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220322131001 = 7172380497673
BaseRepresentation
bin1100110100110000111…
…0001110110000111001
3210001200121221220101222
43031030032032300321
512102204431143001
6245114203521425
721626534133230
oct3151416166071
9701617856358
10220322131001
118549010aa95
1236849529275
1317a12672c6b
14a94109bb17
155ae762161b
hex334c38ec39

220322131001 has 16 divisors (see below), whose sum is σ = 278199961344. Its totient is φ = 170011083264.

The previous prime is 220322130997. The next prime is 220322131031. The reversal of 220322131001 is 100131223022.

220322131001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 220322131001 - 22 = 220322130997 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 (220322131031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40246100 + ... + 40251573.

It is an arithmetic number, because the mean of its divisors is an integer number (17387497584).

Almost surely, 2220322131001 is an apocalyptic number.

It is an amenable number.

220322131001 is a deficient number, since it is larger than the sum of its proper divisors (57877830343).

220322131001 is a wasteful number, since it uses less digits than its factorization.

220322131001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80497720.

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

Adding to 220322131001 its reverse (100131223022), we get a palindrome (320453354023).

The spelling of 220322131001 in words is "two hundred twenty billion, three hundred twenty-two million, one hundred thirty-one thousand, one".

Divisors: 1 7 17 23 119 161 391 2737 80497673 563483711 1368460441 1851446479 9579223087 12960125353 31474590143 220322131001