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313130142 = 232132373797
BaseRepresentation
bin10010101010011…
…111110010011110
3210211012122210200
4102222133302132
51120130131032
651023244330
710521363603
oct2252376236
9724178720
10313130142
11150832346
1288a496a6
134cb47310
142d8306aa
151c75447c
hex12a9fc9e

313130142 has 96 divisors (see below), whose sum is σ = 773817408. Its totient is φ = 90782208.

The previous prime is 313130113. The next prime is 313130159. The reversal of 313130142 is 241031313.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 392488 + ... + 393284.

It is an arithmetic number, because the mean of its divisors is an integer number (8060598).

Almost surely, 2313130142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313130142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386908704).

313130142 is an abundant number, since it is smaller than the sum of its proper divisors (460687266).

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

313130142 is a wasteful number, since it uses less digits than its factorization.

313130142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 313130142 is about 17695.4836610927. The cubic root of 313130142 is about 679.0602228522.

Adding to 313130142 its reverse (241031313), we get a palindrome (554161455).

The spelling of 313130142 in words is "three hundred thirteen million, one hundred thirty thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 13 18 23 26 39 46 69 73 78 117 138 146 207 219 234 299 414 438 598 657 797 897 949 1314 1594 1679 1794 1898 2391 2691 2847 3358 4782 5037 5382 5694 7173 8541 10074 10361 14346 15111 17082 18331 20722 21827 30222 31083 36662 43654 54993 58181 62166 65481 93249 109986 116362 130962 164979 174543 186498 196443 238303 329958 349086 392886 476606 523629 714909 756353 1047258 1338163 1429818 1512706 2144727 2269059 2676326 4014489 4289454 4538118 6807177 8028978 12043467 13614354 17396119 24086934 34792238 52188357 104376714 156565071 313130142