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10012202120322 = 2323719937543069
BaseRepresentation
bin1001000110110010010111…
…0000000011010010000010
31022110011020120200012010200
42101230211300003102002
52303014442220322242
633143313034510030
72052233462556153
oct221544560032202
938404216605120
1010012202120322
113210173096686
121158522295316
135781ba13a46c
1426884392192a
151256912db04c
hex91b25c03482

10012202120322 has 48 divisors (see below), whose sum is σ = 22290586501560. Its totient is φ = 3245570954496.

The previous prime is 10012202120273. The next prime is 10012202120353. The reversal of 10012202120322 is 22302120221001.

10012202120322 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 220 + 2 + 120 + 322 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9563809836681 + 448392283641 = 3092541^2 + 669621^2 .

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 = 10012202120295 and 10012202120304.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2444197 + ... + 5098872.

Almost surely, 210012202120322 is an apocalyptic number.

10012202120322 is an abundant number, since it is smaller than the sum of its proper divisors (12278384381238).

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

10012202120322 is a wasteful number, since it uses less digits than its factorization.

10012202120322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7545107 (or 7545104 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10012202120322 its reverse (22302120221001), we get a palindrome (32314322341323).

The spelling of 10012202120322 in words is "ten trillion, twelve billion, two hundred two million, one hundred twenty thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 1993 3986 5979 11958 17937 35874 73741 147482 221223 442446 663669 1327338 7543069 15086138 22629207 45258414 67887621 135775242 279093553 558187106 837280659 1674561318 2511841977 5023683954 15033336517 30066673034 45100009551 90200019102 135300028653 270600057306 556233451129 1112466902258 1668700353387 3337400706774 5006101060161 10012202120322