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13330213312 = 261329219051
BaseRepresentation
bin11000110101000101…
…01110100111000000
31021102000010222222011
430122202232213000
5204300013311222
610042424422304
7651222641443
oct143242564700
937360128864
1013330213312
115720615619
122700317994
13134591a8b0
1490656565a
1553042cc77
hex31a8ae9c0

13330213312 has 84 divisors (see below), whose sum is σ = 29504651176. Its totient is φ = 5939942400.

The previous prime is 13330213223. The next prime is 13330213313. The reversal of 13330213312 is 21331203331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13330213313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 690187 + ... + 709237.

Almost surely, 213330213312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13330213312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14752325588).

13330213312 is an abundant number, since it is smaller than the sum of its proper divisors (16174437864).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13330213312 is a wasteful number, since it uses less digits than its factorization.

13330213312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19134 (or 19095 counting only the distinct ones).

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

Adding to 13330213312 its reverse (21331203331), we get a palindrome (34661416643).

The spelling of 13330213312 in words is "thirteen billion, three hundred thirty million, two hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 64 104 116 208 232 377 416 464 754 832 841 928 1508 1682 1856 3016 3364 6032 6728 10933 12064 13456 19051 21866 24128 26912 38102 43732 53824 76204 87464 152408 174928 247663 304816 349856 495326 552479 609632 699712 990652 1104958 1219264 1981304 2209916 3962608 4419832 7182227 7925216 8839664 14364454 15850432 16021891 17679328 28728908 32043782 35358656 57457816 64087564 114915632 128175128 208284583 229831264 256350256 416569166 459662528 512700512 833138332 1025401024 1666276664 3332553328 6665106656 13330213312