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132024144110013 = 3243226572985949
BaseRepresentation
bin11110000001001101000100…
…001101100010000110111101
3122022110101101121021000012200
4132001031010031202012331
5114301040421343010023
61144443015435022113
736544300236566031
oct3601150415420675
9568411347230180
10132024144110013
1139081141540241
12129831b689a939
135888a91c3188c
14248600747c1c1
15103e3b7031743
hex7813443621bd

132024144110013 has 36 divisors (see below), whose sum is σ = 195313145355900. Its totient is φ = 85936825594368.

The previous prime is 132024144110011. The next prime is 132024144110051. The reversal of 132024144110013 is 310011441420231.

It is a happy number.

132024144110013 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 241 + 4 + 411 + 0 + 0 + 1 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 58393637914329 + 73630506195684 = 7641573^2 + 8580822^2 .

It is not a de Polignac number, because 132024144110013 - 21 = 132024144110011 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132024144110011) 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, 42722163 + ... + 45708111.

It is an arithmetic number, because the mean of its divisors is an integer number (5425365148775).

Almost surely, 2132024144110013 is an apocalyptic number.

It is an amenable number.

132024144110013 is a deficient number, since it is larger than the sum of its proper divisors (63289001245887).

132024144110013 is a wasteful number, since it uses less digits than its factorization.

132024144110013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2988698 (or 2988652 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 132024144110013 its reverse (310011441420231), we get a palindrome (442035585530244).

The spelling of 132024144110013 in words is "one hundred thirty-two trillion, twenty-four billion, one hundred forty-four million, one hundred ten thousand, thirteen".

Divisors: 1 3 9 43 129 387 1849 2657 5547 7971 16641 23913 114251 342753 1028259 2985949 4912793 8957847 14738379 26873541 44215137 128395807 385187421 1155562263 5521019701 7933666493 16563059103 23800999479 49689177309 71402998437 341147659199 1023442977597 3070328932791 14669349345557 44008048036671 132024144110013