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12233023320 = 2335726335531
BaseRepresentation
bin10110110010010010…
…10001111101011000
31011120112120222020210
423121021101331120
5200023123221240
65341512051120
7612100661010
oct133111217530
934515528223
1012233023320
11520824a531
122454993aa0
1311cc511c4b
14840958c40
154b8e4e780
hex2d9251f58

12233023320 has 128 divisors (see below), whose sum is σ = 41965309440. Its totient is φ = 2794552320.

The previous prime is 12233023307. The next prime is 12233023337. The reversal of 12233023320 is 2332033221.

12233023320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2208955 + ... + 2214485.

It is an arithmetic number, because the mean of its divisors is an integer number (327853980).

Almost surely, 212233023320 is an apocalyptic number.

12233023320 is a gapful number since it is divisible by the number (10) 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 12233023320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20982654720).

12233023320 is an abundant number, since it is smaller than the sum of its proper divisors (29732286120).

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

12233023320 is a wasteful number, since it uses less digits than its factorization.

12233023320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8185 (or 8181 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 12233023320 its reverse (2332033221), we get a palindrome (14565056541).

Subtracting from 12233023320 its reverse (2332033221), we obtain a palindrome (9900990099).

The spelling of 12233023320 in words is "twelve billion, two hundred thirty-three million, twenty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 2633 5266 5531 7899 10532 11062 13165 15798 16593 18431 21064 22124 26330 27655 31596 33186 36862 38717 39495 44248 52660 55293 55310 63192 66372 73724 77434 78990 82965 92155 105320 110586 110620 116151 132744 147448 154868 157980 165930 184310 193585 221172 221240 232302 276465 309736 315960 331860 368620 387170 442344 464604 552930 580755 663720 737240 774340 929208 1105860 1161510 1548680 2211720 2323020 4646040 14563123 29126246 43689369 58252492 72815615 87378738 101941861 116504984 145631230 174757476 203883722 218446845 291262460 305825583 349514952 407767444 436893690 509709305 582524920 611651166 815534888 873787380 1019418610 1223302332 1529127915 1747574760 2038837220 2446604664 3058255830 4077674440 6116511660 12233023320