Search a number
-
+
231222300100000 = 2555112103185527
BaseRepresentation
bin110100100100101110100011…
…000011111100010110100000
31010022200122011122121101022121
4310210232203003330112200
5220301321232311200000
62135434020325514024
766463155101312626
oct6444564303742640
91108618148541277
10231222300100000
11677469104a9700
1221b24520572914
139c0322806c271
14411530d077516
151bae9516b0b1a
hexd24ba30fc5a0

231222300100000 has 432 divisors, whose sum is σ = 631491096233088. Its totient is φ = 83264068800000.

The previous prime is 231222300099971. The next prime is 231222300100039. The reversal of 231222300100000 is 1003222132.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1246207237 + ... + 1246392763.

It is an arithmetic number, because the mean of its divisors is an integer number (1461784944984).

Almost surely, 2231222300100000 is an apocalyptic number.

231222300100000 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 231222300100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315745548116544).

231222300100000 is an abundant number, since it is smaller than the sum of its proper divisors (400268796133088).

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

231222300100000 is a wasteful number, since it uses less digits than its factorization.

231222300100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185687 (or 185648 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 231222300100000 its reverse (1003222132), we get a palindrome (231223303322132).

The spelling of 231222300100000 in words is "two hundred thirty-one trillion, two hundred twenty-two billion, three hundred million, one hundred thousand".