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13330212331 = 616731710289
BaseRepresentation
bin11000110101000101…
…01110010111101011
31021102000010221121211
430122202232113223
5204300013243311
610042424413551
7651222635542
oct143242562753
937360127554
1013330212331
115720614907
1227003172b7
13134591a307
14906565159
1553042c821
hex31a8ae5eb

13330212331 has 16 divisors (see below), whose sum is σ = 13795679520. Its totient is φ = 12873991680.

The previous prime is 13330212323. The next prime is 13330212341. The reversal of 13330212331 is 13321203331.

It is a cyclic number.

It is not a de Polignac number, because 13330212331 - 23 = 13330212323 is a prime.

It is a super-2 number, since 2×133302123312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13330212341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1290435 + ... + 1300723.

It is an arithmetic number, because the mean of its divisors is an integer number (862229970).

Almost surely, 213330212331 is an apocalyptic number.

13330212331 is a deficient number, since it is larger than the sum of its proper divisors (465467189).

13330212331 is a wasteful number, since it uses less digits than its factorization.

13330212331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10734.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 13330212331 its reverse (13321203331), we get a palindrome (26651415662).

The spelling of 13330212331 in words is "thirteen billion, three hundred thirty million, two hundred twelve thousand, three hundred thirty-one".

Divisors: 1 61 67 317 4087 10289 19337 21239 627629 689363 1295579 3261613 42051143 198958393 218528071 13330212331