Search a number
-
+
13247277120 = 26325711314147
BaseRepresentation
bin11000101011001100…
…10110100001000000
31021012020002101220100
430111212112201000
5204112300331440
610030303042400
7646164666120
oct142546264100
937166071810
1013247277120
115688819410
1226985a0400
13133169cc1c
148d9536c80
15527ee9230
hex315996840

13247277120 has 1344 divisors, whose sum is σ = 61349363712. Its totient is φ = 2543616000.

The previous prime is 13247277107. The next prime is 13247277191. The reversal of 13247277120 is 2177274231.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 281856937 + ... + 281856983.

It is an arithmetic number, because the mean of its divisors is an integer number (45646848).

Almost surely, 213247277120 is an apocalyptic number.

13247277120 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 13247277120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30674681856).

13247277120 is an abundant number, since it is smaller than the sum of its proper divisors (48102086592).

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

13247277120 is a wasteful number, since it uses less digits than its factorization.

13247277120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The spelling of 13247277120 in words is "thirteen billion, two hundred forty-seven million, two hundred seventy-seven thousand, one hundred twenty".