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13130324340 = 22357174342767
BaseRepresentation
bin11000011101010000…
…01101100101110100
31020220002000120211220
430032220031211310
5203342330334330
610010524230340
7643244625660
oct141650154564
936802016756
1013130324340
1156287a9021
12266539b3b0
1313133a1cb3
148c7bb18a0
1551cae6710
hex30ea0d974

13130324340 has 192 divisors, whose sum is σ = 45524312064. Its totient is φ = 2758920192.

The previous prime is 13130324329. The next prime is 13130324371. The reversal of 13130324340 is 4342303131.

It is a self number, because there is not a number n which added to its sum of digits gives 13130324340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 285637 + ... + 328403.

It is an arithmetic number, because the mean of its divisors is an integer number (237105792).

Almost surely, 213130324340 is an apocalyptic number.

13130324340 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 13130324340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22762156032).

13130324340 is an abundant number, since it is smaller than the sum of its proper divisors (32393987724).

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

13130324340 is a wasteful number, since it uses less digits than its factorization.

13130324340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42846 (or 42844 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 13130324340 its reverse (4342303131), we get a palindrome (17472627471).

The spelling of 13130324340 in words is "thirteen billion, one hundred thirty million, three hundred twenty-four thousand, three hundred forty".