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2203214123022 = 23112171093916319
BaseRepresentation
bin100000000011111001110…
…010111001000000001110
321210121212210001220100220
4200003321302321000032
5242044140303414042
64404050444532210
7315114462023103
oct40037162710016
97717783056326
102203214123022
1177a417a31200
122b6bb7b51066
1312c9ba728493
14788c9794aaa
153c49d6de8ec
hex200f9cb900e

2203214123022 has 96 divisors (see below), whose sum is σ = 5129120102400. Its totient is φ = 628271719680.

The previous prime is 2203214123003. The next prime is 2203214123023.

2203214123022 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 2203214122983 and 2203214123001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2203214123023) 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 47 ways as a sum of consecutive naturals, for example, 135000979 + ... + 135017297.

It is an arithmetic number, because the mean of its divisors is an integer number (53428334400).

Almost surely, 22203214123022 is an apocalyptic number.

2203214123022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2203214123022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2564560051200).

2203214123022 is an abundant number, since it is smaller than the sum of its proper divisors (2925905979378).

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

2203214123022 is a wasteful number, since it uses less digits than its factorization.

2203214123022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27302 (or 27291 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The spelling of 2203214123022 in words is "two trillion, two hundred three billion, two hundred fourteen million, one hundred twenty-three thousand, twenty-two".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 121 187 242 363 374 561 726 1122 2057 4114 6171 10939 12342 16319 21878 32638 32817 48957 65634 97914 120329 179509 185963 240658 277423 359018 360987 371926 538527 554846 557889 721974 832269 1077054 1115778 1323619 1664538 1974599 2045593 2647238 3051653 3949198 3970857 4091186 5923797 6103306 6136779 7941714 9154959 11847594 12273558 18309918 22501523 33568183 45003046 67136366 67504569 100704549 135009138 178513541 201409098 357027082 535540623 1071081246 1963648951 3034730197 3927297902 5890946853 6069460394 9104190591 11781893706 18208381182 21600138461 33382032167 43200276922 64800415383 66764064334 100146096501 129600830766 200292193002 367202353837 734404707674 1101607061511 2203214123022