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21351322000 = 245310675661
BaseRepresentation
bin10011111000101000…
…110101000110010000
32001010000021112112201
4103320220311012100
5322211414301000
613450400532544
71354051146121
oct237050650620
961100245481
1021351322000
1190672a0268
12417a621154
132023641958
141067966048
1584e6e796a
hex4f8a35190

21351322000 has 40 divisors (see below), whose sum is σ = 51627501432. Its totient is φ = 8540528000.

The previous prime is 21351321997. The next prime is 21351322001. The reversal of 21351322000 is 22315312.

It can be written as a sum of positive squares in 4 ways, for example, as 1122518016 + 20228803984 = 33504^2 + 142228^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×213513220002 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21351322001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5335831 + ... + 5339830.

Almost surely, 221351322000 is an apocalyptic number.

21351322000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21351322000 is an abundant number, since it is smaller than the sum of its proper divisors (30276179432).

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

21351322000 is a wasteful number, since it uses less digits than its factorization.

21351322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10675684 (or 10675668 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

Adding to 21351322000 its reverse (22315312), we get a palindrome (21373637312).

The spelling of 21351322000 in words is "twenty-one billion, three hundred fifty-one million, three hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 10675661 21351322 42702644 53378305 85405288 106756610 170810576 213513220 266891525 427026440 533783050 854052880 1067566100 1334457625 2135132200 2668915250 4270264400 5337830500 10675661000 21351322000