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20020101222 = 23112192950047
BaseRepresentation
bin10010101001010010…
…101000000001100110
31220200020100111221110
4102221102220001212
5312000121214342
613110324125450
71306055024022
oct225122500146
956606314843
1020020101222
118543909400
123a68836886
131b708c5154
14d7cc39382
157c28dbc9c
hex4a94a8066

20020101222 has 96 divisors (see below), whose sum is σ = 47925964800. Its totient is φ = 5549100480.

The previous prime is 20020101217. The next prime is 20020101223. The reversal of 20020101222 is 22210102002.

It is a junction number, because it is equal to n+sod(n) for n = 20020101198 and 20020101207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20020101223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 375003 + ... + 425049.

It is an arithmetic number, because the mean of its divisors is an integer number (499228800).

Almost surely, 220020101222 is an apocalyptic number.

20020101222 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 20020101222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23962982400).

20020101222 is an abundant number, since it is smaller than the sum of its proper divisors (27905863578).

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

20020101222 is a wasteful number, since it uses less digits than its factorization.

20020101222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50122 (or 50111 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 20020101222 its reverse (22210102002), we get a palindrome (42230203224).

The spelling of 20020101222 in words is "twenty billion, twenty million, one hundred one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 11 19 22 29 33 38 57 58 66 87 114 121 174 209 242 319 363 418 551 627 638 726 957 1102 1254 1653 1914 2299 3306 3509 4598 6061 6897 7018 10527 12122 13794 18183 21054 36366 50047 66671 100094 133342 150141 200013 300282 400026 550517 950893 1101034 1451363 1651551 1901786 2852679 2902726 3303102 4354089 5705358 6055687 8708178 10459823 12111374 15964993 18167061 20919646 27575897 31379469 31929986 36334122 47894979 55151794 62758938 82727691 95789958 115058053 165455382 175614923 230116106 303334867 345174159 351229846 526844769 606669734 690348318 910004601 1053689538 1820009202 3336683537 6673367074 10010050611 20020101222