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203121204444431 = 71313191692267739
BaseRepresentation
bin101110001011110011010111…
…001111001011110100001111
3222122012012022222110001122222
4232023303113033023310033
5203110414211314210211
62000000332040525555
760533010541333040
oct5613632717136417
9878165288401588
10203121204444431
11597a2245606069
121a9463004808bb
13894532a695550
143823193bcc8c7
1518739ae3a11db
hexb8bcd73cbd0f

203121204444431 has 16 divisors (see below), whose sum is σ = 250184862681600. Its totient is φ = 160589439265248.

The previous prime is 203121204444427. The next prime is 203121204444451. The reversal of 203121204444431 is 134444402121302.

It is not a de Polignac number, because 203121204444431 - 22 = 203121204444427 is a prime.

It is a super-2 number, since 2×2031212044444312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 203121204444391 and 203121204444400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203121204444401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 846013841 + ... + 846253898.

It is an arithmetic number, because the mean of its divisors is an integer number (15636553917600).

Almost surely, 2203121204444431 is an apocalyptic number.

203121204444431 is a deficient number, since it is larger than the sum of its proper divisors (47063658237169).

203121204444431 is a wasteful number, since it uses less digits than its factorization.

203121204444431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1692269078.

The product of its (nonzero) digits is 73728, while the sum is 35.

Adding to 203121204444431 its reverse (134444402121302), we get a palindrome (337565606565733).

The spelling of 203121204444431 in words is "two hundred three trillion, one hundred twenty-one billion, two hundred four million, four hundred forty-four thousand, four hundred thirty-one".

Divisors: 1 7 13 91 1319 9233 17147 120029 1692267739 11845874173 21999480607 153996364249 2232101147741 15624708034187 29017314920633 203121204444431