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21237133120 = 26574131211
BaseRepresentation
bin10011110001110101…
…001110111101000000
32000211001102010211221
4103301311032331000
5321443201224440
613431201244424
71351163440000
oct236165167500
960731363757
1021237133120
119008898495
124148333714
132005aa0a78
141056720000
1584468dd4a
hex4f1d4ef40

21237133120 has 280 divisors, whose sum is σ = 59727986208. Its totient is φ = 7191475200.

The previous prime is 21237133111. The next prime is 21237133123. The reversal of 21237133120 is 2133173212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (280).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21237133123) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 100649815 + ... + 100650025.

Almost surely, 221237133120 is an apocalyptic number.

21237133120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21237133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29863993104).

21237133120 is an abundant number, since it is smaller than the sum of its proper divisors (38490853088).

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

21237133120 is an equidigital number, since it uses as much as digits as its factorization.

21237133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 25.

The spelling of 21237133120 in words is "twenty-one billion, two hundred thirty-seven million, one hundred thirty-three thousand, one hundred twenty".