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2042313300 = 2232522269237
BaseRepresentation
bin111100110111011…
…0011101001010100
312021022222021011100
41321232303221110
513140313011200
6534353510100
7101416243116
oct17156635124
95238867140
102042313300
11958918235
1248bb72330
13267170b11
141553513b6
15be46ed00
hex79bb3a54

2042313300 has 54 divisors (see below), whose sum is σ = 6401520398. Its totient is φ = 544616640.

The previous prime is 2042313283. The next prime is 2042313311. The reversal of 2042313300 is 33132402.

It can be written as a sum of positive squares in 3 ways, for example, as 390378564 + 1651934736 = 19758^2 + 40644^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1133719 + ... + 1135518.

Almost surely, 22042313300 is an apocalyptic number.

2042313300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2042313300 is an abundant number, since it is smaller than the sum of its proper divisors (4359207098).

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

2042313300 is a wasteful number, since it uses less digits than its factorization.

2042313300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2269257 (or 2269247 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2042313300 is about 45191.9605682250. The cubic root of 2042313300 is about 1268.7443517750.

Adding to 2042313300 its reverse (33132402), we get a palindrome (2075445702).

The spelling of 2042313300 in words is "two billion, forty-two million, three hundred thirteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 2269237 4538474 6807711 9076948 11346185 13615422 20423133 22692370 27230844 34038555 40846266 45384740 56730925 68077110 81692532 102115665 113461850 136154220 170192775 204231330 226923700 340385550 408462660 510578325 680771100 1021156650 2042313300