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13140103320 = 23325237732053
BaseRepresentation
bin11000011110011011…
…00001000010011000
31020220202102102002100
430033031201002120
5203402331301240
610011514003400
7643424015061
oct141715410230
936822372070
1013140103320
115633278123
122668716560
131315417086
148c91d9568
1551d8c8e30
hex30f361098

13140103320 has 192 divisors, whose sum is σ = 44641471680. Its totient is φ = 3345712128.

The previous prime is 13140103289. The next prime is 13140103321. The reversal of 13140103320 is 2330104131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13140103293 and 13140103302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13140103321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6399414 + ... + 6401466.

It is an arithmetic number, because the mean of its divisors is an integer number (232507665).

Almost surely, 213140103320 is an apocalyptic number.

13140103320 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 13140103320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22320735840).

13140103320 is an abundant number, since it is smaller than the sum of its proper divisors (31501368360).

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

13140103320 is a wasteful number, since it uses less digits than its factorization.

13140103320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2866 (or 2859 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13140103320 its reverse (2330104131), we get a palindrome (15470207451).

The spelling of 13140103320 in words is "thirteen billion, one hundred forty million, one hundred three thousand, three hundred twenty".