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1001233331021 = 71137934308787
BaseRepresentation
bin11101001000111100010…
…10000011001101001101
310112201100200011010120202
432210132022003031031
5112401011213043041
62043543225023245
7132223331615210
oct16443612031515
93481320133522
101001233331021
11356691127830
12142067024b25
1373553960201
1436662171777
151b09eb87a9b
hexe91e28334d

1001233331021 has 16 divisors (see below), whose sum is σ = 1251584586240. Its totient is φ = 778123266480.

The previous prime is 1001233331003. The next prime is 1001233331029. The reversal of 1001233331021 is 1201333321001.

It is not a de Polignac number, because 1001233331021 - 214 = 1001233314637 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1001233330984 and 1001233331002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001233331029) 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 15 ways as a sum of consecutive naturals, for example, 17125211 + ... + 17183576.

It is an arithmetic number, because the mean of its divisors is an integer number (78224036640).

Almost surely, 21001233331021 is an apocalyptic number.

1001233331021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1001233331021 is a deficient number, since it is larger than the sum of its proper divisors (250351255219).

1001233331021 is a wasteful number, since it uses less digits than its factorization.

1001233331021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34309184.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 1001233331021 its reverse (1201333321001), we get a palindrome (2202566652022).

The spelling of 1001233331021 in words is "one trillion, one billion, two hundred thirty-three million, three hundred thirty-one thousand, twenty-one".

Divisors: 1 7 11 77 379 2653 4169 29183 34308787 240161509 377396657 2641776599 13003030273 91021211911 143033333003 1001233331021