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10132112142241 = 79971916922577
BaseRepresentation
bin1001001101110001000011…
…1100011110111110100001
31022212121202022112102220121
42103130100330132332201
52312001031202022431
633314343354440241
72064010120126615
oct223342074367641
938777668472817
1010132112142241
113257006184951
121177807a33081
135865b97ac85b
1427057ad25345
1512885d41b611
hex93710f1efa1

10132112142241 has 16 divisors (see below), whose sum is σ = 10420418211840. Its totient is φ = 9848887326720.

The previous prime is 10132112142169. The next prime is 10132112142247. The reversal of 10132112142241 is 14224121123101.

It is a cyclic number.

It is not a de Polignac number, because 10132112142241 - 213 = 10132112134049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10132112142247) 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 15 ways as a sum of consecutive naturals, for example, 1997656 + ... + 4924921.

It is an arithmetic number, because the mean of its divisors is an integer number (651276138240).

Almost surely, 210132112142241 is an apocalyptic number.

It is an amenable number.

10132112142241 is a deficient number, since it is larger than the sum of its proper divisors (288306069599).

10132112142241 is an equidigital number, since it uses as much as digits as its factorization.

10132112142241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6922944.

The product of its (nonzero) digits is 768, while the sum is 25.

Adding to 10132112142241 its reverse (14224121123101), we get a palindrome (24356233265342).

The spelling of 10132112142241 in words is "ten trillion, one hundred thirty-two billion, one hundred twelve million, one hundred forty-two thousand, two hundred forty-one".

Divisors: 1 79 97 191 7663 15089 18527 1463633 6922577 546883583 671489969 1322212207 53047707551 104454764353 128254584079 10132112142241