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13125252245140 = 2257415938756429
BaseRepresentation
bin1011111011111111010111…
…1111110110011010010100
31201110202120101200211121201
42332333311333312122110
53210021004033321030
643525354014522244
72523160662204010
oct276776577663224
951422511624551
1013125252245140
11420042a799382
12157b918506384
1374292404b939
143353a0b31540
1517b6407bd2ca
hexbeff5ff6694

13125252245140 has 96 divisors (see below), whose sum is σ = 32815844409600. Its totient is φ = 4315915822080.

The previous prime is 13125252245137. The next prime is 13125252245213. The reversal of 13125252245140 is 4154225252131.

It is a super-2 number, since 2×131252522451402 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13125252245140.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19039555 + ... + 19716874.

It is an arithmetic number, because the mean of its divisors is an integer number (341831712600).

Almost surely, 213125252245140 is an apocalyptic number.

13125252245140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13125252245140 is an abundant number, since it is smaller than the sum of its proper divisors (19690592164460).

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

13125252245140 is a wasteful number, since it uses less digits than its factorization.

13125252245140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38756545 (or 38756543 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 37.

Adding to 13125252245140 its reverse (4154225252131), we get a palindrome (17279477497271).

The spelling of 13125252245140 in words is "thirteen trillion, one hundred twenty-five billion, two hundred fifty-two million, two hundred forty-five thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 59 70 82 118 140 164 205 236 287 295 410 413 574 590 820 826 1148 1180 1435 1652 2065 2419 2870 4130 4838 5740 8260 9676 12095 16933 24190 33866 48380 67732 84665 169330 338660 38756429 77512858 155025716 193782145 271295003 387564290 542590006 775128580 1085180012 1356475015 1589013589 2286629311 2712950030 3178027178 4573258622 5425900060 6356054356 7945067945 9146517244 11123095123 11433146555 15890135890 16006405177 22246190246 22866293110 31780271780 32012810354 44492380492 45732586220 55615475615 64025620708 80032025885 93751801751 111230951230 160064051770 187503603502 222461902460 320128103540 375007207004 468759008755 656262612257 937518017510 1312525224514 1875036035020 2625050449028 3281313061285 6562626122570 13125252245140