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12302031300 = 223521317185551
BaseRepresentation
bin10110111010100001…
…00001100111000100
31011202100102221101220
423131100201213010
5200143310000200
65352415120340
7613566353316
oct133520414704
934670387356
1012302031300
1152431a3219
122473b130b0
1312108c4080
14849b9d7b6
154c00314a0
hex2dd4219c4

12302031300 has 144 divisors (see below), whose sum is σ = 40586902272. Its totient is φ = 2850048000.

The previous prime is 12302031277. The next prime is 12302031307. The reversal of 12302031300 is 313020321.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12302031300.

It is not an unprimeable number, because it can be changed into a prime (12302031307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26476 + ... + 159075.

It is an arithmetic number, because the mean of its divisors is an integer number (281853488).

Almost surely, 212302031300 is an apocalyptic number.

12302031300 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 12302031300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20293451136).

12302031300 is an abundant number, since it is smaller than the sum of its proper divisors (28284870972).

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

12302031300 is a wasteful number, since it uses less digits than its factorization.

12302031300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185598 (or 185591 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 12302031300 its reverse (313020321), we get a palindrome (12615051621).

The spelling of 12302031300 in words is "twelve billion, three hundred two million, thirty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 17 20 25 26 30 34 39 50 51 52 60 65 68 75 78 85 100 102 130 150 156 170 195 204 221 255 260 300 325 340 390 425 442 510 650 663 780 850 884 975 1020 1105 1275 1300 1326 1700 1950 2210 2550 2652 3315 3900 4420 5100 5525 6630 11050 13260 16575 22100 33150 66300 185551 371102 556653 742204 927755 1113306 1855510 2226612 2412163 2783265 3154367 3711020 4638775 4824326 5566530 6308734 7236489 9277550 9463101 9648652 11133060 12060815 12617468 13916325 14472978 15771835 18555100 18926202 24121630 27832650 28945956 31543670 36182445 37852404 41006771 47315505 48243260 55665300 60304075 63087340 72364890 78859175 82013542 94631010 120608150 123020313 144729780 157718350 164027084 180912225 189262020 205033855 236577525 241216300 246040626 315436700 361824450 410067710 473155050 492081252 615101565 723648900 820135420 946310100 1025169275 1230203130 2050338550 2460406260 3075507825 4100677100 6151015650 12302031300