Search a number
-
+
323131010022 = 233972635977
BaseRepresentation
bin1001011001111000001…
…10111110101111100110
31010220001120000002022000
410230330012332233212
520243233014310042
6404235550550130
732226326160342
oct4547406765746
91126046002260
10323131010022
11115048038507
125275bb08346
132461809b1a2
14118d51b4622
15861324b74c
hex4b3c1bebe6

323131010022 has 48 divisors (see below), whose sum is σ = 725549141520. Its totient is φ = 106599753216.

The previous prime is 323131010021. The next prime is 323131010023. The reversal of 323131010022 is 220010131323.

323131010022 is a `hidden beast` number, since 3 + 231 + 310 + 100 + 22 = 666.

It is an interprime number because it is at equal distance from previous prime (323131010021) and next prime (323131010023).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 323131009977 and 323131010004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (323131010021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 190098 + ... + 826074.

It is an arithmetic number, because the mean of its divisors is an integer number (15115607115).

Almost surely, 2323131010022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 323131010022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362774570760).

323131010022 is an abundant number, since it is smaller than the sum of its proper divisors (402418131498).

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

323131010022 is an equidigital number, since it uses as much as digits as its factorization.

323131010022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636182 (or 636079 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 323131010022 its reverse (220010131323), we get a palindrome (543141141345).

The spelling of 323131010022 in words is "three hundred twenty-three billion, one hundred thirty-one million, ten thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 54 97 194 291 582 873 1746 2619 5238 9409 18818 28227 56454 84681 169362 254043 508086 635977 1271954 1907931 3815862 5723793 11447586 17171379 34342758 61689769 123379538 185069307 370138614 555207921 1110415842 1665623763 3331247526 5983907593 11967815186 17951722779 35903445558 53855168337 107710336674 161565505011 323131010022