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100121071005 = 3451746731139
BaseRepresentation
bin101110100111110101…
…1100100110110011101
3100120102121110101110000
41131033223210312131
53120021443233010
6113554530004513
710143044030124
oct1351753446635
9316377411400
10100121071005
113950880958a
12174a2416739
13959791cca7
144bbb178abb
15290eba27c0
hex174fae4d9d

100121071005 has 80 divisors (see below), whose sum is σ = 190446759360. Its totient is φ = 50147624448.

The previous prime is 100121070997. The next prime is 100121071051. The reversal of 100121071005 is 500170121001.

It is a happy number.

It is not a de Polignac number, because 100121071005 - 23 = 100121070997 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3199726 + ... + 3230864.

It is an arithmetic number, because the mean of its divisors is an integer number (2380584492).

Almost surely, 2100121071005 is an apocalyptic number.

100121071005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100121071005 is a deficient number, since it is larger than the sum of its proper divisors (90325688355).

100121071005 is a wasteful number, since it uses less digits than its factorization.

100121071005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31640 (or 31631 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 18.

Adding to 100121071005 its reverse (500170121001), we get a palindrome (600291192006).

The spelling of 100121071005 in words is "one hundred billion, one hundred twenty-one million, seventy-one thousand, five".

Divisors: 1 3 5 9 15 17 27 45 51 81 85 135 153 255 405 459 467 765 1377 1401 2295 2335 4203 6885 7005 7939 12609 21015 23817 31139 37827 39695 63045 71451 93417 119085 155695 189135 214353 280251 357255 467085 529363 643059 840753 1071765 1401255 1588089 2522259 2646815 3215295 4203765 4764267 7940445 12611295 14292801 14541913 23821335 42878403 43625739 71464005 72709565 130877217 214392015 218128695 247212521 392631651 654386085 741637563 1177894953 1236062605 1963158255 2224912689 3708187815 5889474765 6674738067 11124563445 20024214201 33373690335 100121071005