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1000122111441 = 3423368837699
BaseRepresentation
bin11101000110110111110…
…11000101010111010001
310112121111020012022220000
432203123323011113101
5112341222230031231
62043241051440213
7132153646453035
oct16433373052721
93477436168800
101000122111441
1135617094a042
121419b6a56069
137340768182b
14365987521c5
151b0373376e6
hexe8dbec55d1

1000122111441 has 40 divisors (see below), whose sum is σ = 1500834535200. Its totient is φ = 663703823808.

The previous prime is 1000122111437. The next prime is 1000122111451. The reversal of 1000122111441 is 1441112210001.

1000122111441 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 1 + 221 + 1 + 1 + 441 = 666.

It is not a de Polignac number, because 1000122111441 - 22 = 1000122111437 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1000122111421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 129899010 + ... + 129906708.

It is an arithmetic number, because the mean of its divisors is an integer number (37520863380).

Almost surely, 21000122111441 is an apocalyptic number.

It is an amenable number.

1000122111441 is a deficient number, since it is larger than the sum of its proper divisors (500712423759).

1000122111441 is an equidigital number, since it uses as much as digits as its factorization.

1000122111441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14827 (or 14818 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 1000122111441 its reverse (1441112210001), we get a palindrome (2441234321442).

The spelling of 1000122111441 in words is "one trillion, one hundred twenty-two million, one hundred eleven thousand, four hundred forty-one".

Divisors: 1 3 9 27 81 233 699 2097 6291 6883 7699 18873 20649 23097 61947 69291 185841 207873 557523 623619 1603739 1793867 4811217 5381601 14433651 16144803 43300953 48434409 52992217 129902859 145303227 158976651 476929953 1430789859 4292369577 12347186561 37041559683 111124679049 333374037147 1000122111441