Search a number
-
+
10412418081 = 3131243721467
BaseRepresentation
bin10011011001010000…
…01110010000100001
3222212122210122101010
421230220032100201
5132311034334311
64441114131133
7516013044012
oct115450162041
928778718333
1010412418081
1144635a18aa
122027120aa9
13c9c289140
1470ac3b009
1540e1c5da6
hex26ca0e421

10412418081 has 16 divisors (see below), whose sum is σ = 14953063104. Its totient is φ = 6406828224.

The previous prime is 10412418073. The next prime is 10412418101. The reversal of 10412418081 is 18081421401.

It is not a de Polignac number, because 10412418081 - 23 = 10412418073 is a prime.

It is a super-3 number, since 3×104124180813 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (10412418031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 474310 + ... + 495776.

It is an arithmetic number, because the mean of its divisors is an integer number (934566444).

Almost surely, 210412418081 is an apocalyptic number.

It is an amenable number.

10412418081 is a deficient number, since it is larger than the sum of its proper divisors (4540645023).

10412418081 is a wasteful number, since it uses less digits than its factorization.

10412418081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33920.

The product of its (nonzero) digits is 2048, while the sum is 30.

Adding to 10412418081 its reverse (18081421401), we get a palindrome (28493839482).

The spelling of 10412418081 in words is "ten billion, four hundred twelve million, four hundred eighteen thousand, eighty-one".

Divisors: 1 3 13 39 12437 21467 37311 64401 161681 279071 485043 837213 266985079 800955237 3470806027 10412418081