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1033141431 = 3727028173
BaseRepresentation
bin111101100101000…
…111110010110111
32200000001000121110
4331211013302313
54103441011211
6250303450103
734413362100
oct7545076267
92600030543
101033141431
114901aa4a3
12249bb6933
13136071cba
149b2d73a7
1560a7aea6
hex3d947cb7

1033141431 has 12 divisors (see below), whose sum is σ = 1602423672. Its totient is φ = 590366448.

The previous prime is 1033141427. The next prime is 1033141457. The reversal of 1033141431 is 1341413301.

It is not a de Polignac number, because 1033141431 - 22 = 1033141427 is a prime.

It is a super-2 number, since 2×10331414312 = 2134762432897455522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1033141398 and 1033141407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1033141231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3513940 + ... + 3514233.

It is an arithmetic number, because the mean of its divisors is an integer number (133535306).

Almost surely, 21033141431 is an apocalyptic number.

1033141431 is a deficient number, since it is larger than the sum of its proper divisors (569282241).

1033141431 is an equidigital number, since it uses as much as digits as its factorization.

1033141431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7028190 (or 7028183 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 1033141431 is about 32142.5174963008. The cubic root of 1033141431 is about 1010.9273027920.

Adding to 1033141431 its reverse (1341413301), we get a palindrome (2374554732).

The spelling of 1033141431 in words is "one billion, thirty-three million, one hundred forty-one thousand, four hundred thirty-one".

Divisors: 1 3 7 21 49 147 7028173 21084519 49197211 147591633 344380477 1033141431