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1316103552 = 27351719131
BaseRepresentation
bin100111001110010…
…0010010110000000
310101201110222200000
41032130202112000
510143410303202
6334332400000
744420460411
oct11634422600
93351428600
101316103552
116159a7095
12308916000
1317c8859ca
14c6b13808
157a82191c
hex4e722580

1316103552 has 384 divisors, whose sum is σ = 4410806400. Its totient is φ = 388177920.

The previous prime is 1316103517. The next prime is 1316103559. The reversal of 1316103552 is 2553016131.

1316103552 is a `hidden beast` number, since 1 + 3 + 1 + 6 + 103 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1316103559) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10046527 + ... + 10046657.

It is an arithmetic number, because the mean of its divisors is an integer number (11486475).

Almost surely, 21316103552 is an apocalyptic number.

1316103552 is a gapful number since it is divisible by the number (12) 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 1316103552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2205403200).

1316103552 is an abundant number, since it is smaller than the sum of its proper divisors (3094702848).

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

1316103552 is a wasteful number, since it uses less digits than its factorization.

1316103552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 1316103552 is about 36278.1415179995. The cubic root of 1316103552 is about 1095.8808899632.

Adding to 1316103552 its reverse (2553016131), we get a palindrome (3869119683).

The spelling of 1316103552 in words is "one billion, three hundred sixteen million, one hundred three thousand, five hundred fifty-two".