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13121876040 = 23357131201637
BaseRepresentation
bin11000011100001111…
…11111000001001000
31020212111010100221220
430032013333001020
5203333200013130
610010023202040
7643113051240
oct141607770110
936774110856
1013121876040
115623a58759
1226625a6320
1313117047c0
148c6a12b20
1551bec8410
hex30e1ff048

13121876040 has 128 divisors (see below), whose sum is σ = 48450044160. Its totient is φ = 2768569344.

The previous prime is 13121876039. The next prime is 13121876057. The reversal of 13121876040 is 4067812131.

It is a junction number, because it is equal to n+sod(n) for n = 13121875992 and 13121876010.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 589899 + ... + 611738.

It is an arithmetic number, because the mean of its divisors is an integer number (378515970).

Almost surely, 213121876040 is an apocalyptic number.

13121876040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13121876040 is an abundant number, since it is smaller than the sum of its proper divisors (35328168120).

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

13121876040 is a wasteful number, since it uses less digits than its factorization.

13121876040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1201671 (or 1201667 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The spelling of 13121876040 in words is "thirteen billion, one hundred twenty-one million, eight hundred seventy-six thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 20 21 24 26 28 30 35 39 40 42 52 56 60 65 70 78 84 91 104 105 120 130 140 156 168 182 195 210 260 273 280 312 364 390 420 455 520 546 728 780 840 910 1092 1365 1560 1820 2184 2730 3640 5460 10920 1201637 2403274 3604911 4806548 6008185 7209822 8411459 9613096 12016370 14419644 15621281 16822918 18024555 24032740 25234377 28839288 31242562 33645836 36049110 42057295 46863843 48065480 50468754 62485124 67291672 72098220 78106405 84114590 93727686 100937508 109348967 124970248 126171885 144196440 156212810 168229180 187455372 201875016 218697934 234319215 252343770 312425620 328046901 336458360 374910744 437395868 468638430 504687540 546744835 624851240 656093802 874791736 937276860 1009375080 1093489670 1312187604 1640234505 1874553720 2186979340 2624375208 3280469010 4373958680 6560938020 13121876040