Search a number
-
+
2132032113 = 32538950221
BaseRepresentation
bin111111100010100…
…0011101001110001
312111120210110020100
41333011003221301
513331300011423
6551320503013
7103555655031
oct17705035161
95446713210
102132032113
119a4527312
124b601aa69
1327c924a83
141632278c1
15c7293343
hex7f143a71

2132032113 has 24 divisors (see below), whose sum is σ = 3173025960. Its totient is φ = 1378840320.

The previous prime is 2132032109. The next prime is 2132032117. The reversal of 2132032113 is 3112302312.

2132032113 is a `hidden beast` number, since 21 + 320 + 321 + 1 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (2132032109) and next prime (2132032117).

It can be written as a sum of positive squares in 4 ways, for example, as 42810849 + 2089221264 = 6543^2 + 45708^2 .

It is not a de Polignac number, because 2132032113 - 22 = 2132032109 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2132032117) 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 23 ways as a sum of consecutive naturals, for example, 17343 + ... + 67563.

It is an arithmetic number, because the mean of its divisors is an integer number (132209415).

Almost surely, 22132032113 is an apocalyptic number.

It is an amenable number.

2132032113 is a deficient number, since it is larger than the sum of its proper divisors (1040993847).

2132032113 is a wasteful number, since it uses less digits than its factorization.

2132032113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50369 (or 50366 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2132032113 is about 46173.9332632601. The cubic root of 2132032113 is about 1287.0573940713.

Adding to 2132032113 its reverse (3112302312), we get a palindrome (5244334425).

The spelling of 2132032113 in words is "two billion, one hundred thirty-two million, thirty-two thousand, one hundred thirteen".

Divisors: 1 3 9 53 89 159 267 477 801 4717 14151 42453 50221 150663 451989 2661713 4469669 7985139 13409007 23955417 40227021 236892457 710677371 2132032113