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132022002511125 = 3253117352891121
BaseRepresentation
bin11110000001001011000100…
…100011111110110100010101
3122022110011212100110111211100
4132001023010203332310111
5114301022030120324000
61144442023133100313
736544163203364346
oct3601130443766425
9568404770414740
10132022002511125
113908024267a301
12129828b9627699
13588881033a4bc
142485c82c840cd
15103e2ddeeda00
hex7812c48fed15

132022002511125 has 24 divisors (see below), whose sum is σ = 237991663195416. Its totient is φ = 70411734672000.

The previous prime is 132022002511099. The next prime is 132022002511127. The reversal of 132022002511125 is 521115200220231.

132022002511125 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 2 + 20 + 0 + 2 + 511 + 125 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2383420331889 + 129638582179236 = 1543833^2 + 11385894^2 .

It is not a de Polignac number, because 132022002511125 - 216 = 132022002445589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132022002511127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58676444436 + ... + 58676446685.

It is an arithmetic number, because the mean of its divisors is an integer number (9916319299809).

Almost surely, 2132022002511125 is an apocalyptic number.

132022002511125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132022002511125 is a deficient number, since it is larger than the sum of its proper divisors (105969660684291).

132022002511125 is a wasteful number, since it uses less digits than its factorization.

132022002511125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117352891142 (or 117352891129 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 132022002511125 its reverse (521115200220231), we get a palindrome (653137202731356).

The spelling of 132022002511125 in words is "one hundred thirty-two trillion, twenty-two billion, two million, five hundred eleven thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 1125 117352891121 352058673363 586764455605 1056176020089 1760293366815 2933822278025 5280880100445 8801466834075 14669111390125 26404400502225 44007334170375 132022002511125