Search a number
-
+
311442401130 = 235721012097679
BaseRepresentation
bin1001000100000110110…
…10011110011101101010
31002202212221211020020120
410202003122132131222
520100313223314010
6355024043304110
731333555505400
oct4420332363552
91082787736216
10311442401130
1111009a130663
125043951b036
13234a45c2273
1411106a93470
15817bed9e70
hex488369e76a

311442401130 has 96 divisors (see below), whose sum is σ = 878105629440. Its totient is φ = 70481980800.

The previous prime is 311442401119. The next prime is 311442401183. The reversal of 311442401130 is 31104244113.

It is a self number, because there is not a number n which added to its sum of digits gives 311442401130.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 900370 + ... + 1197309.

It is an arithmetic number, because the mean of its divisors is an integer number (9146933640).

Almost surely, 2311442401130 is an apocalyptic number.

311442401130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

311442401130 is an abundant number, since it is smaller than the sum of its proper divisors (566663228310).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

311442401130 is a wasteful number, since it uses less digits than its factorization.

311442401130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2097804 (or 2097797 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 311442401130 its reverse (31104244113), we get a palindrome (342546645243).

The spelling of 311442401130 in words is "three hundred eleven billion, four hundred forty-two million, four hundred one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 101 105 147 202 210 245 294 303 490 505 606 707 735 1010 1414 1470 1515 2121 3030 3535 4242 4949 7070 9898 10605 14847 21210 24745 29694 49490 74235 148470 2097679 4195358 6293037 10488395 12586074 14683753 20976790 29367506 31465185 44051259 62930370 73418765 88102518 102786271 146837530 205572542 211865579 220256295 308358813 423731158 440512590 513931355 616717626 635596737 1027862710 1059327895 1271193474 1483059053 1541794065 2118655790 2966118106 3083588130 3177983685 4449177159 6355967370 7415295265 8898354318 10381413371 14830590530 20762826742 22245885795 31144240113 44491771590 51907066855 62288480226 103814133710 155721200565 311442401130