Search a number
-
+
13203121200000 = 2735523814621
BaseRepresentation
bin1100000000100001011101…
…0110010101101110000000
31201202012120012212121020220
43000020113112111232000
53212304443011400000
644025232524503040
72531615436331014
oct300102726255600
951665505777226
1013203121200000
114230459792726
121592a2a6aaa80
1374a083815ca4
1433906a85c544
1517d69bb411a0
hexc0217595b80

13203121200000 has 384 divisors, whose sum is σ = 43863583488480. Its totient is φ = 3518592000000.

The previous prime is 13203121199999. The next prime is 13203121200001. The reversal of 13203121200000 is 212130231.

It is an interprime number because it is at equal distance from previous prime (13203121199999) and next prime (13203121200001).

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 (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13203121200001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2857197690 + ... + 2857202310.

Almost surely, 213203121200000 is an apocalyptic number.

13203121200000 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 13203121200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21931791744240).

13203121200000 is an abundant number, since it is smaller than the sum of its proper divisors (30660462288480).

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

13203121200000 is an frugal number, since it uses more digits than its factorization.

13203121200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7044 (or 7012 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 13203121200000 its reverse (212130231), we get a palindrome (13203333330231).

The spelling of 13203121200000 in words is "thirteen trillion, two hundred three billion, one hundred twenty-one million, two hundred thousand".