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222142401203301 = 3371115880230153
BaseRepresentation
bin110010100000100110001110…
…111010011100110001100101
31002010112121100212221001122000
4302200212032322130301211
5213104040114202001201
62104242451004355513
764535154534161505
oct6240461672346145
91063477325831560
10222142401203301
1164866077269947
1220ab8828845b99
1396c4c27cb6507
143cbda6cc13a05
151aa3678836d86
hexca098ee9cc65

222142401203301 has 16 divisors (see below), whose sum is σ = 333735062843520. Its totient is φ = 146009089991520.

The previous prime is 222142401203207. The next prime is 222142401203309. The reversal of 222142401203301 is 103302104241222.

222142401203301 is a `hidden beast` number, since 2 + 2 + 2 + 1 + 424 + 0 + 1 + 203 + 30 + 1 = 666.

It is not a de Polignac number, because 222142401203301 - 213 = 222142401195109 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222142401203309) 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 15 ways as a sum of consecutive naturals, for example, 57940113160 + ... + 57940116993.

It is an arithmetic number, because the mean of its divisors is an integer number (20858441427720).

Almost surely, 2222142401203301 is an apocalyptic number.

It is an amenable number.

222142401203301 is a deficient number, since it is larger than the sum of its proper divisors (111592661640219).

222142401203301 is a wasteful number, since it uses less digits than its factorization.

222142401203301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115880230233 (or 115880230227 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 222142401203301 its reverse (103302104241222), we get a palindrome (325444505444523).

The spelling of 222142401203301 in words is "two hundred twenty-two trillion, one hundred forty-two billion, four hundred one million, two hundred three thousand, three hundred one".

Divisors: 1 3 9 27 71 213 639 1917 115880230153 347640690459 1042922071377 3128766214131 8227496340863 24682489022589 74047467067767 222142401203301