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12303711200 = 25521111312373
BaseRepresentation
bin10110111010101101…
…11011101111100000
31011202110121021210102
423131112323233200
5200144222224300
65352515121532
7613616551064
oct133526735740
934673537712
1012303711200
115244140370
1224745a32a8
1312110618b1
1484a0b9aa4
154c02640d5
hex2dd5bbbe0

12303711200 has 144 divisors (see below), whose sum is σ = 33059665296. Its totient is φ = 4434124800.

The previous prime is 12303711083. The next prime is 12303711209. The reversal of 12303711200 is 211730321.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12303711209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 988214 + ... + 1000586.

It is an arithmetic number, because the mean of its divisors is an integer number (229581009).

Almost surely, 212303711200 is an apocalyptic number.

12303711200 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 12303711200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16529832648).

12303711200 is an abundant number, since it is smaller than the sum of its proper divisors (20755954096).

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

12303711200 is a wasteful number, since it uses less digits than its factorization.

12303711200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12517 (or 12504 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The spelling of 12303711200 in words is "twelve billion, three hundred three million, seven hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 113 160 176 200 220 226 275 352 400 440 452 550 565 800 880 904 1100 1130 1243 1760 1808 2200 2260 2486 2825 3616 4400 4520 4972 5650 6215 8800 9040 9944 11300 12373 12430 18080 19888 22600 24746 24860 31075 39776 45200 49492 49720 61865 62150 90400 98984 99440 123730 124300 136103 197968 198880 247460 248600 272206 309325 395936 494920 497200 544412 618650 680515 989840 994400 1088824 1237300 1361030 1398149 1979680 2177648 2474600 2722060 2796298 3402575 4355296 4949200 5444120 5592596 6805150 6990745 9898400 10888240 11185192 13610300 13981490 15379639 21776480 22370384 27220600 27962980 30759278 34953725 44740768 54441200 55925960 61518556 69907450 76898195 108882400 111851920 123037112 139814900 153796390 223703840 246074224 279629800 307592780 384490975 492148448 559259600 615185560 768981950 1118519200 1230371120 1537963900 2460742240 3075927800 6151855600 12303711200