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10131012300 = 22352174874079
BaseRepresentation
bin10010110111101101…
…01111101011001100
3222011001021202012210
421123312233223030
5131222014343200
64353142430420
7506025120003
oct113366575314
928131252183
1010131012300
114329768542
121b68a32410
13c55b9b946
146c1707c3a
153e463b650
hex25bdafacc

10131012300 has 144 divisors (see below), whose sum is σ = 31108008960. Its totient is φ = 2536842240.

The previous prime is 10131012277. The next prime is 10131012361. The reversal of 10131012300 is 321013101.

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 47 ways as a sum of consecutive naturals, for example, 2481661 + ... + 2485739.

It is an arithmetic number, because the mean of its divisors is an integer number (216027840).

Almost surely, 210131012300 is an apocalyptic number.

10131012300 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 10131012300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15554004480).

10131012300 is an abundant number, since it is smaller than the sum of its proper divisors (20976996660).

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

10131012300 is a wasteful number, since it uses less digits than its factorization.

10131012300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4600 (or 4593 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 10131012300 its reverse (321013101), we get a palindrome (10452025401).

The spelling of 10131012300 in words is "ten billion, one hundred thirty-one million, twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 487 510 850 974 1020 1275 1461 1700 1948 2435 2550 2922 4079 4870 5100 5844 7305 8158 8279 9740 12175 12237 14610 16316 16558 20395 24350 24474 24837 29220 33116 36525 40790 41395 48700 48948 49674 61185 69343 73050 81580 82790 99348 101975 122370 124185 138686 146100 165580 203950 206975 208029 244740 248370 277372 305925 346715 407900 413950 416058 496740 611850 620925 693430 827900 832116 1040145 1223700 1241850 1386860 1733575 1986473 2080290 2483700 3467150 3972946 4160580 5200725 5959419 6934300 7945892 9932365 10401450 11918838 19864730 20802900 23837676 29797095 33770041 39729460 49661825 59594190 67540082 99323650 101310123 119188380 135080164 148985475 168850205 198647300 202620246 297970950 337700410 405240492 506550615 595941900 675400820 844251025 1013101230 1688502050 2026202460 2532753075 3377004100 5065506150 10131012300