Search a number
-
+
111311122020000 = 25354717107367397
BaseRepresentation
bin11001010011110010100011…
…111000110011011010100000
3112121010020110110221101112220
4121103302203320303122200
5104042210134214120000
61032423342402551040
732305651241020440
oct3123624370633240
9477106413841486
10111311122020000
1132515866561651
1210598a11668480
134a15794676706
141d6b6b6680120
15cd06cec7b1a0
hex653ca3e336a0

111311122020000 has 1920 divisors, whose sum is σ = 448299973287936. Its totient is φ = 23597899776000.

The previous prime is 111311122019989. The next prime is 111311122020001. The reversal of 111311122020000 is 20221113111.

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

It is not an unprimeable number, because it can be changed into a prime (111311122020001) by changing a digit.

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 319 ways as a sum of consecutive naturals, for example, 280380659802 + ... + 280380660198.

Almost surely, 2111311122020000 is an apocalyptic number.

111311122020000 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 111311122020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224149986643968).

111311122020000 is an abundant number, since it is smaller than the sum of its proper divisors (336988851267936).

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

111311122020000 is a wasteful number, since it uses less digits than its factorization.

111311122020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 111311122020000 its reverse (20221113111), we get a palindrome (111331343133111).

The spelling of 111311122020000 in words is "one hundred eleven trillion, three hundred eleven billion, one hundred twenty-two million, twenty thousand".