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2022002102100 = 2235243156744349
BaseRepresentation
bin11101011011001000101…
…101111000111101010100
321011022010210200102222110
4131123020231320331110
5231112030014231400
64144521150231020
7266041045200231
oct35331055707524
97138123612873
102022002102100
1170a587522842
12287a644b5470
1311889b9710b6
146dc18a1a788
15378e48c3e50
hex1d6c8b78f54

2022002102100 has 72 divisors (see below), whose sum is σ = 5986380215200. Its totient is φ = 526661009280.

The previous prime is 2022002102083. The next prime is 2022002102203. The reversal of 2022002102100 is 12012002202.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 23 ways as a sum of consecutive naturals, for example, 78359275 + ... + 78385074.

Almost surely, 22022002102100 is an apocalyptic number.

2022002102100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2022002102100 is an abundant number, since it is smaller than the sum of its proper divisors (3964378113100).

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

2022002102100 is a wasteful number, since it uses less digits than its factorization.

2022002102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156744409 (or 156744402 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2022002102100 its reverse (12012002202), we get a palindrome (2034014104302).

It can be divided in two parts, 2022002102 and 100, that added together give a palindrome (2022002202).

The spelling of 2022002102100 in words is "two trillion, twenty-two billion, two million, one hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 43 50 60 75 86 100 129 150 172 215 258 300 430 516 645 860 1075 1290 2150 2580 3225 4300 6450 12900 156744349 313488698 470233047 626977396 783721745 940466094 1567443490 1880932188 2351165235 3134886980 3918608725 4702330470 6740007007 7837217450 9404660940 11755826175 13480014014 15674434900 20220021021 23511652350 26960028028 33700035035 40440042042 47023304700 67400070070 80880084084 101100105105 134800140140 168500175175 202200210210 337000350350 404400420420 505500525525 674000700700 1011001051050 2022002102100