Search a number
-
+
15015123401300 = 2252111989103109719
BaseRepresentation
bin1101101001111111101100…
…0110001011101001010100
31222011102122202200202200122
43122133323012023221110
53432001433042320200
651533504044331112
73106543520034431
oct332377306135124
958142582622618
1015015123401300
114869972797840
121826046543a98
1384bbc64b3949
1439ca4325cb88
151b08a0202385
hexda7fb18ba54

15015123401300 has 576 divisors, whose sum is σ = 38607528960000. Its totient is φ = 5011451596800.

The previous prime is 15015123401269. The next prime is 15015123401363. The reversal of 15015123401300 is 310432151051.

It is a self number, because there is not a number n which added to its sum of digits gives 15015123401300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 20883342341 + ... + 20883343059.

It is an arithmetic number, because the mean of its divisors is an integer number (67026960000).

Almost surely, 215015123401300 is an apocalyptic number.

15015123401300 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 15015123401300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19303764480000).

15015123401300 is an abundant number, since it is smaller than the sum of its proper divisors (23592405558700).

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

15015123401300 is a wasteful number, since it uses less digits than its factorization.

15015123401300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

Adding to 15015123401300 its reverse (310432151051), we get a palindrome (15325555552351).

The spelling of 15015123401300 in words is "fifteen trillion, fifteen billion, one hundred twenty-three million, four hundred one thousand, three hundred".