Search a number
-
+
10002233322032 = 2471734937104561
BaseRepresentation
bin1001000110001101001110…
…0100000110101000110000
31022102012111211121202201012
42101203103210012220300
52302334033212301112
633134543524530052
72051431444306250
oct221432344065060
938365454552635
1010002233322032
113206a17a52a06
1211565bb850928
1357728ba55c53
142681799a1960
151252ab043022
hex918d3906a30

10002233322032 has 80 divisors (see below), whose sum is σ = 22280549435712. Its totient is φ = 4260988968960.

The previous prime is 10002233321957. The next prime is 10002233322043. The reversal of 10002233322032 is 23022333220001.

It is a junction number, because it is equal to n+sod(n) for n = 10002233321989 and 10002233322007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95607032 + ... + 95711592.

Almost surely, 210002233322032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10002233322032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11140274717856).

10002233322032 is an abundant number, since it is smaller than the sum of its proper divisors (12278316113680).

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

10002233322032 is a wasteful number, since it uses less digits than its factorization.

10002233322032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109686 (or 109680 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

Adding to 10002233322032 its reverse (23022333220001), we get a palindrome (33024566542033).

The spelling of 10002233322032 in words is "ten trillion, two billion, two hundred thirty-three million, three hundred twenty-two thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 173 346 692 1211 1384 2422 2768 4844 4937 9688 9874 19376 19748 34559 39496 69118 78992 104561 138236 209122 276472 418244 552944 731927 836488 854101 1463854 1672976 1708202 2927708 3416404 5855416 5978707 6832808 11710832 11957414 13665616 18089053 23914828 36178106 47829656 72356212 95659312 126623371 144712424 253246742 289424848 506493484 516217657 1012986968 1032435314 2025973936 2064870628 3613523599 4129741256 7227047198 8259482512 14454094396 28908188792 57816377584 89305654661 178611309322 357222618644 625139582627 714445237288 1250279165254 1428890474576 2500558330508 5001116661016 10002233322032