Search a number
-
+
2053311000000 = 26356131719163
BaseRepresentation
bin11101111000010010110…
…111110110110111000000
321021021221202220020201120
4131320102313312313000
5232120140104000000
64211140020432240
7301226650346031
oct35702267666700
97237852806646
102053311000000
11721893591177
12291b41848680
1311b81b2681a0
1471548c20a88
15386283996a0
hex1de12df6dc0

2053311000000 has 1568 divisors, whose sum is σ = 8200920026880. Its totient is φ = 447897600000.

The previous prime is 2053310999959. The next prime is 2053311000029. The reversal of 2053311000000 is 1133502.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 12596999919 + ... + 12597000081.

Almost surely, 22053311000000 is an apocalyptic number.

2053311000000 is a gapful number since it is divisible by the number (20) 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 2053311000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4100460013440).

2053311000000 is an abundant number, since it is smaller than the sum of its proper divisors (6147609026880).

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

2053311000000 is a wasteful number, since it uses less digits than its factorization.

2053311000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

Adding to 2053311000000 its reverse (1133502), we get a palindrome (2053312133502).

The spelling of 2053311000000 in words is "two trillion, fifty-three billion, three hundred eleven million", and thus it is an aban number.