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2131224100 = 225261349381
BaseRepresentation
bin111111100000111…
…1110011000100100
312111112021101211221
41333001332120210
513331043132400
6551251310124
7103546051225
oct17701763044
95445241757
102131224100
119a4025235
124b58ab344
1327c701065
1416309724c
15c7183c1a
hex7f07e624

2131224100 has 36 divisors (see below), whose sum is σ = 4700585428. Its totient is φ = 838512000.

The previous prime is 2131224097. The next prime is 2131224101. The reversal of 2131224100 is 14221312.

It can be written as a sum of positive squares in 6 ways, for example, as 9884736 + 2121339364 = 3144^2 + 46058^2 .

It is not an unprimeable number, because it can be changed into a prime (2131224101) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 168591 + ... + 180790.

Almost surely, 22131224100 is an apocalyptic number.

2131224100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2131224100 is an abundant number, since it is smaller than the sum of its proper divisors (2569361328).

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

2131224100 is a wasteful number, since it uses less digits than its factorization.

2131224100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349456 (or 349449 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2131224100 is about 46165.1827679692. The cubic root of 2131224100 is about 1286.8947807434.

Adding to 2131224100 its reverse (14221312), we get a palindrome (2145445412).

The spelling of 2131224100 in words is "two billion, one hundred thirty-one million, two hundred twenty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 244 305 610 1220 1525 3050 6100 349381 698762 1397524 1746905 3493810 6987620 8734525 17469050 21312241 34938100 42624482 85248964 106561205 213122410 426244820 532806025 1065612050 2131224100