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10200121220999 = 177130727527051
BaseRepresentation
bin1001010001101110011010…
…0110100001111110000111
31100010010021222121121021102
42110123212212201332013
52314104322013032444
633405512045210315
72101635340556303
oct224334646417607
940103258547242
1010200121220999
113282935570366
121188a27b6099b
1358cb3760b2a8
1427398d366d03
1512a4ddd5e84e
hex946e69a1f87

10200121220999 has 16 divisors (see below), whose sum is σ = 10987918292736. Its totient is φ = 9434070576000.

The previous prime is 10200121220941. The next prime is 10200121221071. The reversal of 10200121220999 is 99902212100201.

It is a happy number.

It is not a de Polignac number, because 10200121220999 - 216 = 10200121155463 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200121220599) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13392977 + ... + 14134074.

It is an arithmetic number, because the mean of its divisors is an integer number (686744893296).

Almost surely, 210200121220999 is an apocalyptic number.

10200121220999 is a deficient number, since it is larger than the sum of its proper divisors (787797071737).

10200121220999 is a wasteful number, since it uses less digits than its factorization.

10200121220999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27527446.

The product of its (nonzero) digits is 11664, while the sum is 38.

The spelling of 10200121220999 in words is "ten trillion, two hundred billion, one hundred twenty-one million, two hundred twenty thousand, nine hundred ninety-nine".

Divisors: 1 17 71 307 1207 5219 21797 370549 27527051 467959867 1954420621 8450804657 33225150557 143663679169 600007130647 10200121220999