Search a number
-
+
102132043011 = 32181227327583
BaseRepresentation
bin101111100011110001…
…0110100110100000011
3100202121202110100102200
41133013202310310003
53133131300334021
6114530244044243
710243633020225
oct1370742646403
9322552410380
10102132043011
113a34a96a619
1217963993683
13982843945b
144d2c28c415
1529cb4d1126
hex17c78b4d03

102132043011 has 24 divisors (see below), whose sum is σ = 148409753856. Its totient is φ = 67679608320.

The previous prime is 102132043003. The next prime is 102132043021. The reversal of 102132043011 is 110340231201.

102132043011 is a `hidden beast` number, since 1 + 0 + 213 + 20 + 430 + 1 + 1 = 666.

It is not a de Polignac number, because 102132043011 - 23 = 102132043003 is a prime.

It is a super-2 number, since 2×1021320430112 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102132043001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3688926 + ... + 3716508.

It is an arithmetic number, because the mean of its divisors is an integer number (6183739744).

Almost surely, 2102132043011 is an apocalyptic number.

102132043011 is a deficient number, since it is larger than the sum of its proper divisors (46277710845).

102132043011 is a wasteful number, since it uses less digits than its factorization.

102132043011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30043 (or 30040 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102132043011 its reverse (110340231201), we get a palindrome (212472274212).

The spelling of 102132043011 in words is "one hundred two billion, one hundred thirty-two million, forty-three thousand, eleven".

Divisors: 1 3 9 181 543 1629 2273 6819 20457 27583 82749 248247 411413 1234239 3702717 4992523 14977569 44932707 62696159 188088477 564265431 11348004779 34044014337 102132043011