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2201220202122 = 232265757418017
BaseRepresentation
bin100000000010000010111…
…100101011111010001010
321210102201211011020002200
4200002002330223322022
5242031044332431442
64403120540141030
7315014201000454
oct40020274537212
97712654136080
102201220202122
11779594466997
122b6740237776
1312c7605cc126
147877aa3d2d4
153c3d362d34c
hex20082f2be8a

2201220202122 has 48 divisors (see below), whose sum is σ = 4772531721672. Its totient is φ = 733244682240.

The previous prime is 2201220202099. The next prime is 2201220202147. The reversal of 2201220202122 is 2212020221022.

2201220202122 is a `hidden beast` number, since 220 + 1 + 220 + 202 + 1 + 22 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2037153889521 + 164066312601 = 1427289^2 + 405051^2 .

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 = 2201220202095 and 2201220202104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 274565058 + ... + 274573074.

Almost surely, 22201220202122 is an apocalyptic number.

2201220202122 is an abundant number, since it is smaller than the sum of its proper divisors (2571311519550).

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

2201220202122 is a wasteful number, since it uses less digits than its factorization.

2201220202122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16423 (or 16420 counting only the distinct ones).

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

Adding to 2201220202122 its reverse (2212020221022), we get a palindrome (4413240423144).

The spelling of 2201220202122 in words is "two trillion, two hundred one billion, two hundred twenty million, two hundred two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 2657 5314 5741 7971 8017 11482 15942 16034 17223 23913 24051 34446 47826 48102 51669 72153 103338 144306 15253837 21301169 30507674 42602338 45761511 46025597 63903507 91523022 92051194 127807014 137284533 138076791 191710521 274569066 276153582 383421042 414230373 828460746 122290011229 244580022458 366870033687 733740067374 1100610101061 2201220202122