Search a number
-
+
323022213231030 = 232523333153822299
BaseRepresentation
bin100100101110010010111100…
…0010001100011000110110110
31120100201121210102210102102100
41021130211320101203012312
5314314343443041343110
63103002204532322530
7125016404400226425
oct11134457021430666
91510647712712370
10323022213231030
1193a19a51219505
123028ba51773446
1310b31b302a8121
1459aa503b952bc
152752838136bc0
hex125c9784631b6

323022213231030 has 48 divisors (see below), whose sum is σ = 839893754278800. Its totient is φ = 86135564566464.

The previous prime is 323022213230933. The next prime is 323022213231097. The reversal of 323022213231030 is 30132312220323.

323022213231030 is a `hidden beast` number, since 3 + 2 + 302 + 2 + 2 + 1 + 323 + 1 + 0 + 30 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 323022213230985 and 323022213231003.

It is a congruent number.

It is an unprimeable number.

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, 74811180 + ... + 79011119.

It is an arithmetic number, because the mean of its divisors is an integer number (17497786547475).

Almost surely, 2323022213231030 is an apocalyptic number.

323022213231030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

323022213231030 is an abundant number, since it is smaller than the sum of its proper divisors (516871541047770).

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

323022213231030 is a wasteful number, since it uses less digits than its factorization.

323022213231030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153845645 (or 153845642 counting only the distinct ones).

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

Adding to 323022213231030 its reverse (30132312220323), we get a palindrome (353154525451353).

The spelling of 323022213231030 in words is "three hundred twenty-three trillion, twenty-two billion, two hundred thirteen million, two hundred thirty-one thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 23333 46666 69999 116665 139998 209997 233330 349995 419994 699990 1049985 2099970 153822299 307644598 461466897 769111495 922933794 1384400691 1538222990 2307334485 2768801382 4614668970 6922003455 13844006910 3589135702567 7178271405134 10767407107701 17945678512835 21534814215402 32302221323103 35891357025670 53837035538505 64604442646206 107674071077010 161511106615515 323022213231030