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10010420431441 = 1729315312358559
BaseRepresentation
bin1001000110101011101110…
…0011011100101001010001
31022102222122102010000110121
42101222323203130221101
52303002320112301231
633142420151030241
72052141356505013
oct221527343345121
938388572100417
1010010420431441
11320a4393a9431
12115810566b381
13577c94c8bba1
142687150541b3
151255d9b9d311
hex91abb8dca51

10010420431441 has 32 divisors (see below), whose sum is σ = 11532019507200. Its totient is φ = 8637149015040.

The previous prime is 10010420431423. The next prime is 10010420431481. The reversal of 10010420431441 is 14413402401001.

10010420431441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10010420431441 - 29 = 10010420430929 is a prime.

It is a super-2 number, since 2×100104204314412 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10010420431421) 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, 5369281 + ... + 6989278.

It is an arithmetic number, because the mean of its divisors is an integer number (360375609600).

Almost surely, 210010420431441 is an apocalyptic number.

It is an amenable number.

10010420431441 is a deficient number, since it is larger than the sum of its proper divisors (1521599075759).

10010420431441 is a wasteful number, since it uses less digits than its factorization.

10010420431441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12358689.

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 10010420431441 its reverse (14413402401001), we get a palindrome (24423822832442).

The spelling of 10010420431441 in words is "ten trillion, ten billion, four hundred twenty million, four hundred thirty-one thousand, four hundred forty-one".

Divisors: 1 17 29 31 53 493 527 899 901 1537 1643 15283 26129 27931 47647 809999 12358559 210095503 358398211 383115329 655003627 6092769587 6512960593 11110344541 11135061659 18995105183 20305112437 188875857197 322916788111 345186911429 588848260673 10010420431441