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111680019 = 33112316349
BaseRepresentation
bin1101010100000…
…01101000010011
321210010221012000
412222001220103
5212042230034
615025405043
72524156503
oct652015023
9253127160
10111680019
1158049940
1231499783
131a1a2c69
1410b91a03
159c10599
hex6a81a13

111680019 has 32 divisors (see below), whose sum is σ = 188352000. Its totient is φ = 64738080.

The previous prime is 111680017. The next prime is 111680039. The reversal of 111680019 is 910086111.

It is not a de Polignac number, because 111680019 - 21 = 111680017 is a prime.

It is a super-2 number, since 2×1116800192 = 24944853287680722, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 111679974 and 111680001.

It is not an unprimeable number, because it can be changed into a prime (111680017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1344 + ... + 15005.

It is an arithmetic number, because the mean of its divisors is an integer number (5886000).

Almost surely, 2111680019 is an apocalyptic number.

111680019 is a deficient number, since it is larger than the sum of its proper divisors (76671981).

111680019 is a wasteful number, since it uses less digits than its factorization.

111680019 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16392 (or 16386 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 27.

The square root of 111680019 is about 10567.8767498490. The cubic root of 111680019 is about 481.5689675183.

The spelling of 111680019 in words is "one hundred eleven million, six hundred eighty thousand, nineteen".

Divisors: 1 3 9 11 23 27 33 69 99 207 253 297 621 759 2277 6831 16349 49047 147141 179839 376027 441423 539517 1128081 1618551 3384243 4136297 4855653 10152729 12408891 37226673 111680019