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2031112100 = 225297209393
BaseRepresentation
bin111100100010000…
…0100111110100100
312020112220012000002
41321010010332210
513124431041400
6533313440432
7101222111423
oct17104047644
95215805002
102031112100
11952567646
12488270118
13264a4b5a4
14153a772ba
15bd4aaed5
hex79104fa4

2031112100 has 36 divisors (see below), whose sum is σ = 4452972804. Its totient is φ = 804065280.

The previous prime is 2031112099. The next prime is 2031112177. The reversal of 2031112100 is 12111302.

It can be written as a sum of positive squares in 6 ways, for example, as 21921124 + 2009190976 = 4682^2 + 44824^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94997 + ... + 114396.

It is an arithmetic number, because the mean of its divisors is an integer number (123693689).

Almost surely, 22031112100 is an apocalyptic number.

2031112100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2031112100 is an abundant number, since it is smaller than the sum of its proper divisors (2421860704).

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

2031112100 is a wasteful number, since it uses less digits than its factorization.

2031112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209504 (or 209497 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 2031112100 is about 45067.8610541925. The cubic root of 2031112100 is about 1266.4205947047.

Adding to 2031112100 its reverse (12111302), we get a palindrome (2043223402).

The spelling of 2031112100 in words is "two billion, thirty-one million, one hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 97 100 194 388 485 970 1940 2425 4850 9700 209393 418786 837572 1046965 2093930 4187860 5234825 10469650 20311121 20939300 40622242 81244484 101555605 203111210 406222420 507778025 1015556050 2031112100