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10234145304431 = 1989971011813413
BaseRepresentation
bin1001010011101101001010…
…0110000110111101101111
31100020101010011221010100122
42110323102212012331233
52320134012144220211
633433300151315155
72104251442525646
oct224732246067557
940211104833318
1010234145304431
113296305247884
12119354267babb
135930ca5a7a39
14275499dd435d
1512b330db96db
hex94ed2986f6f

10234145304431 has 64 divisors (see below), whose sum is σ = 11179790294400. Its totient is φ = 9339162624000.

The previous prime is 10234145304379. The next prime is 10234145304451. The reversal of 10234145304431 is 13440354143201.

It is a cyclic number.

It is not a de Polignac number, because 10234145304431 - 26 = 10234145304367 is a prime.

It is a super-2 number, since 2×102341453044312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10234145304391 and 10234145304400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10234145304451) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2998575881 + ... + 2998579293.

It is an arithmetic number, because the mean of its divisors is an integer number (174684223350).

Almost surely, 210234145304431 is an apocalyptic number.

10234145304431 is a deficient number, since it is larger than the sum of its proper divisors (945644989969).

10234145304431 is a wasteful number, since it uses less digits than its factorization.

10234145304431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3900.

The product of its (nonzero) digits is 69120, while the sum is 35.

Adding to 10234145304431 its reverse (13440354143201), we get a palindrome (23674499447632).

The spelling of 10234145304431 in words is "ten trillion, two hundred thirty-four billion, one hundred forty-five million, three hundred four thousand, four hundred thirty-one".

Divisors: 1 19 89 97 101 181 1691 1843 1919 3413 3439 8633 8989 9797 16109 17557 18281 64847 164027 170791 186143 303757 306071 331061 333583 344713 347339 617753 871933 1562573 1627009 1773257 5771383 6290159 6549547 11737307 16566727 29464429 29688887 30679457 30913171 33437161 33691883 54980017 59922041 62393053 157819873 559824151 582909683 635306059 1044620323 1138518779 1185468007 2975907329 2998577587 5333061649 5552981717 6052126141 56542239251 101328171331 105506652623 114990396679 538639226549 10234145304431