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21237232900 = 2252132192592
BaseRepresentation
bin10011110001110101…
…100111010100000100
32000211001121012201111
4103301311213110010
5321443212423100
613431203334404
71351164333622
oct236165472404
960731535644
1021237232900
119008956454
124148381404
132005b07300
141056748512
158446ad6ba
hex4f1d67504

21237232900 has 243 divisors, whose sum is σ = 53574944031. Its totient is φ = 7302821760.

The previous prime is 21237232897. The next prime is 21237232903. The reversal of 21237232900 is 923273212.

The square root of 21237232900 is 145730.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (21237232897) and next prime (21237232903).

It can be written as a sum of positive squares in 4 ways, for example, as 5473928196 + 15763304704 = 73986^2 + 125552^2 .

It is a super-2 number, since 2×212372329002 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21237232903) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 359953071 + ... + 359953129.

Almost surely, 221237232900 is an apocalyptic number.

21237232900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

21237232900 is the 145730-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21237232900

21237232900 is an abundant number, since it is smaller than the sum of its proper divisors (32337711131).

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

21237232900 is a wasteful number, since it uses less digits than its factorization.

21237232900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The spelling of 21237232900 in words is "twenty-one billion, two hundred thirty-seven million, two hundred thirty-two thousand, nine hundred".