Search a number
-
+
231122100000000 = 283581126367
BaseRepresentation
bin110100100011010001001110…
…101010111001010100000000
31010022100001112112102220110210
4310203101032222321110000
5220243201030100000000
62135320005453554120
766453010044442326
oct6443211652712400
91108301475386423
10231122100000000
1167708372122500
1221b090177a5940
139bc6949c6bb71
144110525609d16
151bac039aec350
hexd2344eab9500

231122100000000 has 972 divisors, whose sum is σ = 845289379711616. Its totient is φ = 56020800000000.

The previous prime is 231122099999941. The next prime is 231122100000007. The reversal of 231122100000000 is 1221132.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231122100000007) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 36299996817 + ... + 36300003183.

Almost surely, 2231122100000000 is an apocalyptic number.

231122100000000 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 231122100000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422644689855808).

231122100000000 is an abundant number, since it is smaller than the sum of its proper divisors (614167279711616).

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

231122100000000 is an frugal number, since it uses more digits than its factorization.

231122100000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6448 (or 6388 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 231122100000000 its reverse (1221132), we get a palindrome (231122101221132).

The spelling of 231122100000000 in words is "two hundred thirty-one trillion, one hundred twenty-two billion, one hundred million", and thus it is an aban number.