Search a number
-
+
222120131003 = 17611091965091
BaseRepresentation
bin1100111011011101100…
…1000011100110111011
3210020022221012202201122
43032313121003212323
512114400223143003
6250012433135455
722022225650601
oct3166731034673
9706287182648
10222120131003
1186223029001
123706b6ba58b
1317c3b0128a4
14aa71bb3871
155ba03d2238
hex33b76439bb

222120131003 has 16 divisors (see below), whose sum is σ = 241234693920. Its totient is φ = 203740531200.

The previous prime is 222120130957. The next prime is 222120131029. The reversal of 222120131003 is 300131021222.

It is a cyclic number.

It is not a de Polignac number, because 222120131003 - 232 = 217825163707 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (222120131063) 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, 869513 + ... + 1095578.

It is an arithmetic number, because the mean of its divisors is an integer number (15077168370).

Almost surely, 2222120131003 is an apocalyptic number.

222120131003 is a deficient number, since it is larger than the sum of its proper divisors (19114562917).

222120131003 is a wasteful number, since it uses less digits than its factorization.

222120131003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1965278.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 222120131003 its reverse (300131021222), we get a palindrome (522251152225).

The spelling of 222120131003 in words is "two hundred twenty-two billion, one hundred twenty million, one hundred thirty-one thousand, three".

Divisors: 1 17 61 109 1037 1853 6649 113033 1965091 33406547 119870551 214194919 2037799367 3641313623 13065890059 222120131003