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13313102010 = 2351335396703
BaseRepresentation
bin11000110011000010…
…11101000010111010
31021100210221122200020
430121201131002322
5204231123231020
610041013551310
7650624333325
oct143141350272
937323848606
1013313102010
11571199864a
1226b6645536
131342209270
1490418d7bc
1552db9cc40
hex31985d0ba

13313102010 has 64 divisors (see below), whose sum is σ = 34507081728. Its totient is φ = 3267753984.

The previous prime is 13313101987. The next prime is 13313102017. The reversal of 13313102010 is 1020131331.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (13313102017) 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, 89319 + ... + 186021.

It is an arithmetic number, because the mean of its divisors is an integer number (539173152).

Almost surely, 213313102010 is an apocalyptic number.

13313102010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13313102010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17253540864).

13313102010 is an abundant number, since it is smaller than the sum of its proper divisors (21193979718).

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

13313102010 is a wasteful number, since it uses less digits than its factorization.

13313102010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97079.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 13313102010 its reverse (1020131331), we get a palindrome (14333233341).

The spelling of 13313102010 in words is "thirteen billion, three hundred thirteen million, one hundred two thousand, ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 353 390 706 1059 1765 2118 3530 4589 5295 9178 10590 13767 22945 27534 45890 68835 96703 137670 193406 290109 483515 580218 967030 1257139 1450545 2514278 2901090 3771417 6285695 7542834 12571390 18857085 34136159 37714170 68272318 102408477 170680795 204816954 341361590 443770067 512042385 887540134 1024084770 1331310201 2218850335 2662620402 4437700670 6656551005 13313102010