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312111202303201 = 7198976631344083
BaseRepresentation
bin100011011110111010000110…
…1010101111111110011100001
31111221002112120022202222221211
41012331310031111333303201
5311402112220242200301
63023445523521350121
7122512201356463150
oct10675641525776341
91457075508688854
10312111202303201
11904a2687a83644
122b0092aa198341
131051cc634111c2
145710397167597
152613ade1ba051
hex11bdd0d57fce1

312111202303201 has 32 divisors (see below), whose sum is σ = 379696969267200. Its totient is φ = 250592002784640.

The previous prime is 312111202303079. The next prime is 312111202303223. The reversal of 312111202303201 is 102303202111213.

It is a cyclic number.

It is not a de Polignac number, because 312111202303201 - 211 = 312111202301153 is a prime.

It is a super-2 number, since 2×3121112023032012 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312111202303291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 906909106 + ... + 907253188.

It is an arithmetic number, because the mean of its divisors is an integer number (11865530289600).

Almost surely, 2312111202303201 is an apocalyptic number.

It is an amenable number.

312111202303201 is a deficient number, since it is larger than the sum of its proper divisors (67585766963999).

312111202303201 is a wasteful number, since it uses less digits than its factorization.

312111202303201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420829.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 312111202303201 its reverse (102303202111213), we get a palindrome (414414404414414).

The spelling of 312111202303201 in words is "three hundred twelve trillion, one hundred eleven billion, two hundred two million, three hundred three thousand, two hundred one".

Divisors: 1 7 19 89 133 623 1691 11837 76631 344083 536417 1455989 2408581 6537577 6820159 10191923 30623387 45763039 47741113 129583021 214363709 581844353 907081147 4072910471 26367424373 184571970611 500981063087 2346700769197 3506867441609 16426905384379 44587314614743 312111202303201