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111020427 = 3272614127
BaseRepresentation
bin1101001111000…
…00100110001011
321201220102101200
412213200212023
5211410123202
615003315243
72515441500
oct647404613
9251812350
10111020427
1157739321
123121bb23
131a00197b
1410a5d4a7
159b2ee1c
hex69e098b

111020427 has 36 divisors (see below), whose sum is σ = 189648576. Its totient is φ = 62385120.

The previous prime is 111020423. The next prime is 111020447. The reversal of 111020427 is 724020111.

It is not a de Polignac number, because 111020427 - 22 = 111020423 is a prime.

It is a super-2 number, since 2×1110204272 = 24651070422524658, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (111020423) 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 35 ways as a sum of consecutive naturals, for example, 24838 + ... + 28964.

It is an arithmetic number, because the mean of its divisors is an integer number (5268016).

Almost surely, 2111020427 is an apocalyptic number.

111020427 is a deficient number, since it is larger than the sum of its proper divisors (78628149).

111020427 is a wasteful number, since it uses less digits than its factorization.

111020427 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4208 (or 4198 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 111020427 is about 10536.6231307758. The cubic root of 111020427 is about 480.6190320512.

Adding to 111020427 its reverse (724020111), we get a palindrome (835040538).

The spelling of 111020427 in words is "one hundred eleven million, twenty thousand, four hundred twenty-seven".

Divisors: 1 3 7 9 21 49 61 63 147 183 427 441 549 1281 2989 3843 4127 8967 12381 26901 28889 37143 86667 202223 251747 260001 606669 755241 1762229 1820007 2265723 5286687 12335603 15860061 37006809 111020427