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310120020 = 22325735023
BaseRepresentation
bin10010011111000…
…000111001010100
3210121112201200200
4102133000321110
51113342320040
650434540500
710453656000
oct2237007124
9717481620
10310120020
1114a066841
1287a37730
134c332192
142d289700
151c35c630
hex127c0e54

310120020 has 144 divisors (see below), whose sum is σ = 1097241600. Its totient is φ = 70870464.

The previous prime is 310120003. The next prime is 310120037. The reversal of 310120020 is 20021013.

It is a happy number.

310120020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (310120003) and next prime (310120037).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 310119984 and 310120011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59229 + ... + 64251.

Almost surely, 2310120020 is an apocalyptic number.

310120020 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 310120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548620800).

310120020 is an abundant number, since it is smaller than the sum of its proper divisors (787121580).

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

310120020 is a wasteful number, since it uses less digits than its factorization.

310120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5059 (or 5040 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 310120020 is about 17610.2248707959. The cubic root of 310120020 is about 676.8772762308.

Adding to 310120020 its reverse (20021013), we get a palindrome (330141033).

The spelling of 310120020 in words is "three hundred ten million, one hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 343 420 441 490 588 630 686 735 882 980 1029 1260 1372 1470 1715 1764 2058 2205 2940 3087 3430 4116 4410 5023 5145 6174 6860 8820 10046 10290 12348 15069 15435 20092 20580 25115 30138 30870 35161 45207 50230 60276 61740 70322 75345 90414 100460 105483 140644 150690 175805 180828 210966 226035 246127 301380 316449 351610 421932 452070 492254 527415 632898 703220 738381 904140 984508 1054830 1230635 1265796 1476762 1582245 1722889 2109660 2215143 2461270 2953524 3164490 3445778 3691905 4430286 4922540 5168667 6328980 6891556 7383810 8614445 8860572 10337334 11075715 14767620 15506001 17228890 20674668 22151430 25843335 31012002 34457780 44302860 51686670 62024004 77530005 103373340 155060010 310120020