Search a number
-
+
10012112341 = 711971340489
BaseRepresentation
bin10010101001100010…
…01011010111010101
3221211202120000010121
421110301023113111
5131001100043331
64333254151541
7503052356620
oct112461132725
927752500117
1010012112341
114278638210
121b350525b1
13c3736b63a
146ad9d6db7
153d8ea1c11
hex254c4b5d5

10012112341 has 16 divisors (see below), whose sum is σ = 12611329920. Its totient is φ = 7721210880.

The previous prime is 10012112317. The next prime is 10012112381. The reversal of 10012112341 is 14321121001.

10012112341 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10012112341 - 25 = 10012112309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012112381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 662776 + ... + 677713.

It is an arithmetic number, because the mean of its divisors is an integer number (788208120).

Almost surely, 210012112341 is an apocalyptic number.

10012112341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10012112341 is a deficient number, since it is larger than the sum of its proper divisors (2599217579).

10012112341 is a wasteful number, since it uses less digits than its factorization.

10012112341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340604.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 10012112341 its reverse (14321121001), we get a palindrome (24333233342).

The spelling of 10012112341 in words is "ten billion, twelve million, one hundred twelve thousand, three hundred forty-one".

Divisors: 1 7 11 77 97 679 1067 7469 1340489 9383423 14745379 103217653 130027433 910192031 1430301763 10012112341