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1140100314101 = 72129171801297
BaseRepresentation
bin10000100101110011010…
…001100011001111110101
311000222210112212210022022
4100211303101203033311
5122134411140022401
62231431014242525
7145240514526200
oct20456321431765
94028715783268
101140100314101
113aa5719a5551
12164b61356445
1383684881298
143d277108937
151e9cb1a071b
hex109734633f5

1140100314101 has 12 divisors (see below), whose sum is σ = 1326342551148. Its totient is φ = 977152643712.

The previous prime is 1140100314049. The next prime is 1140100314149. The reversal of 1140100314101 is 1014130010411.

It can be written as a sum of positive squares in 2 ways, for example, as 507868597201 + 632231716900 = 712649^2 + 795130^2 .

It is not a de Polignac number, because 1140100314101 - 234 = 1122920444917 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1140100314101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1140100314181) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 267716 + ... + 1533581.

It is an arithmetic number, because the mean of its divisors is an integer number (110528545929).

Almost surely, 21140100314101 is an apocalyptic number.

It is an amenable number.

1140100314101 is a deficient number, since it is larger than the sum of its proper divisors (186242237047).

1140100314101 is a wasteful number, since it uses less digits than its factorization.

1140100314101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1814228 (or 1814221 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 1140100314101 its reverse (1014130010411), we get a palindrome (2154230324512).

The spelling of 1140100314101 in words is "one trillion, one hundred forty billion, one hundred million, three hundred fourteen thousand, one hundred one".

Divisors: 1 7 49 12917 90419 632933 1801297 12609079 88263553 23267353349 162871473443 1140100314101