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231330023100 = 2232521123366669
BaseRepresentation
bin1101011101110001011…
…0000000011010111100
3211010002210020202120100
43113130112000122330
512242230441214400
6254134353121100
722466400516141
oct3273426003274
9733083222510
10231330023100
118a119849280
12389bbb59190
1318a78101897
14b2a70243c8
15603dc1e100
hex35dc5806bc

231330023100 has 108 divisors (see below), whose sum is σ = 791008512840. Its totient is φ = 56080003200.

The previous prime is 231330023083. The next prime is 231330023117. The reversal of 231330023100 is 1320033132.

231330023100 is a `hidden beast` number, since 23 + 1 + 330 + 0 + 2 + 310 + 0 = 666.

231330023100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (231330023083) and next prime (231330023117).

It is a super-2 number, since 2×2313300231002 (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 (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11673435 + ... + 11693234.

Almost surely, 2231330023100 is an apocalyptic number.

231330023100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231330023100 is an abundant number, since it is smaller than the sum of its proper divisors (559678489740).

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

231330023100 is a wasteful number, since it uses less digits than its factorization.

231330023100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23366700 (or 23366690 counting only the distinct ones).

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

Adding to 231330023100 its reverse (1320033132), we get a palindrome (232650056232).

The spelling of 231330023100 in words is "two hundred thirty-one billion, three hundred thirty million, twenty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 30 33 36 44 45 50 55 60 66 75 90 99 100 110 132 150 165 180 198 220 225 275 300 330 396 450 495 550 660 825 900 990 1100 1650 1980 2475 3300 4950 9900 23366669 46733338 70100007 93466676 116833345 140200014 210300021 233666690 257033359 280400028 350500035 420600042 467333380 514066718 584166725 701000070 771100077 841200084 1028133436 1051500105 1168333450 1285166795 1402000140 1542200154 1752500175 2103000210 2313300231 2336666900 2570333590 3084400308 3505000350 3855500385 4206000420 4626600462 5140667180 5257500525 6425833975 7010000700 7711000770 9253200924 10515001050 11566501155 12851667950 15422001540 19277501925 21030002100 23133002310 25703335900 38555003850 46266004620 57832505775 77110007700 115665011550 231330023100