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11334414321 = 34677926437
BaseRepresentation
bin10101000111001010…
…10110111111110001
31002020220200220110000
422203211112333301
5141203102224241
65112411500213
7550606634466
oct124345267761
932226626400
1011334414321
114896a8826a
122243a57669
1310b82b4749
1479748166d
154650e9eb6
hex2a3956ff1

11334414321 has 40 divisors (see below), whose sum is σ = 17402549120. Its totient is φ = 7348996512.

The previous prime is 11334414313. The next prime is 11334414341. The reversal of 11334414321 is 12341443311.

11334414321 is a `hidden beast` number, since 1 + 1 + 334 + 4 + 1 + 4 + 321 = 666.

It is not a de Polignac number, because 11334414321 - 23 = 11334414313 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11334414341) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 415515 + ... + 441951.

It is an arithmetic number, because the mean of its divisors is an integer number (435063728).

Almost surely, 211334414321 is an apocalyptic number.

It is an amenable number.

11334414321 is a deficient number, since it is larger than the sum of its proper divisors (6068134799).

11334414321 is an equidigital number, since it uses as much as digits as its factorization.

11334414321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26595 (or 26586 counting only the distinct ones).

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

Adding to 11334414321 its reverse (12341443311), we get a palindrome (23675857632).

The spelling of 11334414321 in words is "eleven billion, three hundred thirty-four million, four hundred fourteen thousand, three hundred twenty-one".

Divisors: 1 3 9 27 67 79 81 201 237 603 711 1809 2133 5293 5427 6399 15879 26437 47637 79311 142911 237933 428733 713799 1771279 2088523 2141397 5313837 6265569 15941511 18796707 47824533 56390121 139931041 143473599 169170363 419793123 1259379369 3778138107 11334414321