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311145125720 = 235112134945091
BaseRepresentation
bin1001000011100011011…
…00011101011101011000
31002202010020110002001012
410201301230131131120
520044211123010340
6354534343513052
731323315634262
oct4416154353530
91082106402035
10311145125720
1110aa57348200
1250375a58788
1323457b39660
14110b93ccb32
158160d68565
hex4871b1d758

311145125720 has 96 divisors (see below), whose sum is σ = 828698517360. Its totient is φ = 104440300800.

The previous prime is 311145125719. The next prime is 311145125729. The reversal of 311145125720 is 27521541113.

It is a super-2 number, since 2×3111451257202 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311145125729) 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 23 ways as a sum of consecutive naturals, for example, 2409626 + ... + 2535465.

Almost surely, 2311145125720 is an apocalyptic number.

It is an amenable number.

311145125720 is an abundant number, since it is smaller than the sum of its proper divisors (517553391640).

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

311145125720 is a wasteful number, since it uses less digits than its factorization.

311145125720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4945137 (or 4945122 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 32.

Adding to 311145125720 its reverse (27521541113), we get a palindrome (338666666833).

The spelling of 311145125720 in words is "three hundred eleven billion, one hundred forty-five million, one hundred twenty-five thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 121 130 143 220 242 260 286 440 484 520 572 605 715 968 1144 1210 1430 1573 2420 2860 3146 4840 5720 6292 7865 12584 15730 31460 62920 4945091 9890182 19780364 24725455 39560728 49450910 54396001 64286183 98901820 108792002 128572366 197803640 217584004 257144732 271980005 321430915 435168008 514289464 543960010 598356011 642861830 707148013 1087920020 1196712022 1285723660 1414296026 2175840040 2393424044 2571447320 2828592052 2991780055 3535740065 4786848088 5657184104 5983560110 7071480130 7778628143 11967120220 14142960260 15557256286 23934240440 28285920520 31114512572 38893140715 62229025144 77786281430 155572562860 311145125720