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310114116 = 223313220879
BaseRepresentation
bin10010011110111…
…111011101000100
3210121112102121000
4102132333131010
51113342122431
650434453300
710453632534
oct2236773504
9717472530
10310114116
1114a062364
1287a34230
134c32c5a0
142d2874c4
151c35a9e6
hex127bf744

310114116 has 48 divisors (see below), whose sum is σ = 865849600. Its totient is φ = 95419296.

The previous prime is 310114109. The next prime is 310114117. The reversal of 310114116 is 611411013.

It is a super-2 number, since 2×3101141162 = 192341529884922912, 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 (310114117) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 109036 + ... + 111843.

Almost surely, 2310114116 is an apocalyptic number.

310114116 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

310114116 is an abundant number, since it is smaller than the sum of its proper divisors (555735484).

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

310114116 is a wasteful number, since it uses less digits than its factorization.

310114116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220905 (or 220897 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 310114116 is about 17610.0572401114. The cubic root of 310114116 is about 676.8729807876.

Adding to 310114116 its reverse (611411013), we get a palindrome (921525129).

The spelling of 310114116 in words is "three hundred ten million, one hundred fourteen thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 1404 220879 441758 662637 883516 1325274 1987911 2650548 2871427 3975822 5742854 5963733 7951644 8614281 11485708 11927466 17228562 23854932 25842843 34457124 51685686 77528529 103371372 155057058 310114116