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102012111110011 = 4330721313626281
BaseRepresentation
bin10111001100011110001011…
…101001010011111101111011
3111101012021002102100111212211
4113030132023221103331323
5101332331300421010021
61000543414502515551
730326063132321044
oct2714361351237573
9441167072314784
10102012111110011
112a5601032a9193
12b536769735bb7
1344bc9158754ab
141b295abd638cb
15bbd880b693e1
hex5cc78ba53f7b

102012111110011 has 16 divisors (see below), whose sum is σ = 104773672651648. Its totient is φ = 99268544692800.

The previous prime is 102012111109969. The next prime is 102012111110027. The reversal of 102012111110011 is 110011111210201.

It is a cyclic number.

It is not a de Polignac number, because 102012111110011 - 29 = 102012111109499 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102012111109973 and 102012111110000.

It is not an unprimeable number, because it can be changed into a prime (102012111110311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26318191 + ... + 29944471.

It is an arithmetic number, because the mean of its divisors is an integer number (6548354540728).

Almost surely, 2102012111110011 is an apocalyptic number.

102012111110011 is a deficient number, since it is larger than the sum of its proper divisors (2761561541637).

102012111110011 is a wasteful number, since it uses less digits than its factorization.

102012111110011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3628762.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 102012111110011 its reverse (110011111210201), we get a palindrome (212023222320212).

The spelling of 102012111110011 in words is "one hundred two trillion, twelve billion, one hundred eleven million, one hundred ten thousand, eleven".

Divisors: 1 43 307 2131 13201 91633 654217 3626281 28131331 155930083 1113268267 7727604811 47870535481 332287006873 2372374676977 102012111110011