Search a number
-
+
13103132001300 = 2232521113910099437
BaseRepresentation
bin1011111010101100111110…
…0001110100010000010100
31201101122110210120000121100
42332223033201310100110
53204140203243020200
643511255025150100
72521445553220125
oct276531741642024
951348423500540
1013103132001300
1141a2009464820
12157758448b330
1374080a318a63
143342a301004c
1517ac9883bd00
hexbeacf874414

13103132001300 has 432 divisors, whose sum is σ = 45176617886400. Its totient is φ = 3150204825600.

The previous prime is 13103132001293. The next prime is 13103132001301. The reversal of 13103132001300 is 310023130131.

It is a happy number.

13103132001300 is a `hidden beast` number, since 1 + 3 + 10 + 31 + 320 + 0 + 1 + 300 = 666.

13103132001300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13103132001301) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1388480182 + ... + 1388489618.

Almost surely, 213103132001300 is an apocalyptic number.

13103132001300 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 13103132001300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22588308943200).

13103132001300 is an abundant number, since it is smaller than the sum of its proper divisors (32073485885100).

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

13103132001300 is a wasteful number, since it uses less digits than its factorization.

13103132001300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10616 (or 10606 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13103132001300 its reverse (310023130131), we get a palindrome (13413155131431).

The spelling of 13103132001300 in words is "thirteen trillion, one hundred three billion, one hundred thirty-two million, one thousand, three hundred".