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1331430333233 = 721121317274029
BaseRepresentation
bin10011010111111111011…
…011101001101100110001
311201021122200001210221012
4103113333123221230301
5133303232131130413
62455352312440305
7165123041050100
oct23277733515461
94637580053835
101331430333233
11473724792800
121960593a9095
13987268cb860
1448627960037
15249783d67a8
hex135ff6e9b31

1331430333233 has 36 divisors (see below), whose sum is σ = 1833361900020. Its totient is φ = 957672112320.

The previous prime is 1331430333227. The next prime is 1331430333241. The reversal of 1331430333233 is 3323330341331.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 853206910864 + 478223422369 = 923692^2 + 691537^2 .

It is not a de Polignac number, because 1331430333233 - 210 = 1331430332209 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1331430333233.

It is not an unprimeable number, because it can be changed into a prime (1331430333223) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8559938 + ... + 8714091.

It is an arithmetic number, because the mean of its divisors is an integer number (50926719445).

Almost surely, 21331430333233 is an apocalyptic number.

1331430333233 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1331430333233 is a deficient number, since it is larger than the sum of its proper divisors (501931566787).

1331430333233 is a wasteful number, since it uses less digits than its factorization.

1331430333233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17274078 (or 17274060 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 32.

Adding to 1331430333233 its reverse (3323330341331), we get a palindrome (4654760674564).

The spelling of 1331430333233 in words is "one trillion, three hundred thirty-one billion, four hundred thirty million, three hundred thirty-three thousand, two hundred thirty-three".

Divisors: 1 7 11 13 49 77 91 121 143 539 637 847 1001 1573 5929 7007 11011 77077 17274029 120918203 190014319 224562377 846427421 1330100233 1571936639 2090157509 2470186147 9310701631 11003556473 14631102563 17291303029 27172047617 102417717941 121039121203 190204333319 1331430333233