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2113430200 = 235274732119
BaseRepresentation
bin111110111111000…
…0110001010111000
312110021210101012121
41331332012022320
513312014231300
6545414051024
7103241601040
oct17576061270
95407711177
102113430200
11994a81432
124ab949a74
13278b10b1b
14160984720
15c581b81a
hex7df862b8

2113430200 has 96 divisors (see below), whose sum is σ = 5735347200. Its totient is φ = 709165440.

The previous prime is 2113430197. The next prime is 2113430243. The reversal of 2113430200 is 20343112.

It is a happy number.

It is a congruent number.

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, 49741 + ... + 81859.

It is an arithmetic number, because the mean of its divisors is an integer number (59743200).

Almost surely, 22113430200 is an apocalyptic number.

2113430200 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 2113430200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2867673600).

2113430200 is an abundant number, since it is smaller than the sum of its proper divisors (3621917000).

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

2113430200 is a wasteful number, since it uses less digits than its factorization.

2113430200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32189 (or 32180 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2113430200 is about 45972.0589053830. The cubic root of 2113430200 is about 1283.3032762211.

Adding to 2113430200 its reverse (20343112), we get a palindrome (2133773312).

The spelling of 2113430200 in words is "two billion, one hundred thirteen million, four hundred thirty thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 47 50 56 70 94 100 140 175 188 200 235 280 329 350 376 470 658 700 940 1175 1316 1400 1645 1880 2350 2632 3290 4700 6580 8225 9400 13160 16450 32119 32900 64238 65800 128476 160595 224833 256952 321190 449666 642380 802975 899332 1124165 1284760 1509593 1605950 1798664 2248330 3019186 3211900 4496660 5620825 6038372 6423800 7547965 8993320 10567151 11241650 12076744 15095930 21134302 22483300 30191860 37739825 42268604 44966600 52835755 60383720 75479650 84537208 105671510 150959300 211343020 264178775 301918600 422686040 528357550 1056715100 2113430200