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21210941232 = 2435132191699
BaseRepresentation
bin10011110000010001…
…010100011100110000
32000202020010110100000
4103300101110130300
5321420000104412
613424424030000
71350425011545
oct236021243460
960666113300
1021210941232
118aa50290a8
12413b602300
132000530200
141053062bcc
158422184dc
hex4f0454730

21210941232 has 360 divisors, whose sum is σ = 70209048000. Its totient is φ = 6179307264.

The previous prime is 21210941231. The next prime is 21210941273. The reversal of 21210941232 is 23214901212.

21210941232 is a `hidden beast` number, since 2 + 1 + 210 + 9 + 412 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between even and odd.

It is a junction number, because it is equal to n+sod(n) for n = 21210941196 and 21210941205.

It is not an unprimeable number, because it can be changed into a prime (21210941231) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12483519 + ... + 12485217.

Almost surely, 221210941232 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 21210941232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35104524000).

21210941232 is an abundant number, since it is smaller than the sum of its proper divisors (48998106768).

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

21210941232 is a wasteful number, since it uses less digits than its factorization.

21210941232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1767 (or 1736 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 21210941232 in words is "twenty-one billion, two hundred ten million, nine hundred forty-one thousand, two hundred thirty-two".