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100122020205 = 3510721793257
BaseRepresentation
bin101110100111110111…
…1001100100101101101
3100120102200020121111120
41131033233030211231
53120022214121310
6113555002211153
710143055062354
oct1351757144555
9316380217446
10100122020205
11395092a7749
12174a27b3ab9
139597b9304c
144bbb34499b
15290ecddb70
hex174fbcc96d

100122020205 has 48 divisors (see below), whose sum is σ = 162659689920. Its totient is φ = 52587682048.

The previous prime is 100122020143. The next prime is 100122020221. The reversal of 100122020205 is 502020221001.

It is not a de Polignac number, because 100122020205 - 210 = 100122019181 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 47 ways as a sum of consecutive naturals, for example, 30738937 + ... + 30742193.

It is an arithmetic number, because the mean of its divisors is an integer number (3388743540).

Almost surely, 2100122020205 is an apocalyptic number.

100122020205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100122020205 is a deficient number, since it is larger than the sum of its proper divisors (62537669715).

100122020205 is a wasteful number, since it uses less digits than its factorization.

100122020205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3658 (or 3551 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

Adding to 100122020205 its reverse (502020221001), we get a palindrome (602142241206).

The spelling of 100122020205 in words is "one hundred billion, one hundred twenty-two million, twenty thousand, two hundred five".

Divisors: 1 3 5 15 107 179 321 535 537 895 1605 2685 3257 9771 11449 16285 19153 34347 48855 57245 57459 95765 171735 287295 348499 583003 1045497 1742495 1749009 2049371 2915015 5227485 6148113 8745045 10246855 30740565 37289393 62381321 111868179 186446965 187143963 311906605 559340895 935719815 6674801347 20024404041 33374006735 100122020205