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13022135660 = 22517733071709
BaseRepresentation
bin11000010000010111…
…00000010101101100
31020121112110000212202
430020023200111230
5203132131320120
65552101321032
7640462220042
oct141013402554
936545400782
1013022135660
115582724296
122635106178
1312c6b52221
148b768c392
15513375875
hex3082e056c

13022135660 has 96 divisors (see below), whose sum is σ = 29464585920. Its totient is φ = 4816723968.

The previous prime is 13022135641. The next prime is 13022135671. The reversal of 13022135660 is 6653122031.

It is an unprimeable number.

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, 7618886 + ... + 7620594.

It is an arithmetic number, because the mean of its divisors is an integer number (306922770).

Almost surely, 213022135660 is an apocalyptic number.

13022135660 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 13022135660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14732292960).

13022135660 is an abundant number, since it is smaller than the sum of its proper divisors (16442450260).

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

13022135660 is a wasteful number, since it uses less digits than its factorization.

13022135660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2115 (or 2113 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

Adding to 13022135660 its reverse (6653122031), we get a palindrome (19675257691).

The spelling of 13022135660 in words is "thirteen billion, twenty-two million, one hundred thirty-five thousand, six hundred sixty".

Divisors: 1 2 4 5 10 17 20 34 68 73 85 146 170 292 307 340 365 614 730 1228 1241 1460 1535 1709 2482 3070 3418 4964 5219 6140 6205 6836 8545 10438 12410 17090 20876 22411 24820 26095 29053 34180 44822 52190 58106 89644 104380 112055 116212 124757 145265 224110 249514 290530 380987 448220 499028 524663 581060 623785 761974 1049326 1247570 1523948 1904935 2098652 2120869 2495140 2623315 3809870 4241738 5246630 7619740 8483476 8919271 10493260 10604345 17838542 21208690 35677084 38300399 42417380 44596355 76600798 89192710 153201596 178385420 191501995 383003990 651106783 766007980 1302213566 2604427132 3255533915 6511067830 13022135660