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131233050 = 232521322433
BaseRepresentation
bin1111101001001…
…11010100011010
3100010221022220100
413310213110122
5232043424200
621004440230
73152314434
oct764472432
9303838810
10131233050
1168094373
1237b49076
132125aac0
1413601654
15b7c3d00
hex7d2751a

131233050 has 72 divisors (see below), whose sum is σ = 379717884. Its totient is φ = 32302080.

The previous prime is 131233031. The next prime is 131233061. The reversal of 131233050 is 50332131.

It can be written as a sum of positive squares in 6 ways, for example, as 52751169 + 78481881 = 7263^2 + 8859^2 .

It is a super-2 number, since 2×1312330502 = 34444226824605000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5367 + ... + 17066.

Almost surely, 2131233050 is an apocalyptic number.

131233050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131233050 is an abundant number, since it is smaller than the sum of its proper divisors (248484834).

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

131233050 is a wasteful number, since it uses less digits than its factorization.

131233050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22464 (or 22456 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 131233050 is about 11455.6994548565. The cubic root of 131233050 is about 508.1763007440.

Adding to 131233050 its reverse (50332131), we get a palindrome (181565181).

The spelling of 131233050 in words is "one hundred thirty-one million, two hundred thirty-three thousand, fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 39 45 50 65 75 78 90 117 130 150 195 225 234 325 390 450 585 650 975 1170 1950 2925 5850 22433 44866 67299 112165 134598 201897 224330 291629 336495 403794 560825 583258 672990 874887 1009485 1121650 1458145 1682475 1749774 2018970 2624661 2916290 3364950 4374435 5047425 5249322 7290725 8748870 10094850 13123305 14581450 21872175 26246610 43744350 65616525 131233050