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2020220122122 = 2362417573277
BaseRepresentation
bin11101011001011110100…
…000001011010000001010
321011010112121120111000000
4131121132200023100022
5231044402322401442
64144024252223430
7265645636464306
oct35313640132012
97133477514000
102020220122122
11709852656914
1228764776ab76
13118676720187
146daca0b4d06
153783d229d4c
hex1d65e80b40a

2020220122122 has 56 divisors (see below), whose sum is σ = 4545304562916. Its totient is φ = 673126920576.

The previous prime is 2020220122103. The next prime is 2020220122153. The reversal of 2020220122122 is 2212210220202.

2020220122122 is a `hidden beast` number, since 20 + 202 + 201 + 221 + 22 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1352124770481 + 668095351641 = 1162809^2 + 817371^2 .

It is a super-3 number, since 3×20202201221223 (a number of 38 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2020220122095 and 2020220122104.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 3237348 + ... + 3810624.

Almost surely, 22020220122122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2020220122122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2272652281458).

2020220122122 is an abundant number, since it is smaller than the sum of its proper divisors (2525084440794).

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

2020220122122 is an equidigital number, since it uses as much as digits as its factorization.

2020220122122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575714 (or 575699 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 2020220122122 its reverse (2212210220202), we get a palindrome (4232430342324).

The spelling of 2020220122122 in words is "two trillion, twenty billion, two hundred twenty million, one hundred twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 729 1458 2417 4834 7251 14502 21753 43506 65259 130518 195777 391554 573277 587331 1146554 1174662 1719831 1761993 3439662 3523986 5159493 10318986 15478479 30956958 46435437 92870874 139306311 278612622 417918933 835837866 1385610509 2771221018 4156831527 8313663054 12470494581 24940989162 37411483743 74822967486 112234451229 224468902458 336703353687 673406707374 1010110061061 2020220122122