Search a number
-
+
313030200 = 23352774531
BaseRepresentation
bin10010101010000…
…111011000111000
3210211000120201010
4102222013120320
51120113431300
651021153520
710520466330
oct2252073070
9724016633
10313030200
1115077424a
12889bb8a0
134cb10992
142d8060c0
151c734a50
hex12a87638

313030200 has 96 divisors (see below), whose sum is σ = 1109036160. Its totient is φ = 71548800.

The previous prime is 313030183. The next prime is 313030247. The reversal of 313030200 is 2030313.

It is a happy number.

It is a super-2 number, since 2×3130302002 = 195975812224080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33066 + ... + 41465.

It is an arithmetic number, because the mean of its divisors is an integer number (11552460).

Almost surely, 2313030200 is an apocalyptic number.

313030200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313030200 is an abundant number, since it is smaller than the sum of its proper divisors (796005960).

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

313030200 is a wasteful number, since it uses less digits than its factorization.

313030200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74557 (or 74548 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 313030200 is about 17692.6594948301. The cubic root of 313030200 is about 678.9879697649.

Adding to 313030200 its reverse (2030313), we get a palindrome (315060513).

The spelling of 313030200 in words is "three hundred thirteen million, thirty thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 140 150 168 175 200 210 280 300 350 420 525 600 700 840 1050 1400 2100 4200 74531 149062 223593 298124 372655 447186 521717 596248 745310 894372 1043434 1117965 1490620 1565151 1788744 1863275 2086868 2235930 2608585 2981240 3130302 3726550 4173736 4471860 5217170 5589825 6260604 7453100 7825755 8943720 10434340 11179650 12521208 13042925 14906200 15651510 20868680 22359300 26085850 31303020 39128775 44718600 52171700 62606040 78257550 104343400 156515100 313030200