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111111020001 = 33179710324229
BaseRepresentation
bin110011101111010111…
…0111001110111100001
3101121210111222122022000
41213132232321313201
53310023410120001
6123013234434213
711012302041552
oct1473656716741
9347714878260
10111111020001
1143138301963
121964aa32969
13a6297387a7
145540990329
152d54908a86
hex19debb9de1

111111020001 has 64 divisors (see below), whose sum is σ = 177805555200. Its totient is φ = 68325285888.

The previous prime is 111111019979. The next prime is 111111020023. The reversal of 111111020001 is 100020111111.

It is an interprime number because it is at equal distance from previous prime (111111019979) and next prime (111111020023).

It is not a de Polignac number, because 111111020001 - 25 = 111111019969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (111111020051) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4573755 + ... + 4597983.

It is an arithmetic number, because the mean of its divisors is an integer number (2778211800).

Almost surely, 2111111020001 is an apocalyptic number.

It is an amenable number.

111111020001 is a deficient number, since it is larger than the sum of its proper divisors (66694535199).

111111020001 is a wasteful number, since it uses less digits than its factorization.

111111020001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24455 (or 24449 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 111111020001 its reverse (100020111111), we get a palindrome (211131131112).

The spelling of 111111020001 in words is "one hundred eleven billion, one hundred eleven million, twenty thousand, one".

Divisors: 1 3 9 17 27 51 97 103 153 291 309 459 873 927 1649 1751 2619 2781 4947 5253 9991 14841 15759 24229 29973 44523 47277 72687 89919 169847 218061 269757 411893 509541 654183 1235679 1528623 2350213 2495587 3707037 4585869 7050639 7486761 11121111 21151917 22460283 39953621 42424979 63455751 67380849 119860863 127274937 242071939 359582589 381824811 726215817 1078747767 1145474433 2178647451 4115222963 6535942353 12345668889 37037006667 111111020001