Search a number
-
+
200322322102032 = 24313893607071487
BaseRepresentation
bin101101100011000100101100…
…110110010111011100010000
3222021021121221001112100201020
4231203010230312113130100
5202224040103424231112
61550014445422435440
760123544613060634
oct5543045466273420
9867247831470636
10200322322102032
1158913246486259
121a573984432b80
1387a14108a8690
14376791b5d0dc4
151825c9b2a448c
hexb6312cd97710

200322322102032 has 80 divisors (see below), whose sum is σ = 563568849285120. Its totient is φ = 60945079827456.

The previous prime is 200322322101901. The next prime is 200322322102033. The reversal of 200322322102032 is 230201223223002.

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

It is a junction number, because it is equal to n+sod(n) for n = 200322322101993 and 200322322102011.

It is not an unprimeable number, because it can be changed into a prime (200322322102033) 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 15 ways as a sum of consecutive naturals, for example, 1803480208 + ... + 1803591279.

It is an arithmetic number, because the mean of its divisors is an integer number (7044610616064).

Almost surely, 2200322322102032 is an apocalyptic number.

It is an amenable number.

200322322102032 is an abundant number, since it is smaller than the sum of its proper divisors (363246527183088).

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

200322322102032 is a wasteful number, since it uses less digits than its factorization.

200322322102032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3607071600 (or 3607071594 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 200322322102032 its reverse (230201223223002), we get a palindrome (430523545325034).

The spelling of 200322322102032 in words is "two hundred trillion, three hundred twenty-two billion, three hundred twenty-two million, one hundred two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 89 104 156 178 208 267 312 356 534 624 712 1068 1157 1424 2136 2314 3471 4272 4628 6942 9256 13884 18512 27768 55536 3607071487 7214142974 10821214461 14428285948 21642428922 28856571896 43284857844 46891929331 57713143792 86569715688 93783858662 140675787993 173139431376 187567717324 281351575986 321029362343 375135434648 562703151972 642058724686 750270869296 963088087029 1125406303944 1284117449372 1926176174058 2250812607888 2568234898744 3852352348116 4173381710459 5136469797488 7704704696232 8346763420918 12520145131377 15409409392464 16693526841836 25040290262754 33387053683672 50080580525508 66774107367344 100161161051016 200322322102032