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310421100 = 2235211109863
BaseRepresentation
bin10010100000001…
…010011001101100
3210122010000200210
4102200022121230
51113431433400
650445222420
710456351533
oct2240123154
9718100623
10310421100
1114a251a70
1287b61a10
134c409232
142d32731a
151c3bb950
hex1280a66c

310421100 has 144 divisors (see below), whose sum is σ = 989936640. Its totient is φ = 74476800.

The previous prime is 310421093. The next prime is 310421101. The reversal of 310421100 is 1124013.

It is a happy number.

It is a super-2 number, since 2×3104211002 = 192722518650420000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (310421101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 359269 + ... + 360131.

It is an arithmetic number, because the mean of its divisors is an integer number (6874560).

Almost surely, 2310421100 is an apocalyptic number.

310421100 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 310421100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494968320).

310421100 is an abundant number, since it is smaller than the sum of its proper divisors (679515540).

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

310421100 is a wasteful number, since it uses less digits than its factorization.

310421100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 310421100 is about 17618.7712397885. The cubic root of 310421100 is about 677.0962541334.

Adding to 310421100 its reverse (1124013), we get a palindrome (311545113).

The spelling of 310421100 in words is "three hundred ten million, four hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 109 110 132 150 165 218 220 275 300 327 330 436 545 550 654 660 825 863 1090 1100 1199 1308 1635 1650 1726 2180 2398 2589 2725 3270 3300 3452 3597 4315 4796 5178 5450 5995 6540 7194 8175 8630 9493 10356 10900 11990 12945 14388 16350 17260 17985 18986 21575 23980 25890 28479 29975 32700 35970 37972 43150 47465 51780 56958 59950 64725 71940 86300 89925 94067 94930 113916 119900 129450 142395 179850 188134 189860 237325 258900 282201 284790 359700 376268 470335 474650 564402 569580 711975 940670 949300 1034737 1128804 1411005 1423950 1881340 2069474 2351675 2822010 2847900 3104211 4138948 4703350 5173685 5644020 6208422 7055025 9406700 10347370 12416844 14110050 15521055 20694740 25868425 28220100 31042110 51736850 62084220 77605275 103473700 155210550 310421100