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42100124 = 22111950359
BaseRepresentation
bin1010000010011…
…0010110011100
32221012220111212
42200212112130
541234200444
64102203552
71020562613
oct240462634
987186455
1042100124
11218454a0
12121235b8
138950721
14583c87a
153a6919e
hex282659c

42100124 has 24 divisors (see below), whose sum is σ = 84604800. Its totient is φ = 18128880.

The previous prime is 42100111. The next prime is 42100151.

42100124 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 42100099 and 42100108.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 24344 + ... + 26015.

It is an arithmetic number, because the mean of its divisors is an integer number (3525200).

Almost surely, 242100124 is an apocalyptic number.

42100124 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42100124 is an abundant number, since it is smaller than the sum of its proper divisors (42504676).

42100124 is a wasteful number, since it uses less digits than its factorization.

42100124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50393 (or 50391 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 42100124 is about 6488.4608344352. The cubic root of 42100124 is about 347.8786625027.

It can be divided in two parts, 42100 and 124, that added together give a palindrome (42224).

The spelling of 42100124 in words is "forty-two million, one hundred thousand, one hundred twenty-four".

Divisors: 1 2 4 11 19 22 38 44 76 209 418 836 50359 100718 201436 553949 956821 1107898 1913642 2215796 3827284 10525031 21050062 42100124