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13323034660 = 225131493311039
BaseRepresentation
bin11000110100001110…
…10110000000100100
31021101111122021201011
430122013112000210
5204241144102120
610042010512004
7651104632435
oct143207260044
937344567634
1013323034660
115717562151
1226b9a35604
1313442a6280
1490561748c
1552e9b0c5a
hex31a1d6024

13323034660 has 96 divisors (see below), whose sum is σ = 30453696000. Its totient is φ = 4866808320.

The previous prime is 13323034597. The next prime is 13323034661. The reversal of 13323034660 is 6643032331.

It is a happy number.

It is a super-2 number, since 2×133230346602 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13323034661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12822421 + ... + 12823459.

It is an arithmetic number, because the mean of its divisors is an integer number (317226000).

Almost surely, 213323034660 is an apocalyptic number.

13323034660 is a gapful number since it is divisible by the number (10) 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 13323034660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15226848000).

13323034660 is an abundant number, since it is smaller than the sum of its proper divisors (17130661340).

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

13323034660 is a wasteful number, since it uses less digits than its factorization.

13323034660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1541 (or 1539 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 31.

Adding to 13323034660 its reverse (6643032331), we get a palindrome (19966066991).

The spelling of 13323034660 in words is "thirteen billion, three hundred twenty-three million, thirty-four thousand, six hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 149 260 298 331 596 662 745 1039 1324 1490 1655 1937 2078 2980 3310 3874 4156 4303 5195 6620 7748 8606 9685 10390 13507 17212 19370 20780 21515 27014 38740 43030 49319 54028 67535 86060 98638 135070 154811 197276 246595 270140 309622 343909 493190 619244 641147 687818 774055 986380 1282294 1375636 1548110 1719545 2012543 2564588 3096220 3205735 3439090 4025086 4470817 6411470 6878180 8050172 8941634 10062715 12822940 17883268 20125430 22354085 40250860 44708170 51242441 89416340 102484882 204969764 256212205 512424410 666151733 1024848820 1332303466 2664606932 3330758665 6661517330 13323034660