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13012112011241 = 729509839150097
BaseRepresentation
bin1011110101011001111001…
…0100000110111111101001
31201001221112110101110011102
42331112132110012333221
53201142301133324431
643401403131011145
72512044160114460
oct275263624067751
951057473343142
1013012112011241
114167451007042
121561a01b99ab5
137350630aa885
1432db0a87d9d7
1517871cb80dcb
hexbd59e506fe9

13012112011241 has 32 divisors (see below), whose sum is σ = 15432475968000. Its totient is φ = 10734606554112.

The previous prime is 13012112011237. The next prime is 13012112011271. The reversal of 13012112011241 is 14211021121031.

It is a happy number.

It is not a de Polignac number, because 13012112011241 - 22 = 13012112011237 is a prime.

It is a super-2 number, since 2×130121120112412 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13012112011231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86616305 + ... + 86766401.

It is an arithmetic number, because the mean of its divisors is an integer number (482264874000).

Almost surely, 213012112011241 is an apocalyptic number.

It is an amenable number.

13012112011241 is a deficient number, since it is larger than the sum of its proper divisors (2420363956759).

13012112011241 is a wasteful number, since it uses less digits than its factorization.

13012112011241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151481.

The product of its (nonzero) digits is 96, while the sum is 20.

Adding to 13012112011241 its reverse (14211021121031), we get a palindrome (27223133132272).

The spelling of 13012112011241 in words is "thirteen trillion, twelve billion, one hundred twelve million, eleven thousand, two hundred forty-one".

Divisors: 1 7 29 203 509 839 3563 5873 14761 24331 103327 150097 170317 427051 1050679 2989357 4352813 12384479 30469691 76399373 86691353 125931383 534795611 881519681 2215581817 3652010107 15509072719 25564070749 64099073947 448693517629 1858873144463 13012112011241