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3200133131 = 13231610829
BaseRepresentation
bin1011111010111110…
…0010100000001011
322021000121121101022
42332233202200023
523023213230011
61245313543055
7142205453126
oct27657424013
98230547338
103200133131
1113a2434428
12753874a8b
133bccb7300
142250213bd
1513ae278db
hexbebe280b

3200133131 has 12 divisors (see below), whose sum is σ = 3577020480. Its totient is φ = 2858675040.

The previous prime is 3200133119. The next prime is 3200133161. The reversal of 3200133131 is 1313310023.

It is not a de Polignac number, because 3200133131 - 218 = 3199870987 is a prime.

It is a super-2 number, since 2×32001331312 = 20481704112247726322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3200133161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 300176 + ... + 310653.

It is an arithmetic number, because the mean of its divisors is an integer number (298085040).

Almost surely, 23200133131 is an apocalyptic number.

3200133131 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

3200133131 is a deficient number, since it is larger than the sum of its proper divisors (376887349).

3200133131 is a wasteful number, since it uses less digits than its factorization.

3200133131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610886 (or 610873 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

The square root of 3200133131 is about 56569.7192055962. The cubic root of 3200133131 is about 1473.6330349560.

Adding to 3200133131 its reverse (1313310023), we get a palindrome (4513443154).

The spelling of 3200133131 in words is "three billion, two hundred million, one hundred thirty-three thousand, one hundred thirty-one".

Divisors: 1 13 31 169 403 5239 610829 7940777 18935699 103230101 246164087 3200133131