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12312500700 = 22352471078161
BaseRepresentation
bin10110111011110000…
…11101100111011100
31011210002010211201110
423131320131213130
5200204000010300
65353431342020
7614054346333
oct133570354734
934702124643
1012312500700
1152490a4015
122477521910
131212b1b496
1484b326d1a
154c0ded550
hex2dde1d9dc

12312500700 has 144 divisors (see below), whose sum is σ = 36726649344. Its totient is φ = 3183052800.

The previous prime is 12312500663. The next prime is 12312500731. The reversal of 12312500700 is 700521321.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1504620 + ... + 1512780.

It is an arithmetic number, because the mean of its divisors is an integer number (255046176).

Almost surely, 212312500700 is an apocalyptic number.

12312500700 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 12312500700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18363324672).

12312500700 is an abundant number, since it is smaller than the sum of its proper divisors (24414148644).

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

12312500700 is a wasteful number, since it uses less digits than its factorization.

12312500700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8332 (or 8325 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The spelling of 12312500700 in words is "twelve billion, three hundred twelve million, five hundred thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 47 50 60 75 94 100 107 141 150 188 214 235 282 300 321 428 470 535 564 642 705 940 1070 1175 1284 1410 1605 2140 2350 2675 2820 3210 3525 4700 5029 5350 6420 7050 8025 8161 10058 10700 14100 15087 16050 16322 20116 24483 25145 30174 32100 32644 40805 48966 50290 60348 75435 81610 97932 100580 122415 125725 150870 163220 204025 244830 251450 301740 377175 383567 408050 489660 502900 612075 754350 767134 816100 873227 1150701 1224150 1508700 1534268 1746454 1917835 2301402 2448300 2619681 3492908 3835670 4366135 4602804 5239362 5753505 7671340 8732270 9589175 10478724 11507010 13098405 17464540 19178350 21830675 23014020 26196810 28767525 38356700 41041669 43661350 52393620 57535050 65492025 82083338 87322700 115070100 123125007 130984050 164166676 205208345 246250014 261968100 410416690 492500028 615625035 820833380 1026041725 1231250070 2052083450 2462500140 3078125175 4104166900 6156250350 12312500700