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111023121 = 31131412647
BaseRepresentation
bin1101001111000…
…01010000010001
321201220120002110
412213201100101
5211410214441
615003335533
72515452366
oct647412021
9251816073
10111023121
1157740350
12312215a9
131a002c71
1410a6046d
159b30b16
hex69e1411

111023121 has 32 divisors (see below), whose sum is σ = 170827776. Its totient is φ = 63504000.

The previous prime is 111023117. The next prime is 111023131. The reversal of 111023121 is 121320111.

It is not a de Polignac number, because 111023121 - 22 = 111023117 is a prime.

It is a super-2 number, since 2×1110231212 = 24652266793161282, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 111023097 and 111023106.

It is not an unprimeable number, because it can be changed into a prime (111023131) 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, 40620 + ... + 43266.

It is an arithmetic number, because the mean of its divisors is an integer number (5338368).

Almost surely, 2111023121 is an apocalyptic number.

111023121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

111023121 is a deficient number, since it is larger than the sum of its proper divisors (59804655).

111023121 is a wasteful number, since it uses less digits than its factorization.

111023121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2733.

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 111023121 is about 10536.7509698199. The cubic root of 111023121 is about 480.6229195556.

Adding to 111023121 its reverse (121320111), we get a palindrome (232343232).

The spelling of 111023121 in words is "one hundred eleven million, twenty-three thousand, one hundred twenty-one".

Divisors: 1 3 11 31 33 41 93 123 341 451 1023 1271 1353 2647 3813 7941 13981 29117 41943 82057 87351 108527 246171 325581 902627 1193797 2707881 3364337 3581391 10093011 37007707 111023121