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313325550 = 233522310091
BaseRepresentation
bin10010101011001…
…111011111101110
3210211120120212000
4102223033133232
51120202404200
651031353130
710523136366
oct2253173756
9724516760
10313325550
1115095613a
1288b227a6
134cbb5245
142d8819a6
151c792300
hex12acf7ee

313325550 has 96 divisors (see below), whose sum is σ = 901013760. Its totient is φ = 79912800.

The previous prime is 313325549. The next prime is 313325591. The reversal of 313325550 is 55523313.

313325550 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26005 + ... + 36095.

It is an arithmetic number, because the mean of its divisors is an integer number (9385560).

Almost surely, 2313325550 is an apocalyptic number.

313325550 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 313325550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450506880).

313325550 is an abundant number, since it is smaller than the sum of its proper divisors (587688210).

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

313325550 is a wasteful number, since it uses less digits than its factorization.

313325550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10135 (or 10124 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 27.

The square root of 313325550 is about 17701.0042088013. The cubic root of 313325550 is about 679.2014486977.

Adding to 313325550 its reverse (55523313), we get a palindrome (368848863).

The spelling of 313325550 in words is "three hundred thirteen million, three hundred twenty-five thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 23 25 27 30 45 46 50 54 69 75 90 115 135 138 150 207 225 230 270 345 414 450 575 621 675 690 1035 1150 1242 1350 1725 2070 3105 3450 5175 6210 10091 10350 15525 20182 30273 31050 50455 60546 90819 100910 151365 181638 232093 252275 272457 302730 454095 464186 504550 544914 696279 756825 908190 1160465 1362285 1392558 1513650 2088837 2270475 2320930 2724570 3481395 4177674 4540950 5802325 6266511 6811425 6962790 10444185 11604650 12533022 13622850 17406975 20888370 31332555 34813950 52220925 62665110 104441850 156662775 313325550