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10200022122112 = 27752171059437
BaseRepresentation
bin1001010001101110000010…
…1100011111111010000000
31100010010001002010212011021
42110123200230133322000
52314104121130401422
633405454145155224
72101633025336254
oct224334054377200
940103032125137
1010200022122112
113282894634959
1211889ba92bb14
1358cb1cc219b4
1427398012c264
1512a4d52d6dc7
hex946e0b1fe80

10200022122112 has 32 divisors (see below), whose sum is σ = 20320645908420. Its totient is φ = 5099938443264.

The previous prime is 10200022122023. The next prime is 10200022122179. The reversal of 10200022122112 is 21122122000201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 6617118285376 + 3582903836736 = 2572376^2 + 1892856^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9098058 + ... + 10157494.

Almost surely, 210200022122112 is an apocalyptic number.

It is an amenable number.

10200022122112 is a deficient number, since it is larger than the sum of its proper divisors (10120623786308).

10200022122112 is an equidigital number, since it uses as much as digits as its factorization.

10200022122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1134668 (or 1134656 counting only the distinct ones).

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

Adding to 10200022122112 its reverse (21122122000201), we get a palindrome (31322144122313).

The spelling of 10200022122112 in words is "ten trillion, two hundred billion, twenty-two million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 75217 150434 300868 601736 1059437 1203472 2118874 2406944 4237748 4813888 8475496 9627776 16950992 33901984 67803968 135607936 79687672829 159375345658 318750691316 637501382632 1275002765264 2550005530528 5100011061056 10200022122112