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313311320101 = 131719346121559
BaseRepresentation
bin1001000111100101100…
…11110101100000100101
31002221201012112011002201
410203302303311200211
520113130144220401
6355533324534501
731431101164633
oct4436263654045
91087635464081
10313311320101
1111096908809a
125087b3b1431
1323711862a90
1411242d8a353
15823b108b01
hex48f2cf5825

313311320101 has 32 divisors (see below), whose sum is σ = 376189228800. Its totient is φ = 257785390080.

The previous prime is 313311320081. The next prime is 313311320111. The reversal of 313311320101 is 101023113313.

It is a cyclic number.

It is not a de Polignac number, because 313311320101 - 29 = 313311319589 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313311320111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14521960 + ... + 14543518.

It is an arithmetic number, because the mean of its divisors is an integer number (11755913400).

Almost surely, 2313311320101 is an apocalyptic number.

It is an amenable number.

313311320101 is a deficient number, since it is larger than the sum of its proper divisors (62877908699).

313311320101 is a wasteful number, since it uses less digits than its factorization.

313311320101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25069.

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

Adding to 313311320101 its reverse (101023113313), we get a palindrome (414334433414).

The spelling of 313311320101 in words is "three hundred thirteen billion, three hundred eleven million, three hundred twenty thousand, one hundred one".

Divisors: 1 13 17 19 221 247 323 3461 4199 21559 44993 58837 65759 280267 366503 409621 764881 854867 1117903 4764539 5325073 6963557 14532739 74615699 90526241 970004087 1268466883 1417698281 16490069479 18430077653 24100870777 313311320101