Search a number
-
+
132100023121 = 11101197603563
BaseRepresentation
bin111101100000111000…
…1100110001101010001
3110121222021111110202221
41323001301212031101
54131020101214441
6140404053541041
712354363445513
oct1730161461521
9417867443687
10132100023121
1151029023630
1221728044781
13c5c2ca0071
14657235dbb3
1536823d28d1
hex1ec1c66351

132100023121 has 16 divisors (see below), whose sum is σ = 146274942528. Its totient is φ = 118298152000.

The previous prime is 132100023101. The next prime is 132100023127. The reversal of 132100023121 is 121320001231.

It is a cyclic number.

It is not a de Polignac number, because 132100023121 - 27 = 132100022993 is a prime.

It is a super-2 number, since 2×1321000231212 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132100023095 and 132100023104.

It is not an unprimeable number, because it can be changed into a prime (132100023127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82915 + ... + 520648.

It is an arithmetic number, because the mean of its divisors is an integer number (9142183908).

Almost surely, 2132100023121 is an apocalyptic number.

132100023121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

132100023121 is a deficient number, since it is larger than the sum of its proper divisors (14174919407).

132100023121 is a wasteful number, since it uses less digits than its factorization.

132100023121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603872.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 132100023121 its reverse (121320001231), we get a palindrome (253420024352).

The spelling of 132100023121 in words is "one hundred thirty-two billion, one hundred million, twenty-three thousand, one hundred twenty-one".

Divisors: 1 11 101 197 1111 2167 19897 218867 603563 6639193 60959863 118901911 670558493 1307921021 12009093011 132100023121