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2042130200 = 2352114321587
BaseRepresentation
bin111100110111000…
…0110111100011000
312021022121221222212
41321232012330120
513140241131300
6534345534252
7101414551235
oct17156067430
95238557885
102042130200
11958802710
1248baa4388
13267108686
1415530478c
15be435935
hex79b86f18

2042130200 has 96 divisors (see below), whose sum is σ = 5300285760. Its totient is φ = 725289600.

The previous prime is 2042130197. The next prime is 2042130247. The reversal of 2042130200 is 20312402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83807 + ... + 105393.

It is an arithmetic number, because the mean of its divisors is an integer number (55211310).

Almost surely, 22042130200 is an apocalyptic number.

2042130200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2042130200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2650142880).

2042130200 is an abundant number, since it is smaller than the sum of its proper divisors (3258155560).

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

2042130200 is a wasteful number, since it uses less digits than its factorization.

2042130200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21657 (or 21648 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2042130200 is about 45189.9347200237. The cubic root of 2042130200 is about 1268.7064349622.

Adding to 2042130200 its reverse (20312402), we get a palindrome (2062442602).

The spelling of 2042130200 in words is "two billion, forty-two million, one hundred thirty thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 43 44 50 55 86 88 100 110 172 200 215 220 275 344 430 440 473 550 860 946 1075 1100 1720 1892 2150 2200 2365 3784 4300 4730 8600 9460 11825 18920 21587 23650 43174 47300 86348 94600 107935 172696 215870 237457 431740 474914 539675 863480 928241 949828 1079350 1187285 1856482 1899656 2158700 2374570 3712964 4317400 4641205 4749140 5936425 7425928 9282410 9498280 10210651 11872850 18564820 20421302 23206025 23745700 37129640 40842604 46412050 47491400 51053255 81685208 92824100 102106510 185648200 204213020 255266275 408426040 510532550 1021065100 2042130200