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201012021010220 = 22572518776522599
BaseRepresentation
bin101101101101000111000010…
…000110111001111100101100
3222100201120011100201002000012
4231231013002012321330230
5202321340104334311340
61551303351515552352
760224432161054550
oct5555070206717454
9870646140632005
10201012021010220
11590597a0540132
121a66558715b6b8
138821476b67404
14378d068797860
151838bb5d26565
hexb6d1c21b9f2c

201012021010220 has 96 divisors (see below), whose sum is σ = 484903233561600. Its totient is φ = 68565550176000.

The previous prime is 201012021010217. The next prime is 201012021010231. The reversal of 201012021010220 is 22010120210102.

It is a super-2 number, since 2×2010120210102202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 201012021010195 and 201012021010204.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27556481 + ... + 34079079.

It is an arithmetic number, because the mean of its divisors is an integer number (5051075349600).

Almost surely, 2201012021010220 is an apocalyptic number.

201012021010220 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 201012021010220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242451616780800).

201012021010220 is an abundant number, since it is smaller than the sum of its proper divisors (283891212551380).

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

201012021010220 is a wasteful number, since it uses less digits than its factorization.

201012021010220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6523743 (or 6523741 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 201012021010220 its reverse (22010120210102), we get a palindrome (223022141220322).

The spelling of 201012021010220 in words is "two hundred one trillion, twelve billion, twenty-one million, ten thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 251 502 877 1004 1255 1754 1757 2510 3508 3514 4385 5020 6139 7028 8770 8785 12278 17540 17570 24556 30695 35140 61390 122780 220127 440254 880508 1100635 1540889 2201270 3081778 4402540 6163556 6522599 7704445 13045198 15408890 26090396 30817780 32612995 45658193 65225990 91316386 130451980 182632772 228290965 456581930 913163860 1637172349 3274344698 5720319323 6548689396 8185861745 11440638646 11460206443 16371723490 22881277292 22920412886 28601596615 32743446980 40042235261 45840825772 57203193230 57301032215 80084470522 114406386460 114602064430 160168941044 200211176305 229204128860 400422352610 800844705220 1435800150073 2871600300146 5743200600292 7179000750365 10050601050511 14358001500730 20101202101022 28716003001460 40202404202044 50253005252555 100506010505110 201012021010220