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42110012 = 22721811187
BaseRepresentation
bin1010000010100…
…0110000111100
32221020102002002
42200220300330
541240010022
64102321432
71020633500
oct240506074
987212062
1042110012
112185196a
1212129278
138955089
145842300
153a6c092
hex2828c3c

42110012 has 36 divisors (see below), whose sum is σ = 86270184. Its totient is φ = 17932320.

The previous prime is 42109999. The next prime is 42110017. The reversal of 42110012 is 21001124.

It is a super-2 number, since 2×421100122 = 3546506221280288, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42109975 and 42110002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42110017) 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, 34883 + ... + 36069.

It is an arithmetic number, because the mean of its divisors is an integer number (2396394).

Almost surely, 242110012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42110012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43135092).

42110012 is an abundant number, since it is smaller than the sum of its proper divisors (44160172).

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

42110012 is a wasteful number, since it uses less digits than its factorization.

42110012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1386 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 42110012 is about 6489.2227577731. Note that the first 3 decimals coincide. The cubic root of 42110012 is about 347.9058956367.

Adding to 42110012 its reverse (21001124), we get a palindrome (63111136).

The spelling of 42110012 in words is "forty-two million, one hundred ten thousand, twelve".

Divisors: 1 2 4 7 14 28 49 98 181 196 362 724 1187 1267 2374 2534 4748 5068 8309 8869 16618 17738 33236 35476 58163 116326 214847 232652 429694 859388 1503929 3007858 6015716 10527503 21055006 42110012