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20221021210212 = 22328942409148817
BaseRepresentation
bin1001001100100000100101…
…10010010100011001100100
32122121002222201212022110100
410212100102302110121210
510122300122412211322
6111001224153424100
74154630520223014
oct446202262243144
978532881768410
1020221021210212
116496761348639
122326b7710b030
13b38aac732c24
144dc9ba0d3c44
15250edda46dac
hex126412c94664

20221021210212 has 72 divisors (see below), whose sum is σ = 51690131602200. Its totient is φ = 6664404307968.

The previous prime is 20221021210189. The next prime is 20221021210297. The reversal of 20221021210212 is 21201212012202.

It is a happy number.

20221021210212 is a `hidden beast` number, since 2 + 0 + 221 + 0 + 21 + 210 + 212 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2459803277376 + 17761217932836 = 1568376^2 + 4214406^2 .

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 (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135804028 + ... + 135952844.

It is an arithmetic number, because the mean of its divisors is an integer number (717918494475).

Almost surely, 220221021210212 is an apocalyptic number.

It is an amenable number.

20221021210212 is an abundant number, since it is smaller than the sum of its proper divisors (31469110391988).

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

20221021210212 is a wasteful number, since it uses less digits than its factorization.

20221021210212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191325 (or 191320 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 20221021210212 its reverse (21201212012202), we get a palindrome (41422233222414).

The spelling of 20221021210212 in words is "twenty trillion, two hundred twenty-one billion, twenty-one million, two hundred ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 89 178 267 356 534 801 1068 1602 3204 42409 84818 127227 148817 169636 254454 297634 381681 446451 508908 595268 763362 892902 1339353 1526724 1785804 2678706 3774401 5357412 7548802 11323203 13244713 15097604 22646406 26489426 33969609 39734139 45292812 52978852 67939218 79468278 119202417 135878436 158936556 238404834 476809668 6311180153 12622360306 18933540459 25244720612 37867080918 56800621377 75734161836 113601242754 227202485508 561695033617 1123390067234 1685085100851 2246780134468 3370170201702 5055255302553 6740340403404 10110510605106 20221021210212