Search a number
-
+
21321132012 = 22351731107389
BaseRepresentation
bin10011110110110101…
…101010011111101100
32001000220110201200000
4103312311222133230
5322131202211022
613443401504300
71353233426505
oct236665523754
961026421600
1021321132012
119051250064
1241704a2090
13201a30135b
141063947bac
1584bc326ac
hex4f6d6a7ec

21321132012 has 288 divisors, whose sum is σ = 61817333760. Its totient is φ = 6396226560.

The previous prime is 21321131959. The next prime is 21321132031. The reversal of 21321132012 is 21023112312.

21321132012 is a `hidden beast` number, since 21 + 321 + 1 + 320 + 1 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 54809914 + ... + 54810302.

It is an arithmetic number, because the mean of its divisors is an integer number (214643520).

Almost surely, 221321132012 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 21321132012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30908666880).

21321132012 is an abundant number, since it is smaller than the sum of its proper divisors (40496201748).

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

21321132012 is a wasteful number, since it uses less digits than its factorization.

21321132012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 549 counting only the distinct ones).

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

Adding to 21321132012 its reverse (21023112312), we get a palindrome (42344244324).

The spelling of 21321132012 in words is "twenty-one billion, three hundred twenty-one million, one hundred thirty-two thousand, twelve".