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13412010150 = 23252711387071
BaseRepresentation
bin11000111110110101…
…10000100010100110
31021121201001201010200
430133122300202212
5204431433311100
610054505531330
7653235130260
oct143732604246
937551051120
1013412010150
115762803810
1227237a3b46
131359859aa6
14913378b30
155376d8e00
hex31f6b08a6

13412010150 has 144 divisors (see below), whose sum is σ = 44925124608. Its totient is φ = 2786904000.

The previous prime is 13412010137. The next prime is 13412010151. The reversal of 13412010150 is 5101021431.

13412010150 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13412010151) by changing a digit.

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, 158886 + ... + 228185.

It is an arithmetic number, because the mean of its divisors is an integer number (311980032).

Almost surely, 213412010150 is an apocalyptic number.

13412010150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13412010150 is an abundant number, since it is smaller than the sum of its proper divisors (31513114458).

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

13412010150 is a wasteful number, since it uses less digits than its factorization.

13412010150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387107 (or 387099 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 13412010150 its reverse (5101021431), we get a palindrome (18513031581).

The spelling of 13412010150 in words is "thirteen billion, four hundred twelve million, ten thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 25 30 33 35 42 45 50 55 63 66 70 75 77 90 99 105 110 126 150 154 165 175 198 210 225 231 275 315 330 350 385 450 462 495 525 550 630 693 770 825 990 1050 1155 1386 1575 1650 1925 2310 2475 3150 3465 3850 4950 5775 6930 11550 17325 34650 387071 774142 1161213 1935355 2322426 2709497 3483639 3870710 4257781 5418994 5806065 6967278 8128491 8515562 9676775 11612130 12773343 13547485 16256982 17418195 19353550 21288905 24385473 25546686 27094970 29030325 29804467 34836390 38320029 40642455 42577810 48770946 58060650 59608934 63866715 67737425 76640058 81284910 87090975 89413401 106444525 121927365 127733430 135474850 149022335 174181950 178826802 191600145 203212275 212889050 243854730 268240203 298044670 319333575 383200290 406424550 447067005 536480406 609636825 638667150 745111675 894134010 958000725 1219273650 1341201015 1490223350 1916001450 2235335025 2682402030 4470670050 6706005075 13412010150