Search a number
-
+
2129416110981 = 32715081655859
BaseRepresentation
bin11110111111001011000…
…101110100001110000101
321112120101200002110102200
4132333023011310032011
5234342021011022411
64310123521225113
7306562626204045
oct36771305641605
97476350073380
102129416110981
11751097976505
122a4841192199
13125a59491533
14750c85a7725
153a5ce956e56
hex1efcb174385

2129416110981 has 24 divisors (see below), whose sum is σ = 3119763366720. Its totient is φ = 1399338628800.

The previous prime is 2129416110937. The next prime is 2129416111033. The reversal of 2129416110981 is 1890116149212.

It is a happy number.

2129416110981 is a `hidden beast` number, since 2 + 1 + 29 + 4 + 1 + 611 + 0 + 9 + 8 + 1 = 666.

It is not a de Polignac number, because 2129416110981 - 26 = 2129416110917 is a prime.

It is a super-2 number, since 2×21294161109812 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2129416110901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2918830 + ... + 3574688.

It is an arithmetic number, because the mean of its divisors is an integer number (129990140280).

Almost surely, 22129416110981 is an apocalyptic number.

It is an amenable number.

2129416110981 is a deficient number, since it is larger than the sum of its proper divisors (990347255739).

2129416110981 is a wasteful number, since it uses less digits than its factorization.

2129416110981 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661017 (or 661014 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 45.

The spelling of 2129416110981 in words is "two trillion, one hundred twenty-nine billion, four hundred sixteen million, one hundred ten thousand, nine hundred eighty-one".

Divisors: 1 3 9 71 213 639 5081 15243 45729 360751 655859 1082253 1967577 3246759 5902731 46565989 139697967 419093901 3332419579 9997258737 29991776211 236601790109 709805370327 2129416110981