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131233000 = 2353196907
BaseRepresentation
bin1111101001001…
…11010011101000
3100010221022211111
413310213103220
5232043424000
621004440104
73152314333
oct764472350
9303838744
10131233000
1168094328
1237b49034
132125aa82
141360161a
15b7c3cba
hex7d274e8

131233000 has 64 divisors (see below), whose sum is σ = 323294400. Its totient is φ = 49723200.

The previous prime is 131232931. The next prime is 131233027. The reversal of 131233000 is 332131.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15547 + ... + 22453.

It is an arithmetic number, because the mean of its divisors is an integer number (5051475).

Almost surely, 2131233000 is an apocalyptic number.

131233000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161647200).

131233000 is an abundant number, since it is smaller than the sum of its proper divisors (192061400).

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

131233000 is a wasteful number, since it uses less digits than its factorization.

131233000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6947 (or 6933 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 131233000 is about 11455.6972725365. The cubic root of 131233000 is about 508.1762362054.

Adding to 131233000 its reverse (332131), we get a palindrome (131565131).

The spelling of 131233000 in words is "one hundred thirty-one million, two hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 125 152 190 200 250 380 475 500 760 950 1000 1900 2375 3800 4750 6907 9500 13814 19000 27628 34535 55256 69070 131233 138140 172675 262466 276280 345350 524932 656165 690700 863375 1049864 1312330 1381400 1726750 2624660 3280825 3453500 5249320 6561650 6907000 13123300 16404125 26246600 32808250 65616500 131233000