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311311321320 = 233523112793957
BaseRepresentation
bin1001000011110111001…
…10011100100011101000
31002202112211011200112210
410201323212130203220
520100031144240240
6355003042005120
731330404366456
oct4417346344350
91082484150483
10311311321320
1111003214143a
12504016467a0
13234833b914c
14110d34d19d6
158170746780
hex487b99c8e8

311311321320 has 64 divisors (see below), whose sum is σ = 974539797120. Its totient is φ = 79406945024.

The previous prime is 311311321319. The next prime is 311311321333. The reversal of 311311321320 is 23123113113.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 56394219 + ... + 56399738.

It is an arithmetic number, because the mean of its divisors is an integer number (15227184330).

Almost surely, 2311311321320 is an apocalyptic number.

311311321320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

311311321320 is an abundant number, since it is smaller than the sum of its proper divisors (663228475800).

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

311311321320 is a wasteful number, since it uses less digits than its factorization.

311311321320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112793994 (or 112793990 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 311311321320 its reverse (23123113113), we get a palindrome (334434434433).

The spelling of 311311321320 in words is "three hundred eleven billion, three hundred eleven million, three hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 2760 112793957 225587914 338381871 451175828 563969785 676763742 902351656 1127939570 1353527484 1691909355 2255879140 2594261011 2707054968 3383818710 4511758280 5188522022 6767637420 7782783033 10377044044 12971305055 13535274840 15565566066 20754088088 25942610110 31131132132 38913915165 51885220220 62262264264 77827830330 103770440440 155655660660 311311321320