Search a number
-
+
10121256463 = 311123726309
BaseRepresentation
bin10010110110100011…
…00001111000001111
3222010100221002201111
421123101201320033
5131212020201323
64352153352451
7505546155223
oct113321417017
928110832644
1010121256463
11432420486a
121b65708727
13c53b64266
146c02c8783
153e3860c0d
hex25b461e0f

10121256463 has 8 divisors (see below), whose sum is σ = 10162395360. Its totient is φ = 10080173280.

The previous prime is 10121256449. The next prime is 10121256511. The reversal of 10121256463 is 36465212101.

It is a happy number.

10121256463 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 sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10121256463 - 29 = 10121255951 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121256403) 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 7 ways as a sum of consecutive naturals, for example, 371553 + ... + 397861.

It is an arithmetic number, because the mean of its divisors is an integer number (1270299420).

Almost surely, 210121256463 is an apocalyptic number.

10121256463 is a deficient number, since it is larger than the sum of its proper divisors (41138897).

10121256463 is a wasteful number, since it uses less digits than its factorization.

10121256463 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27857.

The product of its (nonzero) digits is 8640, while the sum is 31.

Adding to 10121256463 its reverse (36465212101), we get a palindrome (46586468564).

The spelling of 10121256463 in words is "ten billion, one hundred twenty-one million, two hundred fifty-six thousand, four hundred sixty-three".

Divisors: 1 311 1237 26309 384707 8182099 32544233 10121256463