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13050150400 = 29527220807
BaseRepresentation
bin11000010011101100…
…10111111000000000
31020200111011022212201
430021312113320000
5203211314303100
65554542002544
7641252306500
oct141166277000
936614138781
1013050150400
115597519171
122642576454
1312cc8b06b1
148bb2a1a00
15515a5b36a
hex309d97e00

13050150400 has 180 divisors, whose sum is σ = 37613393928. Its totient is φ = 4474122240.

The previous prime is 13050150397. The next prime is 13050150433. The reversal of 13050150400 is 405105031.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 616797 + ... + 637603.

Almost surely, 213050150400 is an apocalyptic number.

13050150400 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 13050150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18806696964).

13050150400 is an abundant number, since it is smaller than the sum of its proper divisors (24563243528).

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

13050150400 is an equidigital number, since it uses as much as digits as its factorization.

13050150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20849 (or 20821 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

Adding to 13050150400 its reverse (405105031), we get a palindrome (13455255431).

It can be divided in two parts, 130501 and 50400, that added together give a triangular number (180901 = T601).

The spelling of 13050150400 in words is "thirteen billion, fifty million, one hundred fifty thousand, four hundred".