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2214413023131 = 331910134261199
BaseRepresentation
bin100000001110010101010…
…011010011011110011011
321211200210020202222021000
4200032111103103132123
5242240104213220011
64413142020120043
7315662135062461
oct40162523233633
97750706688230
102214413023131
11784144470651
122b9202536023
13130a839135aa
147926cc3c831
153c90696c356
hex203954d379b

2214413023131 has 32 divisors (see below), whose sum is σ = 3456685440000. Its totient is φ = 1397195689824.

The previous prime is 2214413023111. The next prime is 2214413023157. The reversal of 2214413023131 is 1313203144122.

2214413023131 is a `hidden beast` number, since 2 + 2 + 1 + 4 + 41 + 302 + 313 + 1 = 666.

2214413023131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2214413023131 - 25 = 2214413023099 is a prime.

It is a super-2 number, since 2×22144130231312 (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2214413023095 and 2214413023104.

It is not an unprimeable number, because it can be changed into a prime (2214413023111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1610931 + ... + 2650268.

It is an arithmetic number, because the mean of its divisors is an integer number (108021420000).

Almost surely, 22214413023131 is an apocalyptic number.

2214413023131 is a deficient number, since it is larger than the sum of its proper divisors (1242272416869).

2214413023131 is a wasteful number, since it uses less digits than its factorization.

2214413023131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4262240 (or 4262234 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 2214413023131 its reverse (1313203144122), we get a palindrome (3527616167253).

The spelling of 2214413023131 in words is "two trillion, two hundred fourteen billion, four hundred thirteen million, twenty-three thousand, one hundred thirty-one".

Divisors: 1 3 9 19 27 57 171 513 1013 3039 9117 19247 27351 57741 173223 519669 4261199 12783597 38350791 80962781 115052373 242888343 728665029 2185995087 4316594587 12949783761 38849351283 82015297153 116548053849 246045891459 738137674377 2214413023131