Search a number
-
+
1033340433301 = 1129091939391
BaseRepresentation
bin11110000100101111110…
…00111011001110010101
310122210020021022220220001
433002113320323032111
5113412240122331201
62110413211411301
7134441065521331
oct17022770731625
93583207286801
101033340433301
1136926780aa00
12148327753b31
137659c72ba97
143802a3947c1
151bd2d77d301
hexf097e3b395

1033340433301 has 12 divisors (see below), whose sum is σ = 1135946624512. Its totient is φ = 939296061000.

The previous prime is 1033340433269. The next prime is 1033340433371.

1033340433301 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1033340433301 - 25 = 1033340433269 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1033340433301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1033340433371) 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 11 ways as a sum of consecutive naturals, for example, 630316 + ... + 1569706.

Almost surely, 21033340433301 is an apocalyptic number.

1033340433301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1033340433301 is a deficient number, since it is larger than the sum of its proper divisors (102606191211).

1033340433301 is an equidigital number, since it uses as much as digits as its factorization.

1033340433301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948504 (or 948493 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 28.

It can be divided in two parts, 1033340 and 433301, that added together give a palindrome (1466641).

The spelling of 1033340433301 in words is "one trillion, thirty-three billion, three hundred forty million, four hundred thirty-three thousand, three hundred one".

Divisors: 1 11 121 9091 100001 939391 1100011 10333301 113666311 8540003581 93940039391 1033340433301