Search a number
-
+
2132112010 = 257488801
BaseRepresentation
bin111111100010101…
…0111001010001010
312111120221111211111
41333011113022022
513331310041020
6551322320534
7103556440000
oct17705271212
95446844744
102132112010
119a4581346
124b605914a
1327c952252
14163248a70
15c72abd5a
hex7f15728a

2132112010 has 40 divisors (see below), whose sum is σ = 4477219236. Its totient is φ = 731001600.

The previous prime is 2132111977. The next prime is 2132112011. The reversal of 2132112010 is 102112312.

It can be written as a sum of positive squares in 2 ways, for example, as 1779911721 + 352200289 = 42189^2 + 18767^2 .

It is not an unprimeable number, because it can be changed into a prime (2132112011) 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 19 ways as a sum of consecutive naturals, for example, 20391 + ... + 68410.

Almost surely, 22132112010 is an apocalyptic number.

2132112010 is an abundant number, since it is smaller than the sum of its proper divisors (2345107226).

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

2132112010 is an frugal number, since it uses more digits than its factorization.

2132112010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88836 (or 88815 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 2132112010 is about 46174.7984294463. The cubic root of 2132112010 is about 1287.0734711806.

Adding to 2132112010 its reverse (102112312), we get a palindrome (2234224322).

The spelling of 2132112010 in words is "two billion, one hundred thirty-two million, one hundred twelve thousand, ten".

Divisors: 1 2 5 7 10 14 35 49 70 98 245 343 490 686 1715 2401 3430 4802 12005 24010 88801 177602 444005 621607 888010 1243214 3108035 4351249 6216070 8702498 21756245 30458743 43512490 60917486 152293715 213211201 304587430 426422402 1066056005 2132112010