Search a number
-
+
1012322333011 = 111237377919687
BaseRepresentation
bin11101011101100110001…
…11001111000101010011
310120202222111001210121011
432232303013033011103
5113041214004124021
62053015432511351
7133065201566113
oct16566307170523
93522874053534
101012322333011
11360361625090
1214424084b557
137460014a452
1436dd4bad043
151b4ed457de1
hexebb31cf153

1012322333011 has 16 divisors (see below), whose sum is σ = 1105593027840. Its totient is φ = 919259030880.

The previous prime is 1012322333003. The next prime is 1012322333041. The reversal of 1012322333011 is 1103332232101.

It is a cyclic number.

It is not a de Polignac number, because 1012322333011 - 23 = 1012322333003 is a prime.

It is a super-2 number, since 2×10123223330112 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1012322333041) 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 15 ways as a sum of consecutive naturals, for example, 51411010 + ... + 51430696.

It is an arithmetic number, because the mean of its divisors is an integer number (69099564240).

Almost surely, 21012322333011 is an apocalyptic number.

1012322333011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1012322333011 is a deficient number, since it is larger than the sum of its proper divisors (93270694829).

1012322333011 is a wasteful number, since it uses less digits than its factorization.

1012322333011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24714.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 1012322333011 its reverse (1103332232101), we get a palindrome (2115654565112).

The spelling of 1012322333011 in words is "one trillion, twelve billion, three hundred twenty-two million, three hundred thirty-three thousand, eleven".

Divisors: 1 11 1237 3779 13607 19687 41569 216557 4674623 24352819 51420853 74397173 267881009 818368903 92029303001 1012322333011