Search a number
-
+
2123131100 = 2252311016781
BaseRepresentation
bin111111010001100…
…0110100011011100
312110222001020100012
41332203012203130
513322010143400
6550402022352
7103420213406
oct17643064334
95428036305
102123131100
1199a4a7902
124b30479b8
1327ab294bc
14161d8bb76
15c65d5d35
hex7e8c68dc

2123131100 has 72 divisors (see below), whose sum is σ = 4803609216. Its totient is φ = 813600000.

The previous prime is 2123131099. The next prime is 2123131133. The reversal of 2123131100 is 11313212.

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, 309710 + ... + 316490.

Almost surely, 22123131100 is an apocalyptic number.

2123131100 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 2123131100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2401804608).

2123131100 is an abundant number, since it is smaller than the sum of its proper divisors (2680478116).

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

2123131100 is a wasteful number, since it uses less digits than its factorization.

2123131100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6927 (or 6920 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 2123131100 is about 46077.4467608612. The cubic root of 2123131100 is about 1285.2637853191.

Adding to 2123131100 its reverse (11313212), we get a palindrome (2134444312).

The spelling of 2123131100 in words is "two billion, one hundred twenty-three million, one hundred thirty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 101 124 155 202 310 404 505 620 775 1010 1550 2020 2525 3100 3131 5050 6262 6781 10100 12524 13562 15655 27124 31310 33905 62620 67810 78275 135620 156550 169525 210211 313100 339050 420422 678100 684881 840844 1051055 1369762 2102110 2739524 3424405 4204220 5255275 6848810 10510550 13697620 17122025 21021100 21231311 34244050 42462622 68488100 84925244 106156555 212313110 424626220 530782775 1061565550 2123131100