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104242011210 = 2355325713171
BaseRepresentation
bin110000100010101001…
…1101101110001001010
3100222001210201211200000
41201011103231301022
53201441423324320
6115515500023430
710350133322061
oct1410523556112
9328053654600
10104242011210
1140232996997
1218252531b76
139aa360754c
14508c5b11d8
152aa1866c90
hex18454edc4a

104242011210 has 96 divisors (see below), whose sum is σ = 281174991552. Its totient is φ = 27787224960.

The previous prime is 104242011163. The next prime is 104242011229. The reversal of 104242011210 is 12110242401.

104242011210 is a `hidden beast` number, since 1 + 0 + 424 + 20 + 11 + 210 = 666.

It is a super-2 number, since 2×1042420112102 (a number of 23 digits) contains 22 as substring.

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

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 47 ways as a sum of consecutive naturals, for example, 7907925 + ... + 7921095.

It is an arithmetic number, because the mean of its divisors is an integer number (2928906162).

Almost surely, 2104242011210 is an apocalyptic number.

104242011210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 104242011210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140587495776).

104242011210 is an abundant number, since it is smaller than the sum of its proper divisors (176932980342).

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

104242011210 is a wasteful number, since it uses less digits than its factorization.

104242011210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16450 (or 16438 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 104242011210 its reverse (12110242401), we get a palindrome (116352253611).

The spelling of 104242011210 in words is "one hundred four billion, two hundred forty-two million, eleven thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 810 1215 2430 3257 6514 9771 13171 16285 19542 26342 29313 32570 39513 48855 58626 65855 79026 87939 97710 118539 131710 146565 175878 197565 237078 263817 293130 355617 395130 439695 527634 592695 711234 791451 879390 1066851 1185390 1319085 1582902 1778085 2133702 2638170 3200553 3556170 3957255 5334255 6401106 7914510 10668510 16002765 32005530 42897947 85795894 128693841 214489735 257387682 386081523 428979470 643469205 772163046 1158244569 1286938410 1930407615 2316489138 3474733707 3860815230 5791222845 6949467414 10424201121 11582445690 17373668535 20848402242 34747337070 52121005605 104242011210