Search a number
-
+
13341210204000 = 253537261431863
BaseRepresentation
bin1100001000100011111000…
…0110000101011101100000
31202020101222212200211022110
43002020332012011131200
53222040244303012000
644212511203235320
72544604424442300
oct302107606053540
952211885624273
1013341210204000
114283a803a0228
1215b5748378b40
1375a0bc4c4403
14341a0a35d600
1518207ebd1850
hexc223e185760

13341210204000 has 1152 divisors, whose sum is σ = 51854825078784. Its totient is φ = 2989002240000.

The previous prime is 13341210203921. The next prime is 13341210204011. The reversal of 13341210204000 is 40201214331.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15459107569 + ... + 15459108431.

It is an arithmetic number, because the mean of its divisors is an integer number (45012868992).

Almost surely, 213341210204000 is an apocalyptic number.

13341210204000 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 13341210204000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25927412539392).

13341210204000 is an abundant number, since it is smaller than the sum of its proper divisors (38513614874784).

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

13341210204000 is a wasteful number, since it uses less digits than its factorization.

13341210204000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1397 (or 1372 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 13341210204000 its reverse (40201214331), we get a palindrome (13381411418331).

The spelling of 13341210204000 in words is "thirteen trillion, three hundred forty-one billion, two hundred ten million, two hundred four thousand".