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111000021 = 31117241821
BaseRepresentation
bin1101001110110…
…11100111010101
321201212101101220
412213123213111
5211404000041
615003040553
72515325136
oct647334725
9251771356
10111000021
1157724a60
1231210159
1319cc55b2
1410a55c8d
159b28d66
hex69db9d5

111000021 has 32 divisors (see below), whose sum is σ = 171870336. Its totient is φ = 62976000.

The previous prime is 111000007. The next prime is 111000031. The reversal of 111000021 is 120000111.

It is not a de Polignac number, because 111000021 - 25 = 110999989 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 110999973 and 111000009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111000031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134791 + ... + 135611.

It is an arithmetic number, because the mean of its divisors is an integer number (5370948).

Almost surely, 2111000021 is an apocalyptic number.

111000021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

111000021 is a deficient number, since it is larger than the sum of its proper divisors (60870315).

111000021 is a wasteful number, since it uses less digits than its factorization.

111000021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093.

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 111000021 is about 10535.6547494686. The cubic root of 111000021 is about 480.5895836780.

Adding to 111000021 its reverse (120000111), we get a palindrome (231000132).

The spelling of 111000021 in words is "one hundred eleven million, twenty-one", and thus it is an aban number.

Divisors: 1 3 11 17 33 51 187 241 561 723 821 2463 2651 4097 7953 9031 12291 13957 27093 41871 45067 135201 153527 197861 460581 593583 2176471 3363637 6529413 10090911 37000007 111000021