Search a number
-
+
2002131132 = 223657125391
BaseRepresentation
bin111011101010110…
…0001100010111100
312011112100210120220
41313111201202330
513100021144012
6530400341340
7100420556001
oct16725414274
95145323526
102002131132
11938172831
1247a614850
1325ba423a1
1414dc918a8
15bab8408c
hex775618bc

2002131132 has 24 divisors (see below), whose sum is σ = 4672534272. Its totient is φ = 667249200.

The previous prime is 2002131083. The next prime is 2002131143. The reversal of 2002131132 is 2311312002.

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 7 ways as a sum of consecutive naturals, for example, 66157 + ... + 91547.

It is an arithmetic number, because the mean of its divisors is an integer number (194688928).

Almost surely, 22002131132 is an apocalyptic number.

It is an amenable number.

2002131132 is an abundant number, since it is smaller than the sum of its proper divisors (2670403140).

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

2002131132 is a wasteful number, since it uses less digits than its factorization.

2002131132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31969 (or 31967 counting only the distinct ones).

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

The square root of 2002131132 is about 44745.1799862287. The cubic root of 2002131132 is about 1260.3684007164.

Adding to 2002131132 its reverse (2311312002), we get a palindrome (4313443134).

The spelling of 2002131132 in words is "two billion, two million, one hundred thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 6571 13142 19713 25391 26284 39426 50782 76173 78852 101564 152346 304692 166844261 333688522 500532783 667377044 1001065566 2002131132