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12301124213141 = 101376932314489
BaseRepresentation
bin1011001100000001010000…
…1000111001100110010101
31121112222100111102002001022
42303000110020321212111
53103020200244310031
642055020343010525
72406504216415241
oct263002410714625
947488314362038
1012301124213141
113a12971a24075
121468059739a45
136b2cb63c916a
14307540163421
15164ea914997b
hexb3014239995

12301124213141 has 8 divisors (see below), whose sum is σ = 12426213984600. Its totient is φ = 12176099078400.

The previous prime is 12301124213137. The next prime is 12301124213177. The reversal of 12301124213141 is 14131242110321.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3116866666225 + 9184257546916 = 1765465^2 + 3030554^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12301124213141 - 22 = 12301124213137 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12301124213141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12301124213041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15776576 + ... + 16537913.

It is an arithmetic number, because the mean of its divisors is an integer number (1553276748075).

Almost surely, 212301124213141 is an apocalyptic number.

It is an amenable number.

12301124213141 is a deficient number, since it is larger than the sum of its proper divisors (125089771459).

12301124213141 is a wasteful number, since it uses less digits than its factorization.

12301124213141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32318359.

The product of its (nonzero) digits is 1152, while the sum is 26.

Adding to 12301124213141 its reverse (14131242110321), we get a palindrome (26432366323462).

The spelling of 12301124213141 in words is "twelve trillion, three hundred one billion, one hundred twenty-four million, two hundred thirteen thousand, one hundred forty-one".

Divisors: 1 101 3769 380669 32314489 3263763389 121793309041 12301124213141