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201312222301 = 2937533539929
BaseRepresentation
bin1011101101111100100…
…1001011110001011101
3201020121210110111002101
42323133021023301131
511244241412103201
6232252003325101
720354463441001
oct2733711136135
9636553414071
10201312222301
1178415557243
1233023080791
1315ca3146388
149a5a4a4701
15538377ad01
hex2edf24bc5d

201312222301 has 16 divisors (see below), whose sum is σ = 217918090800. Its totient is φ = 185548866048.

The previous prime is 201312222281. The next prime is 201312222311. The reversal of 201312222301 is 103222213102.

It can be written as a sum of positive squares in 8 ways, for example, as 44675163225 + 156637059076 = 211365^2 + 395774^2 .

It is a cyclic number.

It is not a de Polignac number, because 201312222301 - 231 = 199164738653 is a prime.

It is a super-2 number, since 2×2013122223012 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201312222311) 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, 1713096 + ... + 1826833.

It is an arithmetic number, because the mean of its divisors is an integer number (13619880675).

Almost surely, 2201312222301 is an apocalyptic number.

It is an amenable number.

201312222301 is a deficient number, since it is larger than the sum of its proper divisors (16605868499).

201312222301 is a wasteful number, since it uses less digits than its factorization.

201312222301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3540048.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 201312222301 its reverse (103222213102), we get a palindrome (304534435403).

The spelling of 201312222301 in words is "two hundred one billion, three hundred twelve million, two hundred twenty-two thousand, three hundred one".

Divisors: 1 29 37 53 1073 1537 1961 56869 3539929 102657941 130977373 187616237 3798343817 5440870873 6941800769 201312222301