Search a number
-
+
10713424122 = 2332924128387
BaseRepresentation
bin10011111101001000…
…11110000011111010
31000122122012100001000
421332210132003322
5133420114032442
64531025505430
7526326413442
oct117644360372
930578170030
1010713424122
1145a84a3125
1220abaa2276
131019749b1b
14738bd3122
1542a832d4c
hex27e91e0fa

10713424122 has 64 divisors (see below), whose sum is σ = 24731625600. Its totient is φ = 3433570560.

The previous prime is 10713424121. The next prime is 10713424147. The reversal of 10713424122 is 22142431701.

10713424122 is a `hidden beast` number, since 107 + 13 + 424 + 122 = 666.

It is a super-2 number, since 2×107134241222 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10713424121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 363213 + ... + 391599.

It is an arithmetic number, because the mean of its divisors is an integer number (386431650).

Almost surely, 210713424122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10713424122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12365812800).

10713424122 is an abundant number, since it is smaller than the sum of its proper divisors (14018201478).

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

10713424122 is a wasteful number, since it uses less digits than its factorization.

10713424122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28668 (or 28662 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 10713424122 its reverse (22142431701), we get a palindrome (32855855823).

The spelling of 10713424122 in words is "ten billion, seven hundred thirteen million, four hundred twenty-four thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 174 241 261 482 522 723 783 1446 1566 2169 4338 6507 6989 13014 13978 20967 28387 41934 56774 62901 85161 125802 170322 188703 255483 377406 510966 766449 823223 1532898 1646446 2469669 4939338 6841267 7409007 13682534 14818014 20523801 22227021 41047602 44454042 61571403 123142806 184714209 198396743 369428418 396793486 595190229 1190380458 1785570687 3571141374 5356712061 10713424122