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21200313320 = 2356131727409
BaseRepresentation
bin10011101111101000…
…110001101111101000
32000201111010111120122
4103233220301233220
5321404240011240
613423404142412
71350235455434
oct235750615750
960644114518
1021200313320
118a9a02a1aa
124137b37a08
131ccb27b8c4
1410518979c4
158413194b5
hex4efa31be8

21200313320 has 64 divisors (see below), whose sum is σ = 48637400400. Its totient is φ = 8314490880.

The previous prime is 21200313313. The next prime is 21200313331. The reversal of 21200313320 is 2331300212.

It can be written as a sum of positive squares in 8 ways, for example, as 506340004 + 20693973316 = 22502^2 + 143854^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 759776 + ... + 787184.

Almost surely, 221200313320 is an apocalyptic number.

21200313320 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 21200313320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24318700200).

21200313320 is an abundant number, since it is smaller than the sum of its proper divisors (27437087080).

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

21200313320 is a wasteful number, since it uses less digits than its factorization.

21200313320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27798 (or 27794 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 21200313320 its reverse (2331300212), we get a palindrome (23531613532).

The spelling of 21200313320 in words is "twenty-one billion, two hundred million, three hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 305 317 488 610 634 1220 1268 1585 2440 2536 3170 6340 12680 19337 27409 38674 54818 77348 96685 109636 137045 154696 193370 219272 274090 386740 548180 773480 1096360 1671949 3343898 6687796 8359745 8688653 13375592 16719490 17377306 33438980 34754612 43443265 66877960 69509224 86886530 173773060 347546120 530007833 1060015666 2120031332 2650039165 4240062664 5300078330 10600156660 21200313320