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21021323112 = 2332101228621
BaseRepresentation
bin10011100100111101…
…111110111101101000
32000021000022212011200
4103210331332331220
5321022424314422
613353531524200
71342633204206
oct234475767550
960230285150
1021021323112
118a07a97209
1240a7bb9660
131ca016c53a
141035bc4076
158307602ac
hex4e4f7ef68

21021323112 has 72 divisors (see below), whose sum is σ = 57504030870. Its totient is φ = 6937488000.

The previous prime is 21021323111. The next prime is 21021323117. The reversal of 21021323112 is 21132312012.

21021323112 is a `hidden beast` number, since 210 + 21 + 323 + 112 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 20530877796 + 490445316 = 143286^2 + 22146^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (21021323111) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 720162 + ... + 748782.

Almost surely, 221021323112 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 21021323112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28752015435).

21021323112 is an abundant number, since it is smaller than the sum of its proper divisors (36482707758).

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

21021323112 is a wasteful number, since it uses less digits than its factorization.

21021323112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28835 (or 28727 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21021323112 its reverse (21132312012), we get a palindrome (42153635124).

The spelling of 21021323112 in words is "twenty-one billion, twenty-one million, three hundred twenty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 101 202 303 404 606 808 909 1212 1818 2424 3636 7272 10201 20402 28621 30603 40804 57242 61206 81608 85863 91809 114484 122412 171726 183618 228968 244824 257589 343452 367236 515178 686904 734472 1030356 2060712 2890721 5781442 8672163 11562884 17344326 23125768 26016489 34688652 52032978 69377304 104065956 208131912 291962821 583925642 875888463 1167851284 1751776926 2335702568 2627665389 3503553852 5255330778 7007107704 10510661556 21021323112