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2103044131431 = 324391511352271
BaseRepresentation
bin11110100110100111001…
…100101100101001100111
321110001022202120002111100
4132212213030230221213
5233424013244201211
64250043010211143
7304640252112225
oct36464714545147
97401282502440
102103044131431
11740994649991
1229b701283ab3
1312341593a4c9
1473b05d23b15
1539a895c7156
hex1e9a732ca67

2103044131431 has 24 divisors (see below), whose sum is σ = 3046673710080. Its totient is φ = 1397905995600.

The previous prime is 2103044131411. The next prime is 2103044131439. The reversal of 2103044131431 is 1341314403012.

2103044131431 is a `hidden beast` number, since 2 + 1 + 0 + 304 + 41 + 314 + 3 + 1 = 666.

It is not a de Polignac number, because 2103044131431 - 26 = 2103044131367 is a prime.

It is a super-4 number, since 4×21030441314314 (a number of 50 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 2103044131395 and 2103044131404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2103044131439) 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, 5793826 + ... + 6146096.

It is an arithmetic number, because the mean of its divisors is an integer number (126944737920).

Almost surely, 22103044131431 is an apocalyptic number.

2103044131431 is a deficient number, since it is larger than the sum of its proper divisors (943629578649).

2103044131431 is a wasteful number, since it uses less digits than its factorization.

2103044131431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354227 (or 354224 counting only the distinct ones).

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

Adding to 2103044131431 its reverse (1341314403012), we get a palindrome (3444358534443).

The spelling of 2103044131431 in words is "two trillion, one hundred three billion, forty-four million, one hundred thirty-one thousand, four hundred thirty-one".

Divisors: 1 3 9 439 1317 1511 3951 4533 13599 352271 663329 1056813 1989987 3170439 5969961 154646969 463940907 532281481 1391822721 1596844443 4790533329 233671570159 701014710477 2103044131431