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12311414150 = 2527267179419
BaseRepresentation
bin10110111011101000…
…10100010110000110
31011210000002122020212
423131310110112012
5200203210223100
65353352155422
7614042202500
oct133564242606
934700078225
1012311414150
115248521742
122477098b72
13121282aa59
1484b122d70
154c0c86635
hex2ddd14586

12311414150 has 144 divisors (see below), whose sum is σ = 27251380800. Its totient is φ = 4124957760.

The previous prime is 12311414147. The next prime is 12311414189. The reversal of 12311414150 is 5141411321.

12311414150 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29382641 + ... + 29383059.

It is an arithmetic number, because the mean of its divisors is an integer number (189245700).

Almost surely, 212311414150 is an apocalyptic number.

12311414150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12311414150 is an abundant number, since it is smaller than the sum of its proper divisors (14939966650).

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

12311414150 is a wasteful number, since it uses less digits than its factorization.

12311414150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 23.

Adding to 12311414150 its reverse (5141411321), we get a palindrome (17452825471).

The spelling of 12311414150 in words is "twelve billion, three hundred eleven million, four hundred fourteen thousand, one hundred fifty".

Divisors: 1 2 5 7 10 14 25 35 49 50 67 70 98 134 175 179 245 335 350 358 419 469 490 670 838 895 938 1225 1253 1675 1790 2095 2345 2450 2506 2933 3283 3350 4190 4475 4690 5866 6265 6566 8771 8950 10475 11725 11993 12530 14665 16415 17542 20531 20950 23450 23986 28073 29330 31325 32830 41062 43855 56146 59965 62650 73325 75001 82075 83951 87710 102655 119930 140365 146650 150002 164150 167902 196511 205310 219275 280730 299825 375005 393022 419755 438550 513275 525007 587657 599650 701825 750010 839510 982555 1026550 1050014 1175314 1375577 1403650 1875025 1965110 2098775 2625035 2751154 2938285 3675049 3750050 4197550 4912775 5025067 5250070 5876570 6877885 7350098 9825550 10050134 13125175 13755770 14691425 18375245 25125335 26250350 29382850 34389425 35175469 36750490 50250670 68778850 70350938 91876225 125626675 175877345 183752450 246228283 251253350 351754690 492456566 879386725 1231141415 1758773450 2462282830 6155707075 12311414150