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101311203331 = 13359132116433
BaseRepresentation
bin101111001011010011…
…1100100100000000011
3100200111112220101002001
41132112213210200003
53124441132001311
6114313002404431
710214405006512
oct1362647444003
9320445811061
10101311203331
1139a69595618
1217774b00717
13972736abc0
144c9125a679
15297e3de4c1
hex17969e4803

101311203331 has 16 divisors (see below), whose sum is σ = 109497769920. Its totient is φ = 93181271040.

The previous prime is 101311203283. The next prime is 101311203337. The reversal of 101311203331 is 133302113101.

It is not a de Polignac number, because 101311203331 - 217 = 101311072259 is a prime.

It is a super-2 number, since 2×1013112033312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101311203299 and 101311203308.

It is not an unprimeable number, because it can be changed into a prime (101311203337) 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 15 ways as a sum of consecutive naturals, for example, 6156891 + ... + 6173323.

It is an arithmetic number, because the mean of its divisors is an integer number (6843610620).

Almost surely, 2101311203331 is an apocalyptic number.

101311203331 is a deficient number, since it is larger than the sum of its proper divisors (8186566589).

101311203331 is a wasteful number, since it uses less digits than its factorization.

101311203331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18126.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 101311203331 its reverse (133302113101), we get a palindrome (234613316432).

The spelling of 101311203331 in words is "one hundred one billion, three hundred eleven million, two hundred three thousand, three hundred thirty-one".

Divisors: 1 13 359 1321 4667 16433 17173 213629 474239 5899447 6165107 21707993 76692811 282203909 7793169487 101311203331