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12100110001038 = 2321684339911437
BaseRepresentation
bin1011000000010100011011…
…0000100010001110001110
31120211202111110201002002200
42300011012300202032032
53041222011130013123
641422414102502330
72356130001665523
oct260050660421616
946752443632080
1012100110001038
11394569a712354
1214350ba4349a6
1369a05cc34ca7
142db9114b514a
1515eb41b38143
hexb0146c2238e

12100110001038 has 24 divisors (see below), whose sum is σ = 26218462205208. Its totient is φ = 4033130430672.

The previous prime is 12100110001009. The next prime is 12100110001039. The reversal of 12100110001038 is 83010001100121.

It is a happy number.

It is a super-2 number, since 2×121001100010382 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 12100110001038.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12100110001039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19652545 + ... + 20258892.

It is an arithmetic number, because the mean of its divisors is an integer number (1092435925217).

Almost surely, 212100110001038 is an apocalyptic number.

12100110001038 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

12100110001038 is an abundant number, since it is smaller than the sum of its proper divisors (14118352204170).

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

12100110001038 is a wasteful number, since it uses less digits than its factorization.

12100110001038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39928288 (or 39928285 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 12100110001038 its reverse (83010001100121), we get a palindrome (95110111101159).

The spelling of 12100110001038 in words is "twelve trillion, one hundred billion, one hundred ten million, one thousand, thirty-eight".

Divisors: 1 2 3 6 9 18 16843 33686 50529 101058 151587 303174 39911437 79822874 119734311 239468622 359202933 718405866 672228333391 1344456666782 2016685000173 4033370000346 6050055000519 12100110001038