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12310302000 = 243538923053
BaseRepresentation
bin10110111011100000…
…00100110100110000
31011202221000010200010
423131300010310300
5200202414131000
65353312254520
7614026561203
oct133560046460
934687003603
1012310302000
115247932107
122476841440
13121252b789
1484ad1393a
154c0b16d50
hex2ddc04d30

12310302000 has 160 divisors (see below), whose sum is σ = 40136091840. Its totient is φ = 3245721600.

The previous prime is 12310301923. The next prime is 12310302031. The reversal of 12310302000 is 20301321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 522474 + ... + 545526.

It is an arithmetic number, because the mean of its divisors is an integer number (250850574).

Almost surely, 212310302000 is an apocalyptic number.

12310302000 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 12310302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20068045920).

12310302000 is an abundant number, since it is smaller than the sum of its proper divisors (27825789840).

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

12310302000 is a wasteful number, since it uses less digits than its factorization.

12310302000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23168 (or 23152 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 12310302000 its reverse (20301321), we get a palindrome (12330603321).

The spelling of 12310302000 in words is "twelve billion, three hundred ten million, three hundred two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 89 100 120 125 150 178 200 240 250 267 300 356 375 400 445 500 534 600 712 750 890 1000 1068 1200 1335 1424 1500 1780 2000 2136 2225 2670 3000 3560 4272 4450 5340 6000 6675 7120 8900 10680 11125 13350 17800 21360 22250 23053 26700 33375 35600 44500 46106 53400 66750 69159 89000 92212 106800 115265 133500 138318 178000 184424 230530 267000 276636 345795 368848 461060 534000 553272 576325 691590 922120 1106544 1152650 1383180 1728975 1844240 2051717 2305300 2766360 2881625 3457950 4103434 4610600 5532720 5763250 6155151 6915900 8206868 8644875 9221200 10258585 11526500 12310302 13831800 16413736 17289750 20517170 23053000 24620604 27663600 30775755 32827472 34579500 41034340 46106000 49241208 51292925 61551510 69159000 82068680 98482416 102585850 123103020 138318000 153878775 164137360 205171700 246206040 256464625 307757550 410343400 492412080 512929250 615515100 769393875 820686800 1025858500 1231030200 1538787750 2051717000 2462060400 3077575500 4103434000 6155151000 12310302000