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222241101210401 = 71317240121073699
BaseRepresentation
bin110010100010000010001001…
…111001000110001100100001
31002010220001010110101220212112
4302202002021321012030201
5213112144233402213101
62104400052532205105
764545250444326320
oct6242021171061441
91063801113356775
10222241101210401
11648a3a15902049
1220b13993169795
139701327391290
143cc47533560b7
151aa60038836bb
hexca2089e46321

222241101210401 has 48 divisors (see below), whose sum is σ = 291288436521600. Its totient is φ = 165082920652800.

The previous prime is 222241101210361. The next prime is 222241101210419. The reversal of 222241101210401 is 104012101142222.

It is a de Polignac number, because none of the positive numbers 2k-222241101210401 is a prime.

It is a super-3 number, since 3×2222411012104013 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (222241101210701) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9050 + ... + 21082748.

It is an arithmetic number, because the mean of its divisors is an integer number (6068509094200).

Almost surely, 2222241101210401 is an apocalyptic number.

It is an amenable number.

222241101210401 is a deficient number, since it is larger than the sum of its proper divisors (69047335311199).

222241101210401 is a wasteful number, since it uses less digits than its factorization.

222241101210401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21074154 (or 21074137 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

Adding to 222241101210401 its reverse (104012101142222), we get a palindrome (326253202352623).

The spelling of 222241101210401 in words is "two hundred twenty-two trillion, two hundred forty-one billion, one hundred one million, two hundred ten thousand, four hundred one".

Divisors: 1 7 13 17 91 119 221 289 401 1547 2023 2807 3757 5213 6817 26299 36491 47719 88621 115889 620347 811223 1506557 10545899 21073699 147515893 273958087 358252883 1917706609 2507770181 4657287479 6090299011 8450553299 32601012353 42632093077 59153873093 79173887143 109857192887 143659406083 554217210001 769000350209 1005615842581 1867572279079 2442209903411 13073005953553 17095469323877 31748728744343 222241101210401