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10030001121 = 337598310837
BaseRepresentation
bin10010101011101010…
…11010101111100001
3221220000012211221000
421111311122233201
5131020140013441
64335133422213
7503360413530
oct112565325741
927800184830
1010030001121
114287746328
121b3b03a969
13c3ac92b0a
146b2132317
153da8372b6
hex255d5abe1

10030001121 has 64 divisors (see below), whose sum is σ = 17479526400. Its totient is φ = 5565889728.

The previous prime is 10030001101. The next prime is 10030001159. The reversal of 10030001121 is 12110003001.

It is not a de Polignac number, because 10030001121 - 25 = 10030001089 is a prime.

It is a super-2 number, since 2×100300011212 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10030001101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 920115 + ... + 930951.

It is an arithmetic number, because the mean of its divisors is an integer number (273117600).

Almost surely, 210030001121 is an apocalyptic number.

It is an amenable number.

10030001121 is a deficient number, since it is larger than the sum of its proper divisors (7449525279).

10030001121 is a wasteful number, since it uses less digits than its factorization.

10030001121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10995 (or 10989 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10030001121 its reverse (12110003001), we get a palindrome (22140004122).

The spelling of 10030001121 in words is "ten billion, thirty million, one thousand, one hundred twenty-one".

Divisors: 1 3 7 9 21 27 59 63 83 177 189 249 413 531 581 747 1239 1593 1743 2241 3717 4897 5229 10837 11151 14691 15687 32511 34279 44073 75859 97533 102837 132219 227577 292599 308511 639383 682731 899471 925533 1918149 2048193 2698413 4475681 5754447 6296297 8095239 13427043 17263341 18888891 24285717 40281129 53068789 56666673 120843387 159206367 170000019 371481523 477619101 1114444569 1432857303 3343333707 10030001121