Search a number
-
+
20132331000000 = 2635646114557
BaseRepresentation
bin1001001001111011011000…
…11100000001000011000000
32122021122001202120211010220
410210331230130001003000
510114322003214000000
6110452355402423040
74145340633662412
oct444755434010300
978248052524126
1020132331000000
11646208a000a4a
122311944b01a80
13b306170958bb
144d85a51449b2
1524da4c6911a0
hex124f6c7010c0

20132331000000 has 392 divisors, whose sum is σ = 66731653011408. Its totient is φ = 5356608000000.

The previous prime is 20132330999959. The next prime is 20132331000017. The reversal of 20132331000000 is 13323102.

It is a super-2 number, since 2×201323310000002 (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1382992722 + ... + 1383007278.

Almost surely, 220132331000000 is an apocalyptic number.

20132331000000 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 20132331000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33365826505704).

20132331000000 is an abundant number, since it is smaller than the sum of its proper divisors (46599322011408).

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

20132331000000 is an frugal number, since it uses more digits than its factorization.

20132331000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15063 (or 15028 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 20132331000000 its reverse (13323102), we get a palindrome (20132344323102).

The spelling of 20132331000000 in words is "twenty trillion, one hundred thirty-two billion, three hundred thirty-one million", and thus it is an aban number.