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106141122 = 23219330553
BaseRepresentation
bin1100101001110…
…01010111000010
321101201112020200
412110321113002
5204133003442
614310550030
72426120223
oct624712702
9241645220
10106141122
1154a0643a
122b668316
1318cb3ac9
141014d24a
1594b934c
hex65395c2

106141122 has 24 divisors (see below), whose sum is σ = 231171564. Its totient is φ = 35195904.

The previous prime is 106141121. The next prime is 106141151. The reversal of 106141122 is 221141601.

It can be written as a sum of positive squares in 2 ways, for example, as 96648561 + 9492561 = 9831^2 + 3081^2 .

It is a super-2 number, since 2×1061411222 = 22531875558837768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 106141095 and 106141104.

It is not an unprimeable number, because it can be changed into a prime (106141121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11803 + ... + 18750.

Almost surely, 2106141122 is an apocalyptic number.

106141122 is an abundant number, since it is smaller than the sum of its proper divisors (125030442).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106141122 is a wasteful number, since it uses less digits than its factorization.

106141122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30754 (or 30751 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 106141122 is about 10302.4813515968. The cubic root of 106141122 is about 473.4722802864.

Adding to 106141122 its reverse (221141601), we get a palindrome (327282723).

The spelling of 106141122 in words is "one hundred six million, one hundred forty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 193 386 579 1158 1737 3474 30553 61106 91659 183318 274977 549954 5896729 11793458 17690187 35380374 53070561 106141122