Search a number
-
+
231113142 = 23313401821
BaseRepresentation
bin11011100011010…
…00000110110110
3121002212202122000
431301220012312
5433131110032
634533320130
75504300151
oct1561500666
9532782560
10231113142
111095037a7
1265496046
1338b5bb50
14229a0c98
1515452e7c
hexdc681b6

231113142 has 64 divisors (see below), whose sum is σ = 555145920. Its totient is φ = 70848000.

The previous prime is 231113117. The next prime is 231113143. The reversal of 231113142 is 241311132.

231113142 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2311131422 = 106826568810224328, which contains 22 as substring.

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 (231113143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 281092 + ... + 281912.

It is an arithmetic number, because the mean of its divisors is an integer number (8674155).

Almost surely, 2231113142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231113142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277572960).

231113142 is an abundant number, since it is smaller than the sum of its proper divisors (324032778).

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

231113142 is a wasteful number, since it uses less digits than its factorization.

231113142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1246 (or 1240 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 231113142 is about 15202.4057964521. The cubic root of 231113142 is about 613.6794030598.

Adding to 231113142 its reverse (241311132), we get a palindrome (472424274).

The spelling of 231113142 in words is "two hundred thirty-one million, one hundred thirteen thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 401 702 802 821 1203 1642 2406 2463 3609 4926 5213 7218 7389 10426 10673 10827 14778 15639 21346 21654 22167 31278 32019 44334 46917 64038 93834 96057 140751 192114 281502 288171 329221 576342 658442 987663 1975326 2962989 4279873 5925978 8559746 8888967 12839619 17777934 25679238 38518857 77037714 115556571 231113142