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200002220221122 = 2321131167543194483
BaseRepresentation
bin101101011110011010100101…
…010010100110001011000010
3222020011000200121100222101100
4231132122211102212023002
5202203314021334033442
61545211430200315230
760061453315013424
oct5536324522461302
9866130617328340
10200002220221122
11587aa5132a4340
121a52192aa72b16
13877a1892504a7
143756232846814
15181c7b3e5284c
hexb5e6a54a62c2

200002220221122 has 96 divisors (see below), whose sum is σ = 487987378384896. Its totient is φ = 58651025839200.

The previous prime is 200002220221093. The next prime is 200002220221151. The reversal of 200002220221122 is 221122022200002.

200002220221122 is a `hidden beast` number, since 200 + 0 + 0 + 2 + 220 + 221 + 1 + 22 = 666.

It is an interprime number because it is at equal distance from previous prime (200002220221093) and next prime (200002220221151).

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

It is a junction number, because it is equal to n+sod(n) for n = 200002220221095 and 200002220221104.

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, 1028281693 + ... + 1028476175.

It is an arithmetic number, because the mean of its divisors is an integer number (5083201858176).

Almost surely, 2200002220221122 is an apocalyptic number.

200002220221122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

200002220221122 is an abundant number, since it is smaller than the sum of its proper divisors (287985158163774).

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

200002220221122 is a wasteful number, since it uses less digits than its factorization.

200002220221122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362076 (or 362073 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 200002220221122 its reverse (221122022200002), we get a palindrome (421124242421124).

The spelling of 200002220221122 in words is "two hundred trillion, two billion, two hundred twenty million, two hundred twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 31 33 62 66 93 99 186 198 279 341 558 682 1023 2046 3069 6138 167543 194483 335086 388966 502629 583449 1005258 1166898 1507887 1750347 1842973 2139313 3015774 3500694 3685946 4278626 5193833 5528919 6028973 6417939 10387666 11057838 12057946 12835878 15581499 16586757 18086919 19253817 31162998 33173514 36173838 38507634 46744497 54260757 57132163 66318703 93488994 108521514 114264326 132637406 171396489 198956109 342792978 397912218 514189467 596868327 1028378934 1193736654 32584265269 65168530538 97752795807 195505591614 293258387421 358426917959 586516774842 716853835918 1010112223339 1075280753877 2020224446678 2150561507754 3030336670017 3225842261631 6060673340034 6451684523262 9091010010051 11111234456729 18182020020102 22222468913458 33333703370187 66667406740374 100001110110561 200002220221122