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2102203131 = 37239418849
BaseRepresentation
bin111110101001101…
…0001001011111011
312102111122222120020
41331103101023323
513301131000011
6544333301523
7103044301050
oct17523211373
95374588506
102102203131
11989703366
124a80348a3
132766ac8a2
1415d2a1027
15c4850006
hex7d4d12fb

2102203131 has 16 divisors (see below), whose sum is σ = 3216768000. Its totient is φ = 1196229888.

The previous prime is 2102203091. The next prime is 2102203139. The reversal of 2102203131 is 1313022012.

It is not a de Polignac number, because 2102203131 - 26 = 2102203067 is a prime.

It is a super-2 number, since 2×21022031312 = 8838516007972406322, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2102203131.

It is not an unprimeable number, because it can be changed into a prime (2102203139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204406 + ... + 214443.

It is an arithmetic number, because the mean of its divisors is an integer number (201048000).

Almost surely, 22102203131 is an apocalyptic number.

2102203131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2102203131 is a deficient number, since it is larger than the sum of its proper divisors (1114564869).

2102203131 is a wasteful number, since it uses less digits than its factorization.

2102203131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419098.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2102203131 is about 45849.7887781394. The cubic root of 2102203131 is about 1281.0268312762.

Adding to 2102203131 its reverse (1313022012), we get a palindrome (3415225143).

The spelling of 2102203131 in words is "two billion, one hundred two million, two hundred three thousand, one hundred thirty-one".

Divisors: 1 3 7 21 239 717 1673 5019 418849 1256547 2931943 8795829 100104911 300314733 700734377 2102203131