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1121122330001 = 1773903402361
BaseRepresentation
bin10000010100001000000…
…110010010010110010001
310222011210221110022022022
4100110020012102112101
5121332024304030001
62215011514221225
7143666312366402
oct20241006222621
93864727408268
101121122330001
113a2513367173
12161345724815
138194bb516ab
143c3968619a9
151e26a01411b
hex10508192591

1121122330001 has 8 divisors (see below), whose sum is σ = 1203331946184. Its totient is φ = 1040719518720.

The previous prime is 1121122329991. The next prime is 1121122330087. The reversal of 1121122330001 is 1000332211211.

It can be written as a sum of positive squares in 4 ways, for example, as 195916890625 + 925205439376 = 442625^2 + 961876^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1121122330001 - 26 = 1121122329937 is a prime.

It is a super-2 number, since 2×11211223300012 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1121122330901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 451699940 + ... + 451702421.

It is an arithmetic number, because the mean of its divisors is an integer number (150416493273).

Almost surely, 21121122330001 is an apocalyptic number.

It is an amenable number.

1121122330001 is a deficient number, since it is larger than the sum of its proper divisors (82209616183).

1121122330001 is an equidigital number, since it uses as much as digits as its factorization.

1121122330001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903402451.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 1121122330001 its reverse (1000332211211), we get a palindrome (2121454541212).

The spelling of 1121122330001 in words is "one trillion, one hundred twenty-one billion, one hundred twenty-two million, three hundred thirty thousand, one".

Divisors: 1 17 73 1241 903402361 15357840137 65948372353 1121122330001