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200012220030 = 235741110920947
BaseRepresentation
bin1011101001000110101…
…0000100011001111110
3201010021012021112020010
42322101222010121332
511234111112020110
6231515004004050
720310326550630
oct2722152043176
9633235245203
10200012220030
11779087582a7
123291b830626
1315b26a0a36c
149975982a50
15530958a020
hex2e91a8467e

200012220030 has 128 divisors (see below), whose sum is σ = 562519157760. Its totient is φ = 44559682560.

The previous prime is 200012219999. The next prime is 200012220041. The reversal of 200012220030 is 30022210002.

200012220030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2000122200302 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 200012219988 and 200012220015.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 9538017 + ... + 9558963.

It is an arithmetic number, because the mean of its divisors is an integer number (4394680920).

Almost surely, 2200012220030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200012220030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281259578880).

200012220030 is an abundant number, since it is smaller than the sum of its proper divisors (362506937730).

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

200012220030 is a wasteful number, since it uses less digits than its factorization.

200012220030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22114.

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 200012220030 its reverse (30022210002), we get a palindrome (230034430032).

The spelling of 200012220030 in words is "two hundred billion, twelve million, two hundred twenty thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 41 42 70 82 105 123 205 210 246 287 410 574 615 861 1109 1230 1435 1722 2218 2870 3327 4305 5545 6654 7763 8610 11090 15526 16635 20947 23289 33270 38815 41894 45469 46578 62841 77630 90938 104735 116445 125682 136407 146629 209470 227345 232890 272814 293258 314205 318283 439887 454690 628410 636566 682035 733145 858827 879774 954849 1364070 1466290 1591415 1717654 1909698 2199435 2576481 3182830 4294135 4398870 4774245 5152962 6011789 8588270 9548490 12023578 12882405 18035367 23230223 25764810 30058945 36070734 46460446 60117890 69690669 90176835 116151115 139381338 162611561 180353670 232302230 325223122 348453345 487834683 696906690 813057805 952439143 975669366 1626115610 1904878286 2439173415 2857317429 4762195715 4878346830 5714634858 6667074001 9524391430 13334148002 14286587145 20001222003 28573174290 33335370005 40002444006 66670740010 100006110015 200012220030