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131000233 = 71347109281
BaseRepresentation
bin1111100111011…
…10011110101001
3100010111111112111
413303232132221
5232014001413
620555442321
73150324610
oct763563651
9303444474
10131000233
1167a45461
1237a563a1
13211a8b40
1413580877
15b779d3d
hex7cee7a9

131000233 has 32 divisors (see below), whose sum is σ = 166763520. Its totient is φ = 100154880.

The previous prime is 131000227. The next prime is 131000251. The reversal of 131000233 is 332000131.

It is a de Polignac number, because none of the positive numbers 2k-131000233 is a prime.

It is a super-2 number, since 2×1310002332 = 34322122092108578, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (131000293) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 466053 + ... + 466333.

It is an arithmetic number, because the mean of its divisors is an integer number (5211360).

Almost surely, 2131000233 is an apocalyptic number.

131000233 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131000233 is a deficient number, since it is larger than the sum of its proper divisors (35763287).

131000233 is a wasteful number, since it uses less digits than its factorization.

131000233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457.

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

The square root of 131000233 is about 11445.5333209073. The cubic root of 131000233 is about 507.8756089198.

Adding to 131000233 its reverse (332000131), we get a palindrome (463000364).

The spelling of 131000233 in words is "one hundred thirty-one million, two hundred thirty-three", and thus it is an aban number.

Divisors: 1 7 13 47 91 109 281 329 611 763 1417 1967 3653 4277 5123 9919 13207 25571 30629 35861 66599 92449 171691 214403 398177 466193 1201837 1439563 2787239 10076941 18714319 131000233