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1000001111121 = 32881126119449
BaseRepresentation
bin11101000110101001011…
…01100000010001010001
310112121011210111212122200
432203110231200101101
5112341000241023441
62043221050153413
7132150650124315
oct16432455402121
93477153455580
101000001111121
11356109614781
12141982422869
13733b85974cc
1436586655b45
151b02b8d57b6
hexe8d4b60451

1000001111121 has 12 divisors (see below), whose sum is σ = 1446085613700. Its totient is φ = 665910685440.

The previous prime is 1000001111089. The next prime is 1000001111143. The reversal of 1000001111121 is 1211111000001.

It can be written as a sum of positive squares in 2 ways, for example, as 84353070096 + 915648041025 = 290436^2 + 956895^2 .

It is not a de Polignac number, because 1000001111121 - 25 = 1000001111089 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 (1000001111621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63051796 + ... + 63067653.

It is an arithmetic number, because the mean of its divisors is an integer number (120507134475).

Almost surely, 21000001111121 is an apocalyptic number.

It is an amenable number.

1000001111121 is a deficient number, since it is larger than the sum of its proper divisors (446084502579).

1000001111121 is a wasteful number, since it uses less digits than its factorization.

1000001111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126120336 (or 126120333 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1000001111121 its reverse (1211111000001), we get a palindrome (2211112111122).

It can be divided in two parts, 100000 and 1111121, that added together give a palindrome (1211121).

The spelling of 1000001111121 in words is "one trillion, one million, one hundred eleven thousand, one hundred twenty-one".

Divisors: 1 3 9 881 2643 7929 126119449 378358347 1135075041 111111234569 333333703707 1000001111121