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900221122009 = 112317232065111
BaseRepresentation
bin11010001100110010101…
…11000011010111011001
310012001121221212020121101
431012121113003113121
5104222123101401014
61525320022511401
7122016214166056
oct15063127032731
93161557766541
10900221122009
1131786639a060
12126576295561
1366b7652a431
14317dc90602d
151863bb59474
hexd1995c35d9

900221122009 has 16 divisors (see below), whose sum is σ = 1025352889344. Its totient is φ = 782346272400.

The previous prime is 900221121997. The next prime is 900221122019.

900221122009 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 900221122009 - 25 = 900221121977 is a prime.

It is a super-2 number, since 2×9002211220092 (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 (900221122019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 596637 + ... + 1468474.

It is an arithmetic number, because the mean of its divisors is an integer number (64084555584).

Almost surely, 2900221122009 is an apocalyptic number.

It is an amenable number.

900221122009 is a deficient number, since it is larger than the sum of its proper divisors (125131767335).

900221122009 is a wasteful number, since it uses less digits than its factorization.

900221122009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2066868.

The product of its (nonzero) digits is 1296, while the sum is 28.

The spelling of 900221122009 in words is "nine hundred billion, two hundred twenty-one million, one hundred twenty-two thousand, nine".

Divisors: 1 11 23 253 1723 18953 39629 435919 2065111 22716221 47497553 522473083 3558186253 39140048783 81838283819 900221122009