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20310330060 = 223251914939857
BaseRepresentation
bin10010111010100101…
…110000101011001100
31221102110110200001200
4102322211300223030
5313043421030220
613155212505500
71316210646156
oct227245605314
957373420050
1020310330060
118682719649
123b29a7b290
131bb8a815a7
14da95c7ad6
157dd11a890
hex4ba970acc

20310330060 has 144 divisors (see below), whose sum is σ = 65287404000. Its totient is φ = 5096466432.

The previous prime is 20310330059. The next prime is 20310330149. The reversal of 20310330060 is 6003301302.

It is a happy number.

20310330060 is a `hidden beast` number, since 20 + 310 + 330 + 0 + 6 + 0 = 666.

It is a super-2 number, since 2×203103300602 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 489652 + ... + 529508.

It is an arithmetic number, because the mean of its divisors is an integer number (453384750).

Almost surely, 220310330060 is an apocalyptic number.

20310330060 is a gapful number since it is divisible by the number (20) 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 20310330060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32643702000).

20310330060 is an abundant number, since it is smaller than the sum of its proper divisors (44977073940).

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

20310330060 is a wasteful number, since it uses less digits than its factorization.

20310330060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40040 (or 40035 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 20310330060 its reverse (6003301302), we get a palindrome (26313631362).

The spelling of 20310330060 in words is "twenty billion, three hundred ten million, three hundred thirty thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 149 171 180 190 228 285 298 342 380 447 570 596 684 745 855 894 1140 1341 1490 1710 1788 2235 2682 2831 2980 3420 4470 5364 5662 6705 8493 8940 11324 13410 14155 16986 25479 26820 28310 33972 39857 42465 50958 56620 79714 84930 101916 119571 127395 159428 169860 199285 239142 254790 358713 398570 478284 509580 597855 717426 757283 797140 1195710 1434852 1514566 1793565 2271849 2391420 3029132 3587130 3786415 4543698 5938693 6815547 7174260 7572830 9087396 11359245 11877386 13631094 15145660 17816079 22718490 23754772 27262188 29693465 34077735 35632158 45436980 53448237 59386930 68155470 71264316 89080395 106896474 112835167 118773860 136310940 178160790 213792948 225670334 267241185 338505501 356321580 451340668 534482370 564175835 677011002 1015516503 1068964740 1128351670 1354022004 1692527505 2031033006 2256703340 3385055010 4062066012 5077582515 6770110020 10155165030 20310330060