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13200000008 = 23134726910039
BaseRepresentation
bin11000100101100100…
…00000010000001000
31021001221010110220012
430102302000100020
5204013200000013
610021453451052
7645052102016
oct142262002010
937057113805
1013200000008
115664068418
1226847a0a88
131324958cc0
148d314b8b6
15523cab1a8
hex312c80408

13200000008 has 64 divisors (see below), whose sum is σ = 27324864000. Its totient is φ = 5939926272.

The previous prime is 13200000007. The next prime is 13200000053. The reversal of 13200000008 is 80000000231.

It is a super-2 number, since 2×132000000082 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13199999938 and 13200000001.

It is not an unprimeable number, because it can be changed into a prime (13200000001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1309853 + ... + 1319891.

It is an arithmetic number, because the mean of its divisors is an integer number (426951000).

Almost surely, 213200000008 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 13200000008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13662432000).

13200000008 is an abundant number, since it is smaller than the sum of its proper divisors (14124863992).

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

13200000008 is a wasteful number, since it uses less digits than its factorization.

13200000008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10374 (or 10370 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 13200000008 its reverse (80000000231), we get a palindrome (93200000239).

The spelling of 13200000008 in words is "thirteen billion, two hundred million, eight", and thus it is an aban number.

Divisors: 1 2 4 8 13 26 47 52 94 104 188 269 376 538 611 1076 1222 2152 2444 3497 4888 6994 10039 12643 13988 20078 25286 27976 40156 50572 80312 101144 130507 164359 261014 328718 471833 522028 657436 943666 1044056 1314872 1887332 2700491 3774664 5400982 6133829 10801964 12267658 21603928 24535316 35106383 49070632 70212766 126923077 140425532 253846154 280851064 507692308 1015384616 1650000001 3300000002 6600000004 13200000008