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110222120010101 = 11291394016918971
BaseRepresentation
bin11001000011111100010110…
…010011110100000101110101
3112110021010120001112101222212
4121003330112103310011311
5103421334400210310401
61030231202022303205
732134166612455121
oct3103742623640565
9473233501471885
10110222120010101
1132135a36296380
1210441950b87b05
134966b94270cb8
141d30ac9ac2581
15cb21e4abddbb
hex643f164f4175

110222120010101 has 64 divisors (see below), whose sum is σ = 125791689139200. Its totient is φ = 95661820800000.

The previous prime is 110222120010073. The next prime is 110222120010127. The reversal of 110222120010101 is 101010021222011.

It is a cyclic number.

It is not a de Polignac number, because 110222120010101 - 222 = 110222115815797 is a prime.

It is a super-2 number, since 2×1102221200101012 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110222120010151) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12286487546 + ... + 12286496516.

It is an arithmetic number, because the mean of its divisors is an integer number (1965495142800).

Almost surely, 2110222120010101 is an apocalyptic number.

110222120010101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110222120010101 is a deficient number, since it is larger than the sum of its proper divisors (15569569129099).

110222120010101 is a wasteful number, since it uses less digits than its factorization.

110222120010101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10242.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 110222120010101 its reverse (101010021222011), we get a palindrome (211232141232112).

The spelling of 110222120010101 in words is "one hundred ten trillion, two hundred twenty-two billion, one hundred twenty million, ten thousand, one hundred one".

Divisors: 1 11 29 139 319 401 691 1529 4031 4411 7601 8971 11629 20039 44341 55739 96049 98681 127919 220429 260159 277091 613129 1056539 1246969 1616431 2785421 2861749 3048001 3597371 6198961 8035639 13716659 17780741 30639631 36162101 38515649 39571081 68188571 88392029 104323759 179769869 397783111 423672139 500034569 861655579 1116953821 1147561349 1977468559 2485783361 5500380259 9478211369 12286492031 14501002501 24988011791 27343616971 72087717469 159511027511 274868129701 345523887179 792964892159 3800762758969 10020192728191 110222120010101