Search a number
-
+
323202320232030 = 2345537528588871
BaseRepresentation
bin100100101111100110110011…
…1011111001110111001011110
31120101100211200101220001110000
41021133031213133032321132
5314330321322434411110
63103221032434355130
7125035411535411001
oct11137154737167136
91511324611801400
10323202320232030
1193a893749a4068
12302ba93712baa6
1310b45b04144975
1459b510bc85538
152757379e291c0
hex125f3677cee5e

323202320232030 has 80 divisors (see below), whose sum is σ = 885452394413664. Its totient is φ = 84561110187840.

The previous prime is 323202320231933. The next prime is 323202320232041. The reversal of 323202320232030 is 30232023202323.

323202320232030 is a `hidden beast` number, since 3 + 232 + 0 + 23 + 202 + 3 + 203 + 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 = 323202320231985 and 323202320232003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3764251506 + ... + 3764337365.

Almost surely, 2323202320232030 is an apocalyptic number.

323202320232030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

323202320232030 is an abundant number, since it is smaller than the sum of its proper divisors (562250074181634).

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

323202320232030 is a wasteful number, since it uses less digits than its factorization.

323202320232030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7528588943 (or 7528588934 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 27.

Adding to 323202320232030 its reverse (30232023202323), we get a palindrome (353434343434353).

The spelling of 323202320232030 in words is "three hundred twenty-three trillion, two hundred two billion, three hundred twenty million, two hundred thirty-two thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 53 54 81 90 106 135 159 162 265 270 318 405 477 530 795 810 954 1431 1590 2385 2862 4293 4770 7155 8586 14310 21465 42930 7528588871 15057177742 22585766613 37642944355 45171533226 67757299839 75285888710 112928833065 135514599678 203271899517 225857666130 338786499195 399015210163 406543799034 609815698551 677572998390 798030420326 1016359497585 1197045630489 1219631397102 1995076050815 2032718995170 2394091260978 3049078492755 3591136891467 3990152101630 5985228152445 6098156985510 7182273782934 10773410674401 11970456304890 17955684457335 21546821348802 32320232023203 35911368914670 53867053372005 64640464046406 107734106744010 161601160116015 323202320232030