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10012221220001 = 71113192341558253
BaseRepresentation
bin1001000110110010011011…
…1000111010010010100001
31022110011021220121112222012
42101230212320322102201
52303020012113020001
633143315000122305
72052234114115310
oct221544670722241
938404256545865
1010012221220001
113210182951540
121158528766395
135781c1096b50
14268846294277
15125692d102bb
hex91b26e3a4a1

10012221220001 has 128 divisors (see below), whose sum is σ = 15125914460160. Its totient is φ = 6366752409600.

The previous prime is 10012221219991. The next prime is 10012221220031. The reversal of 10012221220001 is 10002212221001.

It is a de Polignac number, because none of the positive numbers 2k-10012221220001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10012221220031) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17655791 + ... + 18214043.

It is an arithmetic number, because the mean of its divisors is an integer number (118171206720).

Almost surely, 210012221220001 is an apocalyptic number.

10012221220001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10012221220001 is a deficient number, since it is larger than the sum of its proper divisors (5113693240159).

10012221220001 is a wasteful number, since it uses less digits than its factorization.

10012221220001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558367.

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

Adding to 10012221220001 its reverse (10002212221001), we get a palindrome (20014433441002).

The spelling of 10012221220001 in words is "ten trillion, twelve billion, two hundred twenty-one million, two hundred twenty thousand, one".

Divisors: 1 7 11 13 19 23 41 77 91 133 143 161 209 247 253 287 299 437 451 533 779 943 1001 1463 1729 1771 2093 2717 3059 3157 3289 3731 4807 5453 5681 5863 6601 8569 10127 10373 12259 17917 19019 23023 33649 39767 41041 59983 62491 70889 72611 85813 111397 125419 134849 197087 232921 437437 558253 779779 943943 1379609 1630447 2562131 3907771 6140783 7257289 10606807 12839819 17934917 22888373 42985481 50801023 74247649 79830179 89878733 116674877 137888491 141238009 160218611 166917647 243956561 251772103 297548849 434879087 526432579 558811253 816724139 965219437 988666063 1168423529 1516773401 1707695927 1762404721 1836094117 2082841943 2683522171 3044153609 3171435293 3273037339 3685028053 4783669957 5653428131 5790758369 6843623527 10002219001 10617413807 12852658819 18784655197 22200047051 22911261373 33485689699 34885788223 39573996917 40535308583 47905364689 62187709441 70015533007 75279858797 110024409011 130028847013 244200517561 435313966087 526959011579 770170863077 910201929091 1430317317143 10012221220001