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131023000 = 2353131023
BaseRepresentation
bin1111100111101…
…00000010011000
3100010112122202201
413303310002120
5232020214000
621000135544
73150451153
oct763640230
9303478681
10131023000
1167a60579
1237a675b4
13211b6304
1413588c9a
15b78196a
hex7cf4098

131023000 has 32 divisors (see below), whose sum is σ = 306596160. Its totient is φ = 52408800.

The previous prime is 131022977. The next prime is 131023007. The reversal of 131023000 is 320131.

131023000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131023007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64512 + ... + 66511.

It is an arithmetic number, because the mean of its divisors is an integer number (9581130).

Almost surely, 2131023000 is an apocalyptic number.

131023000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131023000 is an abundant number, since it is smaller than the sum of its proper divisors (175573160).

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

131023000 is a wasteful number, since it uses less digits than its factorization.

131023000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131044 (or 131030 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 131023000 is about 11446.5278578266. The cubic root of 131023000 is about 507.9050290563.

Adding to 131023000 its reverse (320131), we get a palindrome (131343131).

It can be divided in two parts, 1310 and 23000, that added together give a triangular number (24310 = T220).

The spelling of 131023000 in words is "one hundred thirty-one million, twenty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 131023 262046 524092 655115 1048184 1310230 2620460 3275575 5240920 6551150 13102300 16377875 26204600 32755750 65511500 131023000