Search a number
-
+
13012110330000 = 24354463936797
BaseRepresentation
bin1011110101011001111000…
…1101101100100010010000
31201001221112100020000221020
42331112132031230202100
53201142300221030000
643401403030555440
72512044136613055
oct275263615544220
951057470200836
1013012110330000
114167450068991
121561a01508b80
1373506293c562
1432db0a56302c
1517871c94cba0
hexbd59e36c890

13012110330000 has 200 divisors, whose sum is σ = 42095595197568. Its totient is φ = 3462398016000.

The previous prime is 13012110329989. The next prime is 13012110330017. The reversal of 13012110330000 is 3301121031.

13012110330000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (200).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13421602 + ... + 14358398.

Almost surely, 213012110330000 is an apocalyptic number.

13012110330000 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 13012110330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21047797598784).

13012110330000 is an abundant number, since it is smaller than the sum of its proper divisors (29083484867568).

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

13012110330000 is an equidigital number, since it uses as much as digits as its factorization.

13012110330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 937291 (or 937270 counting only the distinct ones).

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

Adding to 13012110330000 its reverse (3301121031), we get a palindrome (13015411451031).

The spelling of 13012110330000 in words is "thirteen trillion, twelve billion, one hundred ten million, three hundred thirty thousand".