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1223131121001 = 32135903457889
BaseRepresentation
bin10001110011001000010…
…010111100010101101001
311022221010002222210202200
4101303020102330111221
5130014433031333001
62333522040450413
7154240220662416
oct21631022742551
94287102883680
101223131121001
114317aa6a3719
12179074179a09
138b45789595a
14432b25c910d
1521c3a79b086
hex11cc84bc569

1223131121001 has 6 divisors (see below), whose sum is σ = 1766744952570. Its totient is φ = 815420747328.

The previous prime is 1223131120997. The next prime is 1223131121039. The reversal of 1223131121001 is 1001211313221.

It can be written as a sum of positive squares in only one way, i.e., 648506479401 + 574624641600 = 805299^2 + 758040^2 .

It is not a de Polignac number, because 1223131121001 - 22 = 1223131120997 is a prime.

It is a super-2 number, since 2×12231311210012 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1223131121071) 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 5 ways as a sum of consecutive naturals, for example, 67951728936 + ... + 67951728953.

It is an arithmetic number, because the mean of its divisors is an integer number (294457492095).

Almost surely, 21223131121001 is an apocalyptic number.

It is an amenable number.

1223131121001 is a deficient number, since it is larger than the sum of its proper divisors (543613831569).

1223131121001 is a wasteful number, since it uses less digits than its factorization.

1223131121001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135903457895 (or 135903457892 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1223131121001 its reverse (1001211313221), we get a palindrome (2224342434222).

The spelling of 1223131121001 in words is "one trillion, two hundred twenty-three billion, one hundred thirty-one million, one hundred twenty-one thousand, one".

Divisors: 1 3 9 135903457889 407710373667 1223131121001