Search a number
-
+
231232331022000 = 24353711769787827
BaseRepresentation
bin110100100100110111111000…
…111100110111111010110000
31010022201121001201120000110020
4310210313320330313322300
5220302002303220201000
62135442355535203440
766463661502613320
oct6444677074677260
91108647051500406
10231232331022000
1167750098713890
1221b2645b976580
139c04166295279
1441159c1369280
151baed3c12aba0
hexd24df8f37eb0

231232331022000 has 1280 divisors, whose sum is σ = 932963806494720. Its totient is φ = 47866871808000.

The previous prime is 231232331021977. The next prime is 231232331022001. The reversal of 231232331022000 is 220133232132.

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

It is not an unprimeable number, because it can be changed into a prime (231232331022001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 279603785587 + ... + 279603786413.

It is an arithmetic number, because the mean of its divisors is an integer number (728877973824).

Almost surely, 2231232331022000 is an apocalyptic number.

231232331022000 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 231232331022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466481903247360).

231232331022000 is an abundant number, since it is smaller than the sum of its proper divisors (701731475472720).

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

231232331022000 is a wasteful number, since it uses less digits than its factorization.

231232331022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2427 (or 2411 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 231232331022000 its reverse (220133232132), we get a palindrome (231452464254132).

The spelling of 231232331022000 in words is "two hundred thirty-one trillion, two hundred thirty-two billion, three hundred thirty-one million, twenty-two thousand".