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13044022432301 = 731463310941759
BaseRepresentation
bin1011110111010000110001…
…0100101101001000101101
31201011222220100110210120002
42331310030110231020231
53202203124220313201
643424201410034045
72514254015165150
oct275641424551055
951158810423502
1013044022432301
114179a36673753
121568028878925
1373807a1b4923
14331496905c97
1517948937576b
hexbdd0c52d22d

13044022432301 has 32 divisors (see below), whose sum is σ = 15426905702400. Its totient is φ = 10792826130240.

The previous prime is 13044022432279. The next prime is 13044022432307. The reversal of 13044022432301 is 10323422044031.

13044022432301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-13044022432301 is a prime.

It is a super-2 number, since 2×130440224323012 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13044022432307) 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, 312343460 + ... + 312385218.

It is an arithmetic number, because the mean of its divisors is an integer number (482090803200).

Almost surely, 213044022432301 is an apocalyptic number.

It is an amenable number.

13044022432301 is a deficient number, since it is larger than the sum of its proper divisors (2382883270099).

13044022432301 is a wasteful number, since it uses less digits than its factorization.

13044022432301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45369.

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 13044022432301 its reverse (10323422044031), we get a palindrome (23367444476332).

The spelling of 13044022432301 in words is "thirteen trillion, forty-four billion, twenty-two million, four hundred thirty-two thousand, three hundred one".

Divisors: 1 7 31 217 463 3109 3241 14353 21763 41759 96379 100471 292313 674653 1294529 1439467 9061703 10076269 19334417 44623477 129828731 135340919 312364339 599366927 908801117 4024690661 4195568489 28172834627 60110702453 420774917171 1863431776043 13044022432301