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2132131300 = 2252136732437
BaseRepresentation
bin111111100010101…
…1011110111100100
312111120222111021221
41333011123313210
513331311200200
6551322550124
7103556550145
oct17705336744
95446874257
102132131300
119a4594892
124b6068344
1327c95ac70
14163251acc
15c72b291a
hex7f15bde4

2132131300 has 72 divisors (see below), whose sum is σ = 4992078056. Its totient is φ = 785756160.

The previous prime is 2132131289. The next prime is 2132131333. The reversal of 2132131300 is 31312312.

It can be written as a sum of positive squares in 12 ways, for example, as 577248676 + 1554882624 = 24026^2 + 39432^2 .

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, 873682 + ... + 876118.

Almost surely, 22132131300 is an apocalyptic number.

2132131300 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 2132131300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2496039028).

2132131300 is an abundant number, since it is smaller than the sum of its proper divisors (2859946756).

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

2132131300 is a wasteful number, since it uses less digits than its factorization.

2132131300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3137 (or 3130 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 2132131300 is about 46175.0073091494. The cubic root of 2132131300 is about 1287.0773527110.

Adding to 2132131300 its reverse (31312312), we get a palindrome (2163443612).

The spelling of 2132131300 in words is "two billion, one hundred thirty-two million, one hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 673 1300 1346 2437 2692 3365 4874 6730 8749 9748 12185 13460 16825 17498 24370 31681 33650 34996 43745 48740 60925 63362 67300 87490 121850 126724 158405 174980 218725 243700 316810 437450 633620 792025 874900 1584050 1640101 3168100 3280202 6560404 8200505 16401010 21321313 32802020 41002525 42642626 82005050 85285252 106606565 164010100 213213130 426426260 533032825 1066065650 2132131300