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13300323012 = 2233294790353
BaseRepresentation
bin11000110001100001…
…01101001011000100
31021022220220102012000
430120300231023010
5204214340314022
610035440025300
7650410610634
oct143060551304
937286812160
1013300323012
11570575a599
1226b2302230
13133c683822
149025c46c4
1552c9c66ac
hex318c2d2c4

13300323012 has 96 divisors (see below), whose sum is σ = 36430732800. Its totient is φ = 4189441536.

The previous prime is 13300323011. The next prime is 13300323013. The reversal of 13300323012 is 21032300331.

13300323012 is a `hidden beast` number, since 1 + 330 + 0 + 32 + 301 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (13300323011) and next prime (13300323013).

It is a super-3 number, since 3×133003230123 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13300323011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102028 + ... + 192380.

It is an arithmetic number, because the mean of its divisors is an integer number (379486800).

Almost surely, 213300323012 is an apocalyptic number.

13300323012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13300323012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18215366400).

13300323012 is an abundant number, since it is smaller than the sum of its proper divisors (23130409788).

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

13300323012 is a wasteful number, since it uses less digits than its factorization.

13300323012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90442 (or 90434 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 13300323012 its reverse (21032300331), we get a palindrome (34332623343).

The spelling of 13300323012 in words is "thirteen billion, three hundred million, three hundred twenty-three thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 47 54 58 87 94 108 116 141 174 188 261 282 348 423 522 564 783 846 1044 1269 1363 1566 1692 2538 2726 3132 4089 5076 5452 8178 12267 16356 24534 36801 49068 73602 90353 147204 180706 271059 361412 542118 813177 1084236 1626354 2439531 2620237 3252708 4246591 4879062 5240474 7860711 8493182 9758124 10480948 12739773 15721422 16986364 23582133 25479546 31442844 38219319 47164266 50959092 70746399 76438638 94328532 114657957 123151139 141492798 152877276 229315914 246302278 282985596 369453417 458631828 492604556 738906834 1108360251 1477813668 2216720502 3325080753 4433441004 6650161506 13300323012