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1001121102198 = 232721135057939
BaseRepresentation
bin11101001000101110111…
…01111011100101110110
310112201001211222022120200
432210113131323211312
5112400244000232243
62043524135341330
7132220466651400
oct16442735734566
93481054868520
101001121102198
11356633843638
12142035521846
1373536627519
14366512b9b70
151b094db9ad3
hexe91777b976

1001121102198 has 36 divisors (see below), whose sum is σ = 2523233800620. Its totient is φ = 286034600376.

The previous prime is 1001121102161. The next prime is 1001121102227. The reversal of 1001121102198 is 8912011211001.

It is a super-2 number, since 2×10011211021982 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 567528088 + ... + 567529851.

It is an arithmetic number, because the mean of its divisors is an integer number (70089827795).

Almost surely, 21001121102198 is an apocalyptic number.

1001121102198 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

1001121102198 is an abundant number, since it is smaller than the sum of its proper divisors (1522112698422).

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

1001121102198 is a wasteful number, since it uses less digits than its factorization.

1001121102198 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135057961 (or 1135057951 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 27.

Adding to 1001121102198 its reverse (8912011211001), we get a palindrome (9913132313199).

The spelling of 1001121102198 in words is "one trillion, one billion, one hundred twenty-one million, one hundred two thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 1135057939 2270115878 3405173817 6810347634 7945405573 10215521451 15890811146 20431042902 23836216719 47672433438 55617839011 71508650157 111235678022 143017300314 166853517033 333707034066 500560551099 1001121102198