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202201121210020 = 22573373371297369
BaseRepresentation
bin101101111110011010011110…
…000000001011111010100100
3222111221020102210111222000221
4231332122132000023322210
5203000330344012210040
61554013525052014124
760406356165021502
oct5576323600137244
9874836383458027
10202201121210020
1159478017606a89
121a817b22461344
1388a963a20b1aa
1437d082d455672
151859aadb6674a
hexb7e69e00bea4

202201121210020 has 48 divisors (see below), whose sum is σ = 431593092509040. Its totient is φ = 79558629636096.

The previous prime is 202201121209987. The next prime is 202201121210057. The reversal of 202201121210020 is 20012121102202.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 16508554077184 + 185692567132836 = 4063072^2 + 13626906^2 .

It is a junction number, because it is equal to n+sod(n) for n = 202201121209976 and 202201121210003.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185104105 + ... + 186193264.

It is an arithmetic number, because the mean of its divisors is an integer number (8991522760605).

Almost surely, 2202201121210020 is an apocalyptic number.

202201121210020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202201121210020 is an abundant number, since it is smaller than the sum of its proper divisors (229391971299020).

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

202201121210020 is a wasteful number, since it uses less digits than its factorization.

202201121210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371297824 (or 371297822 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 202201121210020 its reverse (20012121102202), we get a palindrome (222213242312222).

The spelling of 202201121210020 in words is "two hundred two trillion, two hundred one billion, one hundred twenty-one million, two hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 20 73 146 292 365 373 730 746 1460 1492 1865 3730 7460 27229 54458 108916 136145 272290 544580 371297369 742594738 1485189476 1856486845 3712973690 7425947380 27104707937 54209415874 108418831748 135523539685 138493918637 271047079370 276987837274 542094158740 553975674548 692469593185 1384939186370 2769878372740 10110056060501 20220112121002 40440224242004 50550280302505 101100560605010 202201121210020