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106111233 = 3231380327
BaseRepresentation
bin1100101001100…
…10000100000001
321101200000020200
412110302010001
5204131024413
614310155413
72425634124
oct624620401
9241600220
10106111233
1154995a38
122b652b69
1318ca3317
14101423bb
1594b0573
hex6532101

106111233 has 12 divisors (see below), whose sum is σ = 158216448. Its totient is φ = 68458680.

The previous prime is 106111217. The next prime is 106111249. The reversal of 106111233 is 332111601.

106111233 is a `hidden beast` number, since 10 + 611 + 12 + 33 = 666.

It is an interprime number because it is at equal distance from previous prime (106111217) and next prime (106111249).

It is not a de Polignac number, because 106111233 - 24 = 106111217 is a prime.

It is a super-2 number, since 2×1061112332 = 22519187537560578, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106111253) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 189885 + ... + 190442.

It is an arithmetic number, because the mean of its divisors is an integer number (13184704).

Almost surely, 2106111233 is an apocalyptic number.

It is an amenable number.

106111233 is a deficient number, since it is larger than the sum of its proper divisors (52105215).

106111233 is a wasteful number, since it uses less digits than its factorization.

106111233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380364 (or 380361 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 106111233 is about 10301.0306765877. The cubic root of 106111233 is about 473.4278333549.

Adding to 106111233 its reverse (332111601), we get a palindrome (438222834).

The spelling of 106111233 in words is "one hundred six million, one hundred eleven thousand, two hundred thirty-three".

Divisors: 1 3 9 31 93 279 380327 1140981 3422943 11790137 35370411 106111233