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2122231002020 = 2252926913602301
BaseRepresentation
bin11110111000011110110…
…100110011001110100100
321111212211221001002212222
4132320132310303032210
5234232312114031040
64302534531331512
7306216601610363
oct36703664631644
97455757032788
102122231002020
1174904008a828
122a3376a50b98
13125182a1617c
1474a062237da
153a30dc75bb5
hex1ee1ed333a4

2122231002020 has 48 divisors (see below), whose sum is σ = 4627503140400. Its totient is φ = 816573273600.

The previous prime is 2122231002019. The next prime is 2122231002053. The reversal of 2122231002020 is 202001322212.

It can be written as a sum of positive squares in 8 ways, for example, as 409566720676 + 1712664281344 = 639974^2 + 1308688^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2122231002020.

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 15 ways as a sum of consecutive naturals, for example, 6645131 + ... + 6957170.

It is an arithmetic number, because the mean of its divisors is an integer number (96406315425).

Almost surely, 22122231002020 is an apocalyptic number.

2122231002020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122231002020 is an abundant number, since it is smaller than the sum of its proper divisors (2505272138380).

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

2122231002020 is a wasteful number, since it uses less digits than its factorization.

2122231002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13602608 (or 13602606 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 2122231002020 its reverse (202001322212), we get a palindrome (2324232324232).

The spelling of 2122231002020 in words is "two trillion, one hundred twenty-two billion, two hundred thirty-one million, two thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 269 290 538 580 1076 1345 2690 5380 7801 15602 31204 39005 78010 156020 13602301 27204602 54409204 68011505 136023010 272046020 394466729 788933458 1577866916 1972333645 3659018969 3944667290 7318037938 7889334580 14636075876 18295094845 36590189690 73180379380 106111550101 212223100202 424446200404 530557750505 1061115501010 2122231002020