12413b330194
13200034c061
141052d2421a
1584212e777
hex4f03ac800

21210253312 has 48 divisors (see below), whose sum is σ = 42442955100. Its totient is φ = 10596925440.

The previous prime is 21210253277. The next prime is 21210253319. The reversal of 21210253312 is 21335201212.

It can be written as a sum of positive squares in 2 ways, for example, as 20159456256 + 1050797056 = 141984^2 + 32416^2 .

It is not an unprimeable number, because it can be changed into a prime (21210253319) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3316614 + ... + 3323002.

Almost surely, 221210253312 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 21210253312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21221477550).

21210253312 is an abundant number, since it is smaller than the sum of its proper divisors (21232701788).

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

21210253312 is an equidigital number, since it uses as much as digits as its factorization.

21210253312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8032 (or 8012 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 21210253312 its reverse (21335201212), we get a palindrome (42545454524).

The spelling of 21210253312 in words is "twenty-one billion, two hundred ten million, two hundred fifty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 1621 2048 3242 6389 6484 12778 12968 25556 25936 51112 51872 102224 103744 204448 207488 408896 414976 817792 829952 1635584 1659904 3271168 3319808 6542336 10356569 13084672 20713138 41426276 82852552 165705104 331410208 662820416 1325640832 2651281664 5302563328 10605126656 21210253312