Search a number
-
+
1311313034200 = 2352133375712621
BaseRepresentation
bin10011000101010000010…
…110001111101111011000
311122100201122211010122211
4103011100112033233120
5132441032114043300
62442224153124504
7163511362611361
oct23052026175730
94570648733584
101311313034200
11466141027234
121921840b9734
139686bb34510
1447679c62b68
152419c1ea4ba
hex1315058fbd8

1311313034200 has 192 divisors, whose sum is σ = 3300094717920. Its totient is φ = 481711104000.

The previous prime is 1311313034189. The next prime is 1311313034201. The reversal of 1311313034200 is 24303131131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311313034201) 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, 500308890 + ... + 500311510.

Almost surely, 21311313034200 is an apocalyptic number.

1311313034200 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 1311313034200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1650047358960).

1311313034200 is an abundant number, since it is smaller than the sum of its proper divisors (1988781683720).

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

1311313034200 is a wasteful number, since it uses less digits than its factorization.

1311313034200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3558 (or 3549 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 1311313034200 its reverse (24303131131), we get a palindrome (1335616165331).

The spelling of 1311313034200 in words is "one trillion, three hundred eleven billion, three hundred thirteen million, thirty-four thousand, two hundred".