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10140244125 = 3531147193271
BaseRepresentation
bin10010111000110011…
…11101100010011101
3222011200122202220020
421130121331202131
5131231400303000
64354112342353
7506166436644
oct113431754235
928150582806
1010140244125
1143339a3550
121b6bb449b9
13c57a8196b
146c2a2c35b
153e5361ba0
hex25c67d89d

10140244125 has 128 divisors (see below), whose sum is σ = 18966085632. Its totient is φ = 4769280000.

The previous prime is 10140244123. The next prime is 10140244151. The reversal of 10140244125 is 52144204101.

It is not a de Polignac number, because 10140244125 - 21 = 10140244123 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10140244095 and 10140244104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10140244123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 37417740 + ... + 37418010.

It is an arithmetic number, because the mean of its divisors is an integer number (148172544).

Almost surely, 210140244125 is an apocalyptic number.

10140244125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10140244125 is a deficient number, since it is larger than the sum of its proper divisors (8825841507).

10140244125 is a wasteful number, since it uses less digits than its factorization.

10140244125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 10140244125 its reverse (52144204101), we get a palindrome (62284448226).

The spelling of 10140244125 in words is "ten billion, one hundred forty million, two hundred forty-four thousand, one hundred twenty-five".

Divisors: 1 3 5 11 15 25 33 47 55 75 125 141 165 193 235 271 275 375 517 579 705 813 825 965 1175 1355 1375 1551 2123 2585 2895 2981 3525 4065 4125 4825 5875 6369 6775 7755 8943 9071 10615 12737 12925 14475 14905 17625 20325 24125 27213 31845 33875 38211 38775 44715 45355 52303 53075 63685 64625 72375 74525 99781 101625 136065 140107 156909 159225 191055 193875 223575 226775 261515 265375 299343 318425 372625 420321 498905 575333 680325 700535 784545 796125 955275 1117875 1133875 1307575 1496715 1592125 1725999 2101605 2458241 2494525 2876665 3401625 3502675 3922725 4776375 6537875 7374723 7483575 8629995 10508025 12291205 12472625 14383325 17513375 19613625 27040651 36873615 37417875 43149975 52540125 61456025 71916625 81121953 135203255 184368075 215749875 307280125 405609765 676016275 921840375 2028048825 3380081375 10140244125