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21132343320 = 23351119980449
BaseRepresentation
bin10011101011100101…
…011111100000011000
32000112202020021021020
4103223211133200120
5321234334441240
613412535242440
71345451645244
oct235345374030
960482207236
1021132343320
118a64725350
124119219420
131cba17107a
141046843424
1583a3900d0
hex4eb95f818

21132343320 has 128 divisors (see below), whose sum is σ = 69508800000. Its totient is φ = 5097185280.

The previous prime is 21132343319. The next prime is 21132343321. The reversal of 21132343320 is 2334323112.

It is an interprime number because it is at equal distance from previous prime (21132343319) and next prime (21132343321).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21132343321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 222456 + ... + 302904.

It is an arithmetic number, because the mean of its divisors is an integer number (543037500).

Almost surely, 221132343320 is an apocalyptic number.

21132343320 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 21132343320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34754400000).

21132343320 is an abundant number, since it is smaller than the sum of its proper divisors (48376456680).

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

21132343320 is a wasteful number, since it uses less digits than its factorization.

21132343320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80673 (or 80669 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 21132343320 its reverse (2334323112), we get a palindrome (23466666432).

The spelling of 21132343320 in words is "twenty-one billion, one hundred thirty-two million, three hundred forty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 199 220 264 330 398 440 597 660 796 995 1194 1320 1592 1990 2189 2388 2985 3980 4378 4776 5970 6567 7960 8756 10945 11940 13134 17512 21890 23880 26268 32835 43780 52536 65670 80449 87560 131340 160898 241347 262680 321796 402245 482694 643592 804490 884939 965388 1206735 1608980 1769878 1930776 2413470 2654817 3217960 3539756 4424695 4826940 5309634 7079512 8849390 9653880 10619268 13274085 16009351 17698780 21238536 26548170 32018702 35397560 48028053 53096340 64037404 80046755 96056106 106192680 128074808 160093510 176102861 192112212 240140265 320187020 352205722 384224424 480280530 528308583 640374040 704411444 880514305 960561060 1056617166 1408822888 1761028610 1921122120 2113234332 2641542915 3522057220 4226468664 5283085830 7044114440 10566171660 21132343320