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122201321300 = 22521222013213
BaseRepresentation
bin111000111001111000…
…1000010111101010100
3102200102102100022121222
41301303301002331110
54000232014240200
6132045530225512
711554156043522
oct1616361027524
9380372308558
10122201321300
1147909507423
121b824b85298
13b6a628c256
145cb3849312
1532a3383d85
hex1c73c42f54

122201321300 has 18 divisors (see below), whose sum is σ = 265176867438. Its totient is φ = 48880528480.

The previous prime is 122201321257. The next prime is 122201321327. The reversal of 122201321300 is 3123102221.

It can be written as a sum of positive squares in 3 ways, for example, as 481275844 + 121720045456 = 21938^2 + 348884^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 611006507 + ... + 611006706.

It is an arithmetic number, because the mean of its divisors is an integer number (14732048191).

Almost surely, 2122201321300 is an apocalyptic number.

122201321300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122201321300 is an abundant number, since it is smaller than the sum of its proper divisors (142975546138).

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

122201321300 is a wasteful number, since it uses less digits than its factorization.

122201321300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222013227 (or 1222013220 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 122201321300 its reverse (3123102221), we get a palindrome (125324423521).

The spelling of 122201321300 in words is "one hundred twenty-two billion, two hundred one million, three hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1222013213 2444026426 4888052852 6110066065 12220132130 24440264260 30550330325 61100660650 122201321300