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12131350 = 25271123137
BaseRepresentation
bin101110010001…
…110000010110
3211211100002021
4232101300112
511101200400
61112003354
7205054240
oct56216026
924740067
1012131350
116936510
12409055a
132689a1a
14187b090
1510e971a
hexb91c16

12131350 has 96 divisors (see below), whose sum is σ = 29569536. Its totient is φ = 3590400.

The previous prime is 12131347. The next prime is 12131369. The reversal of 12131350 is 5313121.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88482 + ... + 88618.

It is an arithmetic number, because the mean of its divisors is an integer number (308016).

Almost surely, 212131350 is an apocalyptic number.

12131350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12131350 is an abundant number, since it is smaller than the sum of its proper divisors (17438186).

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

12131350 is a wasteful number, since it uses less digits than its factorization.

12131350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 12131350 is about 3483.0087568078. The cubic root of 12131350 is about 229.7751425606.

Adding to 12131350 its reverse (5313121), we get a palindrome (17444471).

It can be divided in two parts, 12 and 131350, that multiplied together give a triangular number (1576200 = T1775).

The spelling of 12131350 in words is "twelve million, one hundred thirty-one thousand, three hundred fifty".

Divisors: 1 2 5 7 10 11 14 22 23 25 35 46 50 55 70 77 110 115 137 154 161 175 230 253 274 275 322 350 385 506 550 575 685 770 805 959 1150 1265 1370 1507 1610 1771 1918 1925 2530 3014 3151 3425 3542 3850 4025 4795 6302 6325 6850 7535 8050 8855 9590 10549 12650 15070 15755 17710 21098 22057 23975 31510 34661 37675 44114 44275 47950 52745 69322 75350 78775 88550 105490 110285 157550 173305 220570 242627 263725 346610 485254 527450 551425 866525 1102850 1213135 1733050 2426270 6065675 12131350