Search a number
-
+
2132113333 = 72432101233
BaseRepresentation
bin111111100010101…
…0111011110110101
312111120221120122111
41333011113132311
513331310111313
6551322331021
7103556443600
oct17705273665
95446846574
102132113333
119a4582339
124b6059a71
1327c952a2c
14163249337
15c72ac43d
hex7f1577b5

2132113333 has 36 divisors (see below), whose sum is σ = 2575381068. Its totient is φ = 1759766400.

The previous prime is 2132113307. The next prime is 2132113337. The reversal of 2132113333 is 3333112312.

It can be written as a sum of positive squares in 2 ways, for example, as 1348505284 + 783608049 = 36722^2 + 27993^2 .

It is not a de Polignac number, because 2132113333 - 25 = 2132113301 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132113337) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9150585 + ... + 9150817.

It is an arithmetic number, because the mean of its divisors is an integer number (71538363).

Almost surely, 22132113333 is an apocalyptic number.

It is an amenable number.

2132113333 is a deficient number, since it is larger than the sum of its proper divisors (443267735).

2132113333 is a wasteful number, since it uses less digits than its factorization.

2132113333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 384 counting only the distinct ones).

The product of its digits is 972, while the sum is 22.

The square root of 2132113333 is about 46174.8127554406. The cubic root of 2132113333 is about 1287.0737373952.

Adding to 2132113333 its reverse (3333112312), we get a palindrome (5465225645).

The spelling of 2132113333 in words is "two billion, one hundred thirty-two million, one hundred thirteen thousand, three hundred thirty-three".

Divisors: 1 7 43 49 101 233 301 707 1631 1849 2107 4343 4949 10019 11417 12943 23533 30401 70133 90601 164731 186749 212807 430817 490931 1011919 1153117 1307243 3015719 7083433 9150701 21110033 43512517 49584031 304587619 2132113333