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310030020 = 2232517711427
BaseRepresentation
bin10010011110101…
…010111011000100
3210121101011020100
4102132222323010
51113331430040
650433004100
710453132416
oct2236527304
9717334210
10310030020
1114a005163
12879b3630
134c300221
142d2649b6
151c340b30
hex127aaec4

310030020 has 144 divisors (see below), whose sum is σ = 1010475648. Its totient is φ = 76661760.

The previous prime is 310029997. The next prime is 310030031. The reversal of 310030020 is 20030013.

It is a happy number.

It is a super-2 number, since 2×3100300202 = 192237226602400800, which contains 22 as substring.

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 = 310029984 and 310030011.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 216547 + ... + 217973.

It is an arithmetic number, because the mean of its divisors is an integer number (7017192).

Almost surely, 2310030020 is an apocalyptic number.

310030020 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 310030020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505237824).

310030020 is an abundant number, since it is smaller than the sum of its proper divisors (700445628).

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

310030020 is a wasteful number, since it uses less digits than its factorization.

310030020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1530 (or 1525 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 310030020 is about 17607.6693517342. The cubic root of 310030020 is about 676.8117909939.

Adding to 310030020 its reverse (20030013), we get a palindrome (330060033).

The spelling of 310030020 in words is "three hundred ten million, thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 71 85 90 102 142 153 170 180 204 213 255 284 306 340 355 426 510 612 639 710 765 852 1020 1065 1207 1278 1420 1427 1530 2130 2414 2556 2854 3060 3195 3621 4260 4281 4828 5708 6035 6390 7135 7242 8562 10863 12070 12780 12843 14270 14484 17124 18105 21405 21726 24140 24259 25686 28540 36210 42810 43452 48518 51372 54315 64215 72420 72777 85620 97036 101317 108630 121295 128430 145554 202634 217260 218331 242590 256860 291108 303951 363885 405268 436662 485180 506585 607902 727770 873324 911853 1013170 1091655 1215804 1455540 1519755 1722389 1823706 2026340 2183310 3039510 3444778 3647412 4366620 4559265 5167167 6079020 6889556 8611945 9118530 10334334 15501501 17223890 18237060 20668668 25835835 31003002 34447780 51671670 62006004 77507505 103343340 155015010 310030020