Search a number
-
+
21320589312 = 213341123127
BaseRepresentation
bin10011110110110011…
…100110000000000000
32001000212110011020000
4103312303212000000
5322131032324222
613443342120000
71353226006341
oct236663460000
961025404200
1021320589312
119050a0a350
124170280000
13201a171329
1410638460c8
1584bb769ac
hex4f6ce6000

21320589312 has 560 divisors, whose sum is σ = 73077092352. Its totient is φ = 6131220480.

The previous prime is 21320589299. The next prime is 21320589319. The reversal of 21320589312 is 21398502312.

21320589312 is a `hidden beast` number, since 21 + 3 + 20 + 589 + 31 + 2 = 666.

It is a super-2 number, since 2×213205893122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21320589319) 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, 167878593 + ... + 167878719.

Almost surely, 221320589312 is an apocalyptic number.

21320589312 is a gapful number since it is divisible by the number (22) 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 21320589312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36538546176).

21320589312 is an abundant number, since it is smaller than the sum of its proper divisors (51756503040).

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

21320589312 is a wasteful number, since it uses less digits than its factorization.

21320589312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 21320589312 in words is "twenty-one billion, three hundred twenty million, five hundred eighty-nine thousand, three hundred twelve".