Search a number
-
+
112313142 = 2351912163
BaseRepresentation
bin1101011000111…
…00001100110110
321211100002200000
412230130030312
5212223010032
615051132130
72532434364
oct654341466
9254302600
10112313142
1158441587
1231744046
131a3651a6
1410cb8634
159cd7e7c
hex6b1c336

112313142 has 48 divisors (see below), whose sum is σ = 265661760. Its totient is φ = 35464392.

The previous prime is 112313137. The next prime is 112313147. The reversal of 112313142 is 241313211.

It is an interprime number because it is at equal distance from previous prime (112313137) and next prime (112313147).

It is a super-2 number, since 2×1123131422 = 25228483731824328, 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 (112313147) 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, 3153 + ... + 15315.

It is an arithmetic number, because the mean of its divisors is an integer number (5534620).

Almost surely, 2112313142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112313142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132830880).

112313142 is an abundant number, since it is smaller than the sum of its proper divisors (153348618).

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

112313142 is a wasteful number, since it uses less digits than its factorization.

112313142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12199 (or 12187 counting only the distinct ones).

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

The square root of 112313142 is about 10597.7894864920. The cubic root of 112313142 is about 482.4772709814.

Adding to 112313142 its reverse (241313211), we get a palindrome (353626353).

The spelling of 112313142 in words is "one hundred twelve million, three hundred thirteen thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 243 342 486 513 1026 1539 3078 4617 9234 12163 24326 36489 72978 109467 218934 231097 328401 462194 656802 693291 985203 1386582 1970406 2079873 2955609 4159746 5911218 6239619 12479238 18718857 37437714 56156571 112313142