Search a number
-
+
120324311224110 = 23257190990970197
BaseRepresentation
bin11011010110111100101111…
…110101000000111100101110
3120210000220002010120012121100
4123112330233311000330232
5111232343142133132420
61103524120411543530
734226100413125110
oct3326745765007456
9523026063505540
10120324311224110
1135380287923a64
12115b37a845aba6
13521a6c2b82496
14219da28ca33b0
15dd9da12d0190
hex6d6f2fd40f2e

120324311224110 has 48 divisors (see below), whose sum is σ = 357535096210656. Its totient is φ = 27502699708224.

The previous prime is 120324311224099. The next prime is 120324311224111. The reversal of 120324311224110 is 11422113423021.

120324311224110 is a `hidden beast` number, since 1 + 2 + 0 + 3 + 2 + 431 + 1 + 224 + 1 + 1 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120324311224111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95495484469 + ... + 95495485728.

It is an arithmetic number, because the mean of its divisors is an integer number (7448647837722).

Almost surely, 2120324311224110 is an apocalyptic number.

120324311224110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

120324311224110 is an abundant number, since it is smaller than the sum of its proper divisors (237210784986546).

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

120324311224110 is a wasteful number, since it uses less digits than its factorization.

120324311224110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190990970217 (or 190990970214 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 120324311224110 its reverse (11422113423021), we get a palindrome (131746424647131).

The spelling of 120324311224110 in words is "one hundred twenty trillion, three hundred twenty-four billion, three hundred eleven million, two hundred twenty-four thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 190990970197 381981940394 572972910591 954954850985 1145945821182 1336936791379 1718918731773 1909909701970 2673873582758 2864864552955 3437837463546 4010810374137 5729729105910 6684683956895 8021620748274 8594593658865 12032431122411 13369367913790 17189187317730 20054051870685 24064862244822 40108103741370 60162155612055 120324311224110