Search a number
-
+
13230131211000 = 23325311499267811
BaseRepresentation
bin1100000010000110000101…
…0001010110101011111000
31201211210021120222022210200
43000201201101112223320
53213230302042223000
644045501031042200
72533562661540534
oct300414121265370
951753246868720
1013230131211000
11424095a183770
121598108210360
1374c7995c0412
1433a4adb48bc4
1517e22d002500
hexc0861456af8

13230131211000 has 384 divisors, whose sum is σ = 48881046240000. Its totient is φ = 3200865120000.

The previous prime is 13230131210999. The next prime is 13230131211043. The reversal of 13230131211000 is 11213103231.

13230131211000 is a `hidden beast` number, since 1 + 323 + 0 + 131 + 211 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49267095 + ... + 49534905.

It is an arithmetic number, because the mean of its divisors is an integer number (127294391250).

Almost surely, 213230131211000 is an apocalyptic number.

13230131211000 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 13230131211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24440523120000).

13230131211000 is an abundant number, since it is smaller than the sum of its proper divisors (35650915029000).

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

13230131211000 is a wasteful number, since it uses less digits than its factorization.

13230131211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268348 (or 268331 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13230131211000 its reverse (11213103231), we get a palindrome (13241344314231).

The spelling of 13230131211000 in words is "thirteen trillion, two hundred thirty billion, one hundred thirty-one million, two hundred eleven thousand".