Search a number
-
+
2121301000000 = 265671323311
BaseRepresentation
bin11110110111100111011…
…001000111111101000000
321111210110010002002221201
4132313213121013331000
5234223411024000000
64302302350230544
7306154546664260
oct36674731077500
97453403062851
102121301000000
11748703126516
122a31574b5454
13125065146910
14749588d77a0
153a2a72be96a
hex1ede7647f40

2121301000000 has 392 divisors, whose sum is σ = 6476282102528. Its totient is φ = 671328000000.

The previous prime is 2121300999991. The next prime is 2121301000067. The reversal of 2121301000000 is 1031212.

It is a super-3 number, since 3×21213010000003 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 90988345 + ... + 91011655.

Almost surely, 22121301000000 is an apocalyptic number.

2121301000000 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 2121301000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3238141051264).

2121301000000 is an abundant number, since it is smaller than the sum of its proper divisors (4354981102528).

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

2121301000000 is an frugal number, since it uses more digits than its factorization.

2121301000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23373 (or 23338 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 2121301000000 its reverse (1031212), we get a palindrome (2121302031212).

The spelling of 2121301000000 in words is "two trillion, one hundred twenty-one billion, three hundred one million", and thus it is an aban number.