Search a number
-
+
311323210211310 = 235111755494333371
BaseRepresentation
bin100011011001001011001010…
…1010110101101111111101110
31111211022012121210122012012120
41012302112111112231333232
5311301204413303230220
63022043524112213410
7122401234241302443
oct10662262526557756
91454265553565176
10311323210211310
1190219482a91a50
122ab0063523a266
13104938641379cb
1456c41a38bb9ca
1525ed3701aba40
hex11b25955adfee

311323210211310 has 64 divisors (see below), whose sum is σ = 863047872601344. Its totient is φ = 71032746713600.

The previous prime is 311323210211249. The next prime is 311323210211317. The reversal of 311323210211310 is 13112012323113.

It is a super-2 number, since 2×3113232102113102 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311323210211317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27747161076 + ... + 27747172295.

It is an arithmetic number, because the mean of its divisors is an integer number (13485123009396).

Almost surely, 2311323210211310 is an apocalyptic number.

311323210211310 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

311323210211310 is an abundant number, since it is smaller than the sum of its proper divisors (551724662390034).

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

311323210211310 is a wasteful number, since it uses less digits than its factorization.

311323210211310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55494333409.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 311323210211310 its reverse (13112012323113), we get a palindrome (324435222534423).

The spelling of 311323210211310 in words is "three hundred eleven trillion, three hundred twenty-three billion, two hundred ten million, two hundred eleven thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 11 15 17 22 30 33 34 51 55 66 85 102 110 165 170 187 255 330 374 510 561 935 1122 1870 2805 5610 55494333371 110988666742 166483000113 277471666855 332966000226 554943333710 610437667081 832415000565 943403667307 1220875334162 1664830001130 1831313001243 1886807334614 2830211001921 3052188335405 3662626002486 4717018336535 5660422003842 6104376670810 9156565006215 9434036673070 10377440340377 14151055009605 18313130012430 20754880680754 28302110019210 31132321021131 51887201701885 62264642042262 103774403403770 155661605105655 311323210211310