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13103220000 = 2535413107157
BaseRepresentation
bin11000011010000001…
…10100010100100000
31020211012000112200110
430031000310110200
5203313411020000
610004115251320
7642465350403
oct141500642440
936735015613
1013103220000
115614476142
1226582a9b40
13130a8a2020
148c4357d3a
1551a540850
hex30d034520

13103220000 has 480 divisors, whose sum is σ = 47017599552. Its totient is φ = 3174912000.

The previous prime is 13103219993. The next prime is 13103220001. The reversal of 13103220000 is 2230131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (13103220001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 83459922 + ... + 83460078.

Almost surely, 213103220000 is an apocalyptic number.

13103220000 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 13103220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23508799776).

13103220000 is an abundant number, since it is smaller than the sum of its proper divisors (33914379552).

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

13103220000 is a wasteful number, since it uses less digits than its factorization.

13103220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 13103220000 its reverse (2230131), we get a palindrome (13105450131).

The spelling of 13103220000 in words is "thirteen billion, one hundred three million, two hundred twenty thousand".