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1382002831 = 11211421511
BaseRepresentation
bin101001001011111…
…1011000010001111
310120022111000111001
41102113323002033
510312243042311
6345045041131
746150554526
oct12227730217
93508430431
101382002831
1164a117200
123269b61a7
13190419b71
14d17894bd
15814dc4c1
hex525fb08f

1382002831 has 6 divisors (see below), whose sum is σ = 1519061096. Its totient is φ = 1256366100.

The previous prime is 1382002789. The next prime is 1382002837.

1382002831 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1382002831 - 29 = 1382002319 is a prime.

It is a super-2 number, since 2×13820028312 = 3819863649784029122, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1382002831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1382002837) 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 5 ways as a sum of consecutive naturals, for example, 5710635 + ... + 5710876.

Almost surely, 21382002831 is an apocalyptic number.

1382002831 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1382002831 is a deficient number, since it is larger than the sum of its proper divisors (137058265).

1382002831 is a wasteful number, since it uses less digits than its factorization.

1382002831 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11421533 (or 11421522 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 1382002831 is about 37175.2986672602. The cubic root of 1382002831 is about 1113.8746260988.

The spelling of 1382002831 in words is "one billion, three hundred eighty-two million, two thousand, eight hundred thirty-one".

Divisors: 1 11 121 11421511 125636621 1382002831