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12311333320 = 23511139772203
BaseRepresentation
bin10110111011101000…
…00000100111001000
31011202222221112101011
423131310000213020
5200203200131240
65353350333304
7614041415026
oct133564004710
934688845334
1012311333320
115248476a40
12247705a234
131212800020
1484b101716
154c0c6c6ea
hex2ddd009c8

12311333320 has 128 divisors (see below), whose sum is σ = 32591341440. Its totient is φ = 4126371840.

The previous prime is 12311333299. The next prime is 12311333323. The reversal of 12311333320 is 2333311321.

It is a super-2 number, since 2×123113333202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 12311333291 and 12311333300.

It is not an unprimeable number, because it can be changed into a prime (12311333323) 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, 5587339 + ... + 5589541.

It is an arithmetic number, because the mean of its divisors is an integer number (254619855).

Almost surely, 212311333320 is an apocalyptic number.

12311333320 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 12311333320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16295670720).

12311333320 is an abundant number, since it is smaller than the sum of its proper divisors (20280008120).

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

12311333320 is a wasteful number, since it uses less digits than its factorization.

12311333320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3215 (or 3211 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 12311333320 its reverse (2333311321), we get a palindrome (14644644641).

The spelling of 12311333320 in words is "twelve billion, three hundred eleven million, three hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 130 143 220 260 286 440 520 572 715 977 1144 1430 1954 2203 2860 3908 4406 4885 5720 7816 8812 9770 10747 11015 12701 17624 19540 21494 22030 24233 25402 28639 39080 42988 44060 48466 50804 53735 57278 63505 85976 88120 96932 101608 107470 114556 121165 127010 139711 143195 193864 214940 229112 242330 254020 279422 286390 315029 429880 484660 508040 558844 572780 630058 698555 969320 1117688 1145560 1260116 1397110 1575145 2152331 2520232 2794220 3150290 4304662 5588440 6300580 8609324 10761655 12601160 17218648 21523310 23675641 27980303 43046620 47351282 55960606 86093240 94702564 111921212 118378205 139901515 189405128 223842424 236756410 279803030 307783333 473512820 559606060 615566666 947025640 1119212120 1231133332 1538916665 2462266664 3077833330 6155666660 12311333320