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201302221131 = 32112518101019
BaseRepresentation
bin1011101101111010001…
…1000010000101001011
3201020121002122101001200
42323132203002011023
511244231332034011
6232251005115243
720354312435034
oct2733643020513
9636532571050
10201302221131
117840a946210
123301b858b23
1315ca105411b
149a5901da8b
155382952856
hex2ede8c214b

201302221131 has 24 divisors (see below), whose sum is σ = 318467298240. Its totient is φ = 121515270000.

The previous prime is 201302221123. The next prime is 201302221157. The reversal of 201302221131 is 131122203102.

201302221131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 201302221131 - 23 = 201302221123 is a prime.

It is a super-2 number, since 2×2013022211312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (201302221181) 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 23 ways as a sum of consecutive naturals, for example, 4025661 + ... + 4075358.

It is an arithmetic number, because the mean of its divisors is an integer number (13269470760).

Almost surely, 2201302221131 is an apocalyptic number.

201302221131 is a deficient number, since it is larger than the sum of its proper divisors (117165077109).

201302221131 is a wasteful number, since it uses less digits than its factorization.

201302221131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8101287 (or 8101284 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 201302221131 its reverse (131122203102), we get a palindrome (332424424233).

The spelling of 201302221131 in words is "two hundred one billion, three hundred two million, two hundred twenty-one thousand, one hundred thirty-one".

Divisors: 1 3 9 11 33 99 251 753 2259 2761 8283 24849 8101019 24303057 72909171 89111209 267333627 802000881 2033355769 6100067307 18300201921 22366913459 67100740377 201302221131