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20222022113010 = 23251717777437821
BaseRepresentation
bin1001001100100010011100…
…11100011101011011110010
32122121012120111020102222100
410212101032130131123302
510122304200130104020
6111001511350321230
74154664362603664
oct446211634353362
978535514212870
1020222022113010
116497125328733
1223271b6359216
13b38c0bbc7cc3
144dca72dd8534
1525104b855a90
hex12644e71d6f2

20222022113010 has 96 divisors (see below), whose sum is σ = 55701372937392. Its totient is φ = 5072474234880.

The previous prime is 20222022113003. The next prime is 20222022113047. The reversal of 20222022113010 is 1031122022202.

20222022113010 is a `hidden beast` number, since 202 + 220 + 2 + 211 + 30 + 1 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 9743406402249 + 10478615710761 = 3121443^2 + 3237069^2 .

It is a super-2 number, since 2×202220221130102 (a number of 27 digits) contains 22 as substring.

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

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, 1000101 + ... + 6437720.

Almost surely, 220222022113010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20222022113010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27850686468696).

20222022113010 is an abundant number, since it is smaller than the sum of its proper divisors (35479350824382).

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

20222022113010 is a wasteful number, since it uses less digits than its factorization.

20222022113010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7439628 (or 7439625 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 20222022113010 its reverse (1031122022202), we get a palindrome (21253144135212).

The spelling of 20222022113010 in words is "twenty trillion, two hundred twenty-two billion, twenty-two million, one hundred thirteen thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1530 1777 3554 5331 8885 10662 15993 17770 26655 30209 31986 53310 60418 79965 90627 151045 159930 181254 271881 302090 453135 543762 906270 1359405 2718810 7437821 14875642 22313463 37189105 44626926 66940389 74378210 111567315 126442957 133880778 223134630 252885914 334701945 379328871 632214785 669403890 758657742 1137986613 1264429570 1896644355 2275973226 3793288710 5689933065 11379866130 13217007917 26434015834 39651023751 66085039585 79302047502 118953071253 132170079170 198255118755 224689134589 237906142506 396510237510 449378269178 594765356265 674067403767 1123445672945 1189530712530 1348134807534 2022202211301 2246891345890 3370337018835 4044404422602 6740674037670 10111011056505 20222022113010