Search a number
-
+
2132032023 = 34116413733
BaseRepresentation
bin111111100010100…
…0011101000010111
312111120210110010000
41333011003220113
513331300011043
6551320502343
7103555654542
oct17705035027
95446713100
102132032023
119a4527240
124b601a9b3
1327c924a14
14163227859
15c72932d3
hex7f143a17

2132032023 has 40 divisors (see below), whose sum is σ = 3480775056. Its totient is φ = 1289779200.

The previous prime is 2132032003. The next prime is 2132032027. The reversal of 2132032023 is 3202302312.

It is a happy number.

2132032023 is a `hidden beast` number, since 2 + 1 + 320 + 320 + 23 = 666.

It is not a de Polignac number, because 2132032023 - 28 = 2132031767 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2132031987 and 2132032005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132032027) 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 39 ways as a sum of consecutive naturals, for example, 569265 + ... + 572997.

Almost surely, 22132032023 is an apocalyptic number.

2132032023 is a deficient number, since it is larger than the sum of its proper divisors (1348743033).

2132032023 is a wasteful number, since it uses less digits than its factorization.

2132032023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4397 (or 4388 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2132032023 is about 46173.9322886843. The cubic root of 2132032023 is about 1287.0573759610.

Adding to 2132032023 its reverse (3202302312), we get a palindrome (5334334335).

The spelling of 2132032023 in words is "two billion, one hundred thirty-two million, thirty-two thousand, twenty-three".

Divisors: 1 3 9 11 27 33 81 99 297 641 891 1923 3733 5769 7051 11199 17307 21153 33597 41063 51921 63459 100791 123189 190377 302373 369567 571131 1108701 2392853 3326103 7178559 21535677 26321383 64607031 78964149 193821093 236892447 710677341 2132032023