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1110000122001 = 32401330733453
BaseRepresentation
bin10000001001110001001…
…010011011100010010001
310221010002211001121012200
4100021301022123202101
5121141240012401001
62205532122513413
7143123560235121
oct20116112334221
93833084047180
101110000122001
11398826149731
1215b160965869
1380898809124
143ba1d65cc81
151dd18885086
hex1027129b891

1110000122001 has 12 divisors (see below), whose sum is σ = 1603733096628. Its totient is φ = 739815656544.

The previous prime is 1110000121963. The next prime is 1110000122039. The reversal of 1110000122001 is 1002210000111.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1110000121963) and next prime (1110000122039).

It can be written as a sum of positive squares in 2 ways, for example, as 1040810080401 + 69190041600 = 1020201^2 + 263040^2 .

It is not a de Polignac number, because 1110000122001 - 27 = 1110000121873 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1110000122051) 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, 15330610 + ... + 15402843.

It is an arithmetic number, because the mean of its divisors is an integer number (133644424719).

Almost surely, 21110000122001 is an apocalyptic number.

It is an amenable number.

1110000122001 is a deficient number, since it is larger than the sum of its proper divisors (493732974627).

1110000122001 is a wasteful number, since it uses less digits than its factorization.

1110000122001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30737472 (or 30737469 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1110000122001 its reverse (1002210000111), we get a palindrome (2112210122112).

The spelling of 1110000122001 in words is "one trillion, one hundred ten billion, one hundred twenty-two thousand, one".

Divisors: 1 3 9 4013 12039 36117 30733453 92200359 276601077 123333346889 370000040667 1110000122001