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20213311122 = 2322323757373
BaseRepresentation
bin10010110100110011…
…101010011010010010
31221011200220121002200
4102310303222122102
5312344101423442
613141425224030
71313622211134
oct226463523222
957150817080
1020213311122
118632983904
123b01492016
131ba1942934
14d9a771054
157d485434c
hex4b4cea692

20213311122 has 72 divisors (see below), whose sum is σ = 47020632204. Its totient is φ = 6270530112.

The previous prime is 20213311091. The next prime is 20213311163. The reversal of 20213311122 is 22111331202.

20213311122 is a `hidden beast` number, since 20 + 213 + 311 + 122 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15442784361 + 4770526761 = 124269^2 + 69069^2 .

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 = 20213311095 and 20213311104.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 323628 + ... + 381000.

Almost surely, 220213311122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20213311122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23510316102).

20213311122 is an abundant number, since it is smaller than the sum of its proper divisors (26807321082).

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

20213311122 is a wasteful number, since it uses less digits than its factorization.

20213311122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57464 (or 57438 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 20213311122 its reverse (22111331202), we get a palindrome (42324642324).

The spelling of 20213311122 in words is "twenty billion, two hundred thirteen million, three hundred eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 23 37 46 69 74 111 138 207 222 333 414 529 666 851 1058 1587 1702 2553 3174 4761 5106 7659 9522 15318 19573 39146 57373 58719 114746 117438 172119 176157 344238 352314 516357 1032714 1319579 2122801 2639158 3958737 4245602 6368403 7917474 11876211 12736806 19105209 23752422 30350317 38210418 48824423 60700634 91050951 97648846 146473269 182101902 273152853 292946538 439419807 546305706 878839614 1122961729 2245923458 3368885187 6737770374 10106655561 20213311122