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19983131 = 72478677
BaseRepresentation
bin100110000111…
…0101100011011
31101121020200222
41030032230123
520103430011
61552150255
7331565600
oct114165433
941536628
1019983131
1110309693
12683838b
1341a884c
1429226a7
151b4addb
hex130eb1b

19983131 has 12 divisors (see below), whose sum is σ = 23743008. Its totient is φ = 16762032.

The previous prime is 19983107. The next prime is 19983137. The reversal of 19983131 is 13138991.

It is not a de Polignac number, because 19983131 - 210 = 19982107 is a prime.

It is a super-2 number, since 2×199831312 = 798651049126322, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 19983091 and 19983100.

It is not an unprimeable number, because it can be changed into a prime (19983137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2036 + ... + 6641.

It is an arithmetic number, because the mean of its divisors is an integer number (1978584).

Almost surely, 219983131 is an apocalyptic number.

19983131 is a deficient number, since it is larger than the sum of its proper divisors (3759877).

19983131 is an equidigital number, since it uses as much as digits as its factorization.

19983131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8738 (or 8731 counting only the distinct ones).

The product of its digits is 5832, while the sum is 35.

The square root of 19983131 is about 4470.2495456070. The cubic root of 19983131 is about 271.3654243419.

The spelling of 19983131 in words is "nineteen million, nine hundred eighty-three thousand, one hundred thirty-one".

Divisors: 1 7 47 49 329 2303 8677 60739 407819 425173 2854733 19983131