Search a number
-
+
112414221510 = 23531233518779
BaseRepresentation
bin110100010110001101…
…0001110010011000110
3101202011100012010200120
41220230122032103012
53320211020042020
6123350430522410
711056505055063
oct1505432162306
9352140163616
10112414221510
11437469964a8
1219953366406
13a7a6724a46
145625aa5c6a
152dce02c740
hex1a2c68e4c6

112414221510 has 64 divisors (see below), whose sum is σ = 279692974080. Its totient is φ = 28885559040.

The previous prime is 112414221461. The next prime is 112414221529. The reversal of 112414221510 is 15122414211.

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 31 ways as a sum of consecutive naturals, for example, 42700 + ... + 476079.

It is an arithmetic number, because the mean of its divisors is an integer number (4370202720).

Almost surely, 2112414221510 is an apocalyptic number.

112414221510 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 112414221510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139846487040).

112414221510 is an abundant number, since it is smaller than the sum of its proper divisors (167278752570).

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

112414221510 is a wasteful number, since it uses less digits than its factorization.

112414221510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519053.

The product of its (nonzero) digits is 640, while the sum is 24.

Adding to 112414221510 its reverse (15122414211), we get a palindrome (127536635721).

The spelling of 112414221510 in words is "one hundred twelve billion, four hundred fourteen million, two hundred twenty-one thousand, five hundred ten".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 186 233 310 465 466 699 930 1165 1398 2330 3495 6990 7223 14446 21669 36115 43338 72230 108345 216690 518779 1037558 1556337 2593895 3112674 5187790 7781685 15563370 16082149 32164298 48246447 80410745 96492894 120875507 160821490 241232235 241751014 362626521 482464470 604377535 725253042 1208755070 1813132605 3626265210 3747140717 7494281434 11241422151 18735703585 22482844302 37471407170 56207110755 112414221510