Search a number
-
+
132114443141031 = 31329211293567761
BaseRepresentation
bin11110000010100001001010…
…011100111111111110100111
3122022210000110200211001202220
4132002201022130333332213
5114304030334421003111
61144552312020403423
736553645026645111
oct3602411234777647
9568700420731686
10132114443141031
1139106469a337aa
12129987b7846573
1358944529a2890
14248a531d7a3b1
1510418ee779e06
hex78284a73ffa7

132114443141031 has 48 divisors (see below), whose sum is σ = 196643910022560. Its totient is φ = 78428155760640.

The previous prime is 132114443141017. The next prime is 132114443141047. The reversal of 132114443141031 is 130141344411231.

It is not a de Polignac number, because 132114443141031 - 222 = 132114438946727 is a prime.

It is a super-2 number, since 2×1321144431410312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132114443140983 and 132114443141001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132114443141071) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35246191 + ... + 38813951.

It is an arithmetic number, because the mean of its divisors is an integer number (4096748125470).

Almost surely, 2132114443141031 is an apocalyptic number.

132114443141031 is a deficient number, since it is larger than the sum of its proper divisors (64529466881529).

132114443141031 is a wasteful number, since it uses less digits than its factorization.

132114443141031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3568964 (or 3568935 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

Adding to 132114443141031 its reverse (130141344411231), we get a palindrome (262255787552262).

The spelling of 132114443141031 in words is "one hundred thirty-two trillion, one hundred fourteen billion, four hundred forty-three million, one hundred forty-one thousand, thirty-one".

Divisors: 1 3 13 29 39 87 377 841 1129 1131 2523 3387 10933 14677 32741 32799 44031 98223 425633 949489 1276899 2848467 3567761 10703283 12343357 37030071 46380893 103465069 139142679 310395207 1345045897 3000487001 4028002169 4035137691 9001461003 12084006507 39006331013 52364028197 116812062901 117018993039 157092084591 350436188703 1518556817713 3387549824129 4555670453139 10162649472387 44038147713677 132114443141031