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1032042131 = 23891673019
BaseRepresentation
bin111101100000111…
…011011010010011
32122220222011122122
4331200323122103
54103200322011
6250224124455
734401133121
oct7540733223
92586864578
101032042131
1148a61958a
1224976672b
13135a78823
149b0cc911
15609103db
hex3d83b693

1032042131 has 16 divisors (see below), whose sum is σ = 1095897600. Its totient is φ = 969912768.

The previous prime is 1032042113. The next prime is 1032042149. The reversal of 1032042131 is 1312402301.

It is an interprime number because it is at equal distance from previous prime (1032042113) and next prime (1032042149).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1032042131 is a prime.

It is a super-2 number, since 2×10320421312 = 2130221920318042322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1032042191) 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 15 ways as a sum of consecutive naturals, for example, 340340 + ... + 343358.

It is an arithmetic number, because the mean of its divisors is an integer number (68493600).

Almost surely, 21032042131 is an apocalyptic number.

1032042131 is a deficient number, since it is larger than the sum of its proper divisors (63855469).

1032042131 is a wasteful number, since it uses less digits than its factorization.

1032042131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3298.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 1032042131 is about 32125.4125420982. The cubic root of 1032042131 is about 1010.5686210915.

Adding to 1032042131 its reverse (1312402301), we get a palindrome (2344444432).

The spelling of 1032042131 in words is "one billion, thirty-two million, forty-two thousand, one hundred thirty-one".

Divisors: 1 23 89 167 2047 3019 3841 14863 69437 268691 341849 504173 6179893 11595979 44871397 1032042131