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42103100 = 225213139233
BaseRepresentation
bin1010000010011…
…1000100111100
32221020001121002
42200213010330
541234244400
64102225432
71020604364
oct240470474
987201532
1042103100
1121847756
1212125278
138951ba0
14583d9a4
153a69ed5
hex282713c

42103100 has 72 divisors (see below), whose sum is σ = 99524880. Its totient is φ = 15367680.

The previous prime is 42103093. The next prime is 42103123. The reversal of 42103100 is 130124.

It is a happy number.

It is a super-2 number, since 2×421031002 = 3545342059220000, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 180584 + ... + 180816.

It is an arithmetic number, because the mean of its divisors is an integer number (1382290).

Almost surely, 242103100 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 42103100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49762440).

42103100 is an abundant number, since it is smaller than the sum of its proper divisors (57421780).

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

42103100 is a wasteful number, since it uses less digits than its factorization.

42103100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 42103100 is about 6488.6901605794. The cubic root of 42103100 is about 347.8868593314.

Adding to 42103100 its reverse (130124), we get a palindrome (42233224).

The spelling of 42103100 in words is "forty-two million, one hundred three thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 139 233 260 278 325 466 556 650 695 932 1165 1300 1390 1807 2330 2780 3029 3475 3614 4660 5825 6058 6950 7228 9035 11650 12116 13900 15145 18070 23300 30290 32387 36140 45175 60580 64774 75725 90350 129548 151450 161935 180700 302900 323870 421031 647740 809675 842062 1619350 1684124 2105155 3238700 4210310 8420620 10525775 21051550 42103100