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12310333020 = 2234524131531
BaseRepresentation
bin10110111011100000…
…01100011001011100
31011202221001201020000
423131300030121130
5200202421124040
65353313054300
7614030050506
oct133560143134
934687051200
1012310333020
115247953447
122476857390
13121253c92b
1484ad20d76
154c0b21130
hex2ddc0c65c

12310333020 has 120 divisors (see below), whose sum is σ = 38779441008. Its totient is φ = 3269030400.

The previous prime is 12310333019. The next prime is 12310333031. The reversal of 12310333020 is 2033301321.

12310333020 is a `hidden beast` number, since 1 + 2 + 310 + 3 + 330 + 20 = 666.

12310333020 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 12310332984 and 12310333002.

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 39 ways as a sum of consecutive naturals, for example, 374655 + ... + 406185.

Almost surely, 212310333020 is an apocalyptic number.

12310333020 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 12310333020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19389720504).

12310333020 is an abundant number, since it is smaller than the sum of its proper divisors (26469107988).

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

12310333020 is a wasteful number, since it uses less digits than its factorization.

12310333020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31793 (or 31782 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 12310333020 its reverse (2033301321), we get a palindrome (14343634341).

The spelling of 12310333020 in words is "twelve billion, three hundred ten million, three hundred thirty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 241 270 324 405 482 540 723 810 964 1205 1446 1620 2169 2410 2892 3615 4338 4820 6507 7230 8676 10845 13014 14460 19521 21690 26028 31531 32535 39042 43380 63062 65070 78084 94593 97605 126124 130140 157655 189186 195210 283779 315310 378372 390420 472965 567558 630620 851337 945930 1135116 1418895 1702674 1891860 2554011 2837790 3405348 4256685 5108022 5675580 7598971 8513370 10216044 12770055 15197942 17026740 22796913 25540110 30395884 37994855 45593826 51080220 68390739 75989710 91187652 113984565 136781478 151979420 205172217 227969130 273562956 341953695 410344434 455938260 615516651 683907390 820688868 1025861085 1231033302 1367814780 2051722170 2462066604 3077583255 4103444340 6155166510 12310333020