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2131312200 = 233524382609
BaseRepresentation
bin111111100001001…
…0011111001001000
312111112102212200220
41333002103321020
513331103442300
6551253230040
7103546566123
oct17702237110
95445385626
102131312200
119a4085446
124b5932320
1327c7321a4
141630bb3ba
15c719eda0
hex7f093e48

2131312200 has 96 divisors (see below), whose sum is σ = 6760802400. Its totient is φ = 555125760.

The previous prime is 2131312163. The next prime is 2131312223. The reversal of 2131312200 is 22131312.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2131312200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15505 + ... + 67104.

It is an arithmetic number, because the mean of its divisors is an integer number (70425025).

Almost surely, 22131312200 is an apocalyptic number.

2131312200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2131312200 is an abundant number, since it is smaller than the sum of its proper divisors (4629490200).

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

2131312200 is a wasteful number, since it uses less digits than its factorization.

2131312200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82671 (or 82662 counting only the distinct ones).

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

The square root of 2131312200 is about 46166.1369404025. The cubic root of 2131312200 is about 1286.9125129422.

Adding to 2131312200 its reverse (22131312), we get a palindrome (2153443512).

The spelling of 2131312200 in words is "two billion, one hundred thirty-one million, three hundred twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 43 50 60 75 86 100 120 129 150 172 200 215 258 300 344 430 516 600 645 860 1032 1075 1290 1720 2150 2580 3225 4300 5160 6450 8600 12900 25800 82609 165218 247827 330436 413045 495654 660872 826090 991308 1239135 1652180 1982616 2065225 2478270 3304360 3552187 4130450 4956540 6195675 7104374 8260900 9913080 10656561 12391350 14208748 16521800 17760935 21313122 24782700 28417496 35521870 42626244 49565400 53282805 71043740 85252488 88804675 106565610 142087480 177609350 213131220 266414025 355218700 426262440 532828050 710437400 1065656100 2131312200