Search a number
-
+
10022002221010 = 2513222212670049
BaseRepresentation
bin1001000111010110110111…
…1000011101111111010010
31022111002112120021212221211
42101311231320131333102
52303200030032033020
633152013321010334
72053031362213243
oct221655570357722
938432476255854
1010022002221010
113214341a8734a
12115a3b83239aa
135790bc5a7400
142690d32cacca
15125a6685e85a
hex91d6de1dfd2

10022002221010 has 48 divisors (see below), whose sum is σ = 19542811523400. Its totient is φ = 3698764093440.

The previous prime is 10022002220939. The next prime is 10022002221019. The reversal of 10022002221010 is 1012220022001.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 69384301281 + 9952617919729 = 263409^2 + 3154777^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (10022002221019) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2418466 + ... + 5088514.

Almost surely, 210022002221010 is an apocalyptic number.

10022002221010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10022002221010 is a deficient number, since it is larger than the sum of its proper divisors (9520809302390).

10022002221010 is a wasteful number, since it uses less digits than its factorization.

10022002221010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2672303 (or 2672290 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10022002221010 its reverse (1012220022001), we get a palindrome (11034222243011).

The spelling of 10022002221010 in words is "ten trillion, twenty-two billion, two million, two hundred twenty-one thousand, ten".

Divisors: 1 2 5 10 13 26 65 130 169 338 845 1690 2221 4442 11105 22210 28873 57746 144365 288730 375349 750698 1876745 2670049 3753490 5340098 13350245 26700490 34710637 69421274 173553185 347106370 451238281 902476562 2256191405 4512382810 5930178829 11860357658 29650894145 59301788290 77092324777 154184649554 385461623885 770923247770 1002200222101 2004400444202 5011001110505 10022002221010