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211320313001 = 735325934483
BaseRepresentation
bin1100010011001110101…
…1000001010010101001
3202012110021110011120022
43010303223001102221
511430241000004001
6241025035410225
721160500011000
oct3046353012251
9665407404508
10211320313001
1181690897986
1234b568b3975
1316c09707335
14a329731c37
15576c1d611b
hex3133ac14a9

211320313001 has 32 divisors (see below), whose sum is σ = 251240313600. Its totient is φ = 177605955072.

The previous prime is 211320312997. The next prime is 211320313013. The reversal of 211320313001 is 100313023112.

It is not a de Polignac number, because 211320313001 - 22 = 211320312997 is a prime.

It is a super-3 number, since 3×2113203130013 (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (211320313201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47135906 + ... + 47140388.

It is an arithmetic number, because the mean of its divisors is an integer number (7851259800).

Almost surely, 2211320313001 is an apocalyptic number.

It is an amenable number.

211320313001 is a deficient number, since it is larger than the sum of its proper divisors (39920000599).

211320313001 is an equidigital number, since it uses as much as digits as its factorization.

211320313001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7150 (or 7136 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 211320313001 its reverse (100313023112), we get a palindrome (311633336113).

The spelling of 211320313001 in words is "two hundred eleven billion, three hundred twenty million, three hundred thirteen thousand, one".

Divisors: 1 7 49 53 343 371 2593 2597 4483 18151 18179 31381 127057 137429 219667 237599 889399 962003 1537669 1663193 6734021 11624419 11642351 47138147 81370933 81496457 569596531 616094207 3987175717 4312659449 30188616143 211320313001