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21123332320 = 2551753146527
BaseRepresentation
bin10011101011000011…
…000111100011100000
32000112010021110111111
4103223003013203200
5321230033113240
613412014153104
71345312235146
oct235303074340
960463243444
1021123332320
118a5a630242
1241161b2794
131cb833770c
141045579596
158396b01ea
hex4eb0c78e0

21123332320 has 96 divisors (see below), whose sum is σ = 53836731648. Its totient is φ = 7802216448.

The previous prime is 21123332317. The next prime is 21123332369. The reversal of 21123332320 is 2323332112.

It is a junction number, because it is equal to n+sod(n) for n = 21123332291 and 21123332300.

It is a congruent number.

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, 70897 + ... + 217423.

It is an arithmetic number, because the mean of its divisors is an integer number (560799288).

Almost surely, 221123332320 is an apocalyptic number.

21123332320 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 21123332320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26918365824).

21123332320 is an abundant number, since it is smaller than the sum of its proper divisors (32713399328).

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

21123332320 is a wasteful number, since it uses less digits than its factorization.

21123332320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146612 (or 146604 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 21123332320 its reverse (2323332112), we get a palindrome (23446664432).

The spelling of 21123332320 in words is "twenty-one billion, one hundred twenty-three million, three hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 53 68 80 85 106 136 160 170 212 265 272 340 424 530 544 680 848 901 1060 1360 1696 1802 2120 2720 3604 4240 4505 7208 8480 9010 14416 18020 28832 36040 72080 144160 146527 293054 586108 732635 1172216 1465270 2344432 2490959 2930540 4688864 4981918 5861080 7765931 9963836 11722160 12454795 15531862 19927672 23444320 24909590 31063724 38829655 39855344 49819180 62127448 77659310 79710688 99638360 124254896 132020827 155318620 199276720 248509792 264041654 310637240 398553440 528083308 621274480 660104135 1056166616 1242548960 1320208270 2112333232 2640416540 4224666464 5280833080 10561666160 21123332320