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42100114 = 2722691597
BaseRepresentation
bin1010000010011…
…0010110010010
32221012220111111
42200212112102
541234200424
64102203534
71020562600
oct240462622
987186444
1042100114
1121845491
12121235aa
138950714
14583c870
153a69194
hex2826592

42100114 has 24 divisors (see below), whose sum is σ = 73779660. Its totient is φ = 17964576.

The previous prime is 42100111. The next prime is 42100151. The reversal of 42100114 is 41100124.

It can be written as a sum of positive squares in 2 ways, for example, as 34987225 + 7112889 = 5915^2 + 2667^2 .

It is a junction number, because it is equal to n+sod(n) for n = 42100094 and 42100103.

It is not an unprimeable number, because it can be changed into a prime (42100111) 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, 25564 + ... + 27160.

Almost surely, 242100114 is an apocalyptic number.

42100114 is a deficient number, since it is larger than the sum of its proper divisors (31679546).

42100114 is a wasteful number, since it uses less digits than its factorization.

42100114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1882 (or 1875 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 42100114 is about 6488.4600638364. The cubic root of 42100114 is about 347.8786349590.

Adding to 42100114 its reverse (41100124), we get a palindrome (83200238).

The spelling of 42100114 in words is "forty-two million, one hundred thousand, one hundred fourteen".

Divisors: 1 2 7 14 49 98 269 538 1597 1883 3194 3766 11179 13181 22358 26362 78253 156506 429593 859186 3007151 6014302 21050057 42100114