Search a number
-
+
21123330320 = 2454347130649
BaseRepresentation
bin10011101011000011…
…000111000100010000
32000112010021100202102
4103223003013010100
5321230033032240
613412014135532
71345312226261
oct235303070420
960463240672
1021123330320
118a5a629794
1241161b15a8
131cb8336831
141045578968
158396ae815
hex4eb0c7110

21123330320 has 80 divisors (see below), whose sum is σ = 51323500800. Its totient is φ = 8077181952.

The previous prime is 21123330317. The next prime is 21123330337. The reversal of 21123330320 is 2303332112.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 21123330292 and 21123330301.

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, 96356 + ... + 227004.

It is an arithmetic number, because the mean of its divisors is an integer number (641543760).

Almost surely, 221123330320 is an apocalyptic number.

21123330320 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 21123330320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25661750400).

21123330320 is an abundant number, since it is smaller than the sum of its proper divisors (30200170480).

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

21123330320 is a wasteful number, since it uses less digits than its factorization.

21123330320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130752 (or 130746 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 21123330320 its reverse (2303332112), we get a palindrome (23426662432).

The spelling of 21123330320 in words is "twenty-one billion, one hundred twenty-three million, three hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 43 47 80 86 94 172 188 215 235 344 376 430 470 688 752 860 940 1720 1880 2021 3440 3760 4042 8084 10105 16168 20210 32336 40420 80840 130649 161680 261298 522596 653245 1045192 1306490 2090384 2612980 5225960 5617907 6140503 10451920 11235814 12281006 22471628 24562012 28089535 30702515 44943256 49124024 56179070 61405030 89886512 98248048 112358140 122810060 224716280 245620120 264041629 449432560 491240240 528083258 1056166516 1320208145 2112333032 2640416290 4224666064 5280832580 10561665160 21123330320