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213144120404131 = 7283145497395299
BaseRepresentation
bin110000011101101001111011…
…100101010010100010100011
31000221200101020020002200110111
4300131221323211102202203
5210414123124310413011
62033153020202312151
762616104000315440
oct6035517345224243
91027611206080414
10213144120404131
1161a06a06348854
121baa49127b8657
1391c1534366827
143a8c3325b09c7
15199957b053121
hexc1da7b9528a3

213144120404131 has 16 divisors (see below), whose sum is σ = 244470869280000. Its totient is φ = 182036857654368.

The previous prime is 213144120404113. The next prime is 213144120404141. The reversal of 213144120404131 is 131404021441312.

213144120404131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 213144120404131 - 213 = 213144120395939 is a prime.

It is a super-2 number, since 2×2131441204041312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 213144120404093 and 213144120404102.

It is not an unprimeable number, because it can be changed into a prime (213144120404141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25123920 + ... + 32519218.

It is an arithmetic number, because the mean of its divisors is an integer number (15279429330000).

Almost surely, 2213144120404131 is an apocalyptic number.

213144120404131 is a deficient number, since it is larger than the sum of its proper divisors (31326748875869).

213144120404131 is a wasteful number, since it uses less digits than its factorization.

213144120404131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7410138.

The product of its (nonzero) digits is 9216, while the sum is 31.

Adding to 213144120404131 its reverse (131404021441312), we get a palindrome (344548141845443).

The spelling of 213144120404131 in words is "two hundred thirteen trillion, one hundred forty-four billion, one hundred twenty million, four hundred four thousand, one hundred thirty-one".

Divisors: 1 7 283 1981 14549 101843 4117367 7395299 28821569 51767093 2092869617 14650087319 107594205151 753159436057 30449160057733 213144120404131