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2312322233130 = 23357131737157953
BaseRepresentation
bin100001101001100001001…
…001010011001100101010
322012001111201020011211000
4201221201021103030222
5300341113442430010
64530133254215430
7326026333453350
oct41514111231452
98161451204730
102312322233130
11811717689228
12314188054576
1313a08820b290
147dcba32d7d0
154023735d7c0
hex21a6125332a

2312322233130 has 1024 divisors, whose sum is σ = 8314039480320. Its totient is φ = 443454455808.

The previous prime is 2312322233101. The next prime is 2312322233153. The reversal of 2312322233130 is 313322232132.

2312322233130 is a `hidden beast` number, since 2 + 3 + 1 + 2 + 322 + 2 + 331 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2312322233094 and 2312322233103.

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 511 ways as a sum of consecutive naturals, for example, 2426360734 + ... + 2426361686.

It is an arithmetic number, because the mean of its divisors is an integer number (8119179180).

Almost surely, 22312322233130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2312322233130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4157019740160).

2312322233130 is an abundant number, since it is smaller than the sum of its proper divisors (6001717247190).

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

2312322233130 is a wasteful number, since it uses less digits than its factorization.

2312322233130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 2312322233130 its reverse (313322232132), we get a palindrome (2625644465262).

It can be divided in two parts, 2312322 and 233130, that added together give a palindrome (2545452).

The spelling of 2312322233130 in words is "two trillion, three hundred twelve billion, three hundred twenty-two million, two hundred thirty-three thousand, one hundred thirty".