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1311033120201 = 327371758131991
BaseRepresentation
bin10011000100111111101…
…010011101010111001001
311122100000011010000211200
4103010333222131113021
5132434443434321301
62442140313414413
7163501423436520
oct23047752352711
94570004100750
101311033120201
11466008021752
1219210640a409
1396825b4a02c
14476509db4b7
1524182857c86
hex1313fa9d5c9

1311033120201 has 48 divisors (see below), whose sum is σ = 2222934175488. Its totient is φ = 728849923200.

The previous prime is 1311033120179. The next prime is 1311033120263. The reversal of 1311033120201 is 1020213301131.

1311033120201 is a `hidden beast` number, since 1 + 3 + 110 + 331 + 20 + 201 = 666.

It is not a de Polignac number, because 1311033120201 - 25 = 1311033120169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1311033120281) 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 47 ways as a sum of consecutive naturals, for example, 40965316 + ... + 40997306.

It is an arithmetic number, because the mean of its divisors is an integer number (46311128656).

Almost surely, 21311033120201 is an apocalyptic number.

It is an amenable number.

1311033120201 is a deficient number, since it is larger than the sum of its proper divisors (911901055287).

1311033120201 is a wasteful number, since it uses less digits than its factorization.

1311033120201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49622 (or 49619 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1311033120201 its reverse (1020213301131), we get a palindrome (2331246421332).

The spelling of 1311033120201 in words is "one trillion, three hundred eleven billion, thirty-three million, one hundred twenty thousand, two hundred one".

Divisors: 1 3 7 9 21 37 63 111 259 333 777 2331 17581 31991 52743 95973 123067 158229 223937 287919 369201 650497 671811 1107603 1183667 1951491 2015433 3551001 4553479 5854473 8285669 10653003 13660437 24857007 40981311 74571021 562433771 1687301313 3937036397 5061903939 11811109191 20810049527 35433327573 62430148581 145670346689 187290445743 437011040067 1311033120201