Search a number
-
+
13220023230000 = 243354294735923
BaseRepresentation
bin1100000001100000011011…
…0010011101111000110000
31201210211012011000200121000
43000120012302131320300
53213044101421330000
644041110030002000
72533054333243266
oct300300662357060
951724164020530
1013220023230000
114237642516a64
121596167046300
1374b848426882
14339bd1518436
1517dd3a915000
hexc0606c9de30

13220023230000 has 800 divisors, whose sum is σ = 50097943526400. Its totient is φ = 3331262592000.

The previous prime is 13220023229983. The next prime is 13220023230017. The reversal of 13220023230000 is 3232002231.

It is a happy number.

13220023230000 is a `hidden beast` number, since 132 + 2 + 0 + 0 + 232 + 300 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13220023229983) and next prime (13220023230017).

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 367992039 + ... + 368027961.

It is an arithmetic number, because the mean of its divisors is an integer number (62622429408).

Almost surely, 213220023230000 is an apocalyptic number.

13220023230000 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 13220023230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25048971763200).

13220023230000 is an abundant number, since it is smaller than the sum of its proper divisors (36877920296400).

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

13220023230000 is a wasteful number, since it uses less digits than its factorization.

13220023230000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36036 (or 36009 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 13220023230000 its reverse (3232002231), we get a palindrome (13223255232231).

The spelling of 13220023230000 in words is "thirteen trillion, two hundred twenty billion, twenty-three million, two hundred thirty thousand".