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1110213133101 = 321017712121157
BaseRepresentation
bin10000001001111101110…
…111000000001100101101
310221010122122212200111200
4100021331313000030231
5121142204030224401
62210005212240113
7143132054632542
oct20117567001455
93833578780450
101110213133101
11398925409066
1215b200170039
138090099a6b7
143ba3da6abc9
151dd2c40e686
hex1027ddc032d

1110213133101 has 12 divisors (see below), whose sum is σ = 1603798899612. Its totient is φ = 740069300736.

The previous prime is 1110213133033. The next prime is 1110213133151. The reversal of 1110213133101 is 1013313120111.

1110213133101 is a `hidden beast` number, since 11 + 10 + 21 + 313 + 310 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 548005595076 + 562207538025 = 740274^2 + 749805^2 .

It is not a de Polignac number, because 1110213133101 - 215 = 1110213100333 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1110213133151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5968986 + ... + 6152171.

It is an arithmetic number, because the mean of its divisors is an integer number (133649908301).

Almost surely, 21110213133101 is an apocalyptic number.

It is an amenable number.

1110213133101 is a deficient number, since it is larger than the sum of its proper divisors (493585766511).

1110213133101 is a wasteful number, since it uses less digits than its factorization.

1110213133101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12131340 (or 12131337 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 1110213133101 its reverse (1013313120111), we get a palindrome (2123526253212).

The spelling of 1110213133101 in words is "one trillion, one hundred ten billion, two hundred thirteen million, one hundred thirty-three thousand, one hundred one".

Divisors: 1 3 9 10177 30531 91593 12121157 36363471 109090413 123357014789 370071044367 1110213133101