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11320120131 = 3412292711483
BaseRepresentation
bin10101000101011101…
…10101001101000011
31002012220210200111120
422202232311031003
5141140422321011
65111141243323
7550344301455
oct124256651503
932186720446
1011320120131
114889a04891
12223b103543
1310b534b448
147956002d5
15463c24a06
hex2a2bb5343

11320120131 has 32 divisors (see below), whose sum is σ = 15596958720. Its totient is φ = 7298553600.

The previous prime is 11320120111. The next prime is 11320120153. The reversal of 11320120131 is 13102102311.

It is a happy number.

11320120131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11320120131 - 25 = 11320120099 is a prime.

It is a super-2 number, since 2×113201201312 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11320120131.

It is not an unprimeable number, because it can be changed into a prime (11320120111) 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, 7632516 + ... + 7633998.

It is an arithmetic number, because the mean of its divisors is an integer number (487404960).

Almost surely, 211320120131 is an apocalyptic number.

11320120131 is a deficient number, since it is larger than the sum of its proper divisors (4276838589).

11320120131 is a wasteful number, since it uses less digits than its factorization.

11320120131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2027.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 11320120131 its reverse (13102102311), we get a palindrome (24422222442).

The spelling of 11320120131 in words is "eleven billion, three hundred twenty million, one hundred twenty thousand, one hundred thirty-one".

Divisors: 1 3 41 123 229 271 687 813 1483 4449 9389 11111 28167 33333 60803 62059 182409 186177 339607 401893 1018821 1205679 2544419 7633257 13923887 16477613 41771661 49432839 92033497 276100491 3773373377 11320120131