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2231013212233 = 132923325398313
BaseRepresentation
bin100000011101110010110…
…000000000000001001001
321220021122010221221201121
4200131302300000001021
5243023103340242413
64424525135515241
7320120405260321
oct40356260000111
97807563857647
102231013212233
117901928833a3
12300475988b21
131324cab304b0
1479da57a6281
153d078ebbb8d
hex20772c00049

2231013212233 has 16 divisors (see below), whose sum is σ = 2496146299920. Its totient is φ = 1979849217024.

The previous prime is 2231013212231. The next prime is 2231013212249. The reversal of 2231013212233 is 3322123101322.

It can be written as a sum of positive squares in 8 ways, for example, as 289817492409 + 1941195719824 = 538347^2 + 1393268^2 .

It is not a de Polignac number, because 2231013212233 - 21 = 2231013212231 is a prime.

It is a super-3 number, since 3×22310132122333 (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2231013212198 and 2231013212207.

It is not an unprimeable number, because it can be changed into a prime (2231013212231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12611316 + ... + 12786997.

It is an arithmetic number, because the mean of its divisors is an integer number (156009143745).

Almost surely, 22231013212233 is an apocalyptic number.

It is an amenable number.

2231013212233 is a deficient number, since it is larger than the sum of its proper divisors (265133087687).

2231013212233 is a wasteful number, since it uses less digits than its factorization.

2231013212233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25398588.

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 2231013212233 its reverse (3322123101322), we get a palindrome (5553136313555).

The spelling of 2231013212233 in words is "two trillion, two hundred thirty-one billion, thirteen million, two hundred twelve thousand, two hundred thirty-three".

Divisors: 1 13 29 233 377 3029 6757 87841 25398313 330178069 736551077 5917806929 9575164001 76931490077 171616400941 2231013212233