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311010103020 = 223537493128411
BaseRepresentation
bin1001000011010011010…
…01011000111011101100
31002201202211101012201110
410201221221120323230
520043422041244040
6354513121512020
731320056154141
oct4415151307354
91081684335643
10311010103020
1110a9981056a1
12503387a2610
1323435b82976
14110a54c23c8
158154096980
hex4869a58eec

311010103020 has 96 divisors (see below), whose sum is σ = 894577049856. Its totient is φ = 80675308800.

The previous prime is 311010103009. The next prime is 311010103021. The reversal of 311010103020 is 20301010113.

It is a super-2 number, since 2×3110101030202 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 311010102987 and 311010103005.

It is not an unprimeable number, because it can be changed into a prime (311010103021) 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, 10932615 + ... + 10961025.

It is an arithmetic number, because the mean of its divisors is an integer number (9318510936).

Almost surely, 2311010103020 is an apocalyptic number.

311010103020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311010103020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447288524928).

311010103020 is an abundant number, since it is smaller than the sum of its proper divisors (583566946836).

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

311010103020 is a wasteful number, since it uses less digits than its factorization.

311010103020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33391 (or 33389 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 311010103020 its reverse (20301010113), we get a palindrome (331311113133).

The spelling of 311010103020 in words is "three hundred eleven billion, ten million, one hundred three thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 4931 9862 14793 19724 24655 28411 29586 49310 56822 59172 73965 85233 98620 113644 142055 147930 170466 182447 284110 295860 340932 364894 426165 547341 568220 729788 852330 912235 1051207 1094682 1704660 1824470 2102414 2189364 2736705 3153621 3648940 4204828 5256035 5473410 6307242 10512070 10946820 12614484 15768105 21024140 31536210 63072420 140094641 280189282 420283923 560378564 700473205 840567846 1400946410 1681135692 2101419615 2801892820 4202839230 5183501717 8405678460 10367003434 15550505151 20734006868 25917508585 31101010302 51835017170 62202020604 77752525755 103670034340 155505051510 311010103020