Search a number
-
+
312230303100 = 22345238546951
BaseRepresentation
bin1001000101100100110…
…00000101010101111100
31002211220212101210120000
410202302120011111330
520103421424144400
6355234150554300
731362233533602
oct4426230052574
91084825353500
10312230303100
11110463959011
1250619368990
132359b8ca651
141117d58d872
1581c6272600
hex48b260557c

312230303100 has 90 divisors (see below), whose sum is σ = 1012127318664. Its totient is φ = 83261412000.

The previous prime is 312230303057. The next prime is 312230303111. The reversal of 312230303100 is 1303032213.

312230303100 is a `hidden beast` number, since 31 + 2 + 230 + 303 + 100 = 666.

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×3122303031002 (a number of 24 digits) 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 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 29 ways as a sum of consecutive naturals, for example, 19265376 + ... + 19281575.

Almost surely, 2312230303100 is an apocalyptic number.

312230303100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312230303100 is an abundant number, since it is smaller than the sum of its proper divisors (699897015564).

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

312230303100 is a wasteful number, since it uses less digits than its factorization.

312230303100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38546977 (or 38546961 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 312230303100 its reverse (1303032213), we get a palindrome (313533335313).

The spelling of 312230303100 in words is "three hundred twelve billion, two hundred thirty million, three hundred three thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 270 300 324 405 450 540 675 810 900 1350 1620 2025 2700 4050 8100 38546951 77093902 115640853 154187804 192734755 231281706 346922559 385469510 462563412 578204265 693845118 770939020 963673775 1040767677 1156408530 1387690236 1734612795 1927347550 2081535354 2312817060 2891021325 3122303031 3469225590 3854695100 4163070708 5203838385 5782042650 6244606062 6938451180 8673063975 10407676770 11564085300 12489212124 15611515155 17346127950 20815353540 26019191925 31223030310 34692255900 52038383850 62446060620 78057575775 104076767700 156115151550 312230303100