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20111001201220 = 22517417319762781
BaseRepresentation
bin1001001001010011101010…
…00101010010101001000100
32122012121000020210202220111
410210221311011102221010
510113444312301414340
6110434511051042404
74143654233455216
oct444516505225104
978177006722814
1020111001201220
116454033981476
122309791740404
13b2b5c804b7a7
144d75403c25b6
1524d1eeceaaea
hex124a75152a44

20111001201220 has 96 divisors (see below), whose sum is σ = 46435581200736. Its totient is φ = 7285351219200.

The previous prime is 20111001201217. The next prime is 20111001201289. The reversal of 20111001201220 is 2210210011102.

It can be written as a sum of positive squares in 16 ways, for example, as 4306114713924 + 15804886487296 = 2075118^2 + 3975536^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 20111001201220.

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, 8863771 + ... + 10899010.

It is an arithmetic number, because the mean of its divisors is an integer number (483703970841).

Almost surely, 220111001201220 is an apocalyptic number.

20111001201220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20111001201220 is an abundant number, since it is smaller than the sum of its proper divisors (26324579999516).

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

20111001201220 is a wasteful number, since it uses less digits than its factorization.

20111001201220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19762921 (or 19762919 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 20111001201220 its reverse (2210210011102), we get a palindrome (22321211212322).

The spelling of 20111001201220 in words is "twenty trillion, one hundred eleven billion, one million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 41 68 73 82 85 146 164 170 205 292 340 365 410 697 730 820 1241 1394 1460 2482 2788 2993 3485 4964 5986 6205 6970 11972 12410 13940 14965 24820 29930 50881 59860 101762 203524 254405 508810 1017620 19762781 39525562 79051124 98813905 197627810 335967277 395255620 671934554 810274021 1343869108 1442683013 1620548042 1679836385 2885366026 3241096084 3359672770 4051370105 5770732052 6719345540 7213415065 8102740210 13774658357 14426830130 16205480420 24525611221 27549316714 28853660260 49051222442 55098633428 59150003533 68873291785 98102444884 118300007066 122628056105 137746583570 236600014132 245256112210 275493167140 295750017665 490512224420 591500035330 1005550060061 1183000070660 2011100120122 4022200240244 5027750300305 10055500600610 20111001201220