Search a number
-
+
231322221312 = 28371328111779
BaseRepresentation
bin1101011101101111100…
…0001111101100000000
3211010002020120101112020
43113123320033230000
512242221442040222
6254133514001440
722466244303330
oct3273370175400
9733066511466
10231322221312
118a1153aa716
12389b9416280
1318a765cc740
14b2a5d930c0
15603d1cc65c
hex35dbe0fb00

231322221312 has 288 divisors, whose sum is σ = 760489658880. Its totient is φ = 60785786880.

The previous prime is 231322221293. The next prime is 231322221337. The reversal of 231322221312 is 213122223132.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19632639 + ... + 19644417.

Almost surely, 2231322221312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231322221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380244829440).

231322221312 is an abundant number, since it is smaller than the sum of its proper divisors (529167437568).

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

231322221312 is a wasteful number, since it uses less digits than its factorization.

231322221312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12099 (or 12085 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

Adding to 231322221312 its reverse (213122223132), we get a palindrome (444444444444).

The spelling of 231322221312 in words is "two hundred thirty-one billion, three hundred twenty-two million, two hundred twenty-one thousand, three hundred twelve".