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111000020000111 = 112171014999106877
BaseRepresentation
bin11001001111010000110100…
…110000110001110101101111
3112120000111110020121022120222
4121033100310300301311233
5104022111020110000421
61032024412155001555
732244325654335134
oct3117206460616557
9476014406538528
10111000020000111
1132405931586500
121054866a1392bb
1349c2345750488
141d5a602cb258b
15cc7572ac9cab
hex64f434c31d6f

111000020000111 has 48 divisors (see below), whose sum is σ = 130491625320000. Its totient is φ = 94013259648000.

The previous prime is 111000020000101. The next prime is 111000020000117.

It is a happy number.

111000020000111 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 111000020000111 - 230 = 110998946258287 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111000020000117) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1038523805 + ... + 1038630681.

It is an arithmetic number, because the mean of its divisors is an integer number (2718575527500).

Almost surely, 2111000020000111 is an apocalyptic number.

111000020000111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

111000020000111 is a deficient number, since it is larger than the sum of its proper divisors (19491605319889).

111000020000111 is a wasteful number, since it uses less digits than its factorization.

111000020000111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112016 (or 112005 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

The spelling of 111000020000111 in words is "one hundred eleven trillion, twenty million, one hundred eleven", and thus it is an aban number.

Divisors: 1 11 17 101 121 187 1111 1717 2057 4999 12221 18887 54989 84983 106877 207757 504899 604879 934813 1175647 1816909 5553889 8583283 10282943 10794577 12932117 19985999 61092779 94416113 118740347 183507809 219845989 534278123 1038577243 1306143817 2018585899 5877059353 9082728091 22204444889 53962090423 64647652883 99910009001 593582994653 917355537191 1099010099011 6529412941183 10090910909101 111000020000111