Search a number
-
+
1101222331331 = 23291651007993
BaseRepresentation
bin10000000001100101111…
…101110100001111000011
310220021110002002122002112
4100001211331310033003
5121020300404100311
62201521120205535
7142363213241513
oct20014575641703
93807402078075
101101222331331
1139503132a681
121595111698ab
137caca0bb055
143b42996b843
151d9a2e4d28b
hex10065f743c3

1101222331331 has 8 divisors (see below), whose sum is σ = 1188725755680. Its totient is φ = 1017020923072.

The previous prime is 1101222331303. The next prime is 1101222331379. The reversal of 1101222331331 is 1331332221011.

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 1101222331331 - 214 = 1101222314947 is a prime.

It is a super-2 number, since 2×11012223313312 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1101222331297 and 1101222331306.

It is not an unprimeable number, because it can be changed into a prime (1101222331631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 825503330 + ... + 825504663.

It is an arithmetic number, because the mean of its divisors is an integer number (148590719460).

Almost surely, 21101222331331 is an apocalyptic number.

1101222331331 is a deficient number, since it is larger than the sum of its proper divisors (87503424349).

1101222331331 is a wasteful number, since it uses less digits than its factorization.

1101222331331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1651008045.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 1101222331331 its reverse (1331332221011), we get a palindrome (2432554552342).

The spelling of 1101222331331 in words is "one trillion, one hundred one billion, two hundred twenty-two million, three hundred thirty-one thousand, three hundred thirty-one".

Divisors: 1 23 29 667 1651007993 37973183839 47879231797 1101222331331