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11012022000101 = 1971193142932789
BaseRepresentation
bin1010000000111110111110…
…1010001101100111100101
31102222201221202011120010102
42200033233222031213211
52420410110113000401
635230504132433445
72214410112406313
oct240175752154745
942881852146112
1011012022000101
113566199377591
12129a253a78885
1361b576cbc495
142a0db007d0b3
151416abd2356b
hexa03efa8d9e5

11012022000101 has 16 divisors (see below), whose sum is σ = 11085287756400. Its totient is φ = 10938945550848.

The previous prime is 11012022000041. The next prime is 11012022000223. The reversal of 11012022000101 is 10100022021011.

It can be written as a sum of positive squares in 8 ways, for example, as 43108555876 + 10968913444225 = 207626^2 + 3311935^2 .

It is a cyclic number.

It is not a de Polignac number, because 11012022000101 - 242 = 6613975488997 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 (11012022000701) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 335828615 + ... + 335861403.

It is an arithmetic number, because the mean of its divisors is an integer number (692830484775).

Almost surely, 211012022000101 is an apocalyptic number.

It is an amenable number.

11012022000101 is a deficient number, since it is larger than the sum of its proper divisors (73265756299).

11012022000101 is a wasteful number, since it uses less digits than its factorization.

11012022000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35608.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 11012022000101 its reverse (10100022021011), we get a palindrome (21112044021112).

The spelling of 11012022000101 in words is "eleven trillion, twelve billion, twenty-two million, one hundred one", and thus it is an aban number.

Divisors: 1 197 1193 1429 32789 235021 281513 1704797 6459433 39117277 46855481 335845009 7706103569 9230529757 55898588833 11012022000101