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2002132323121 = 72354111539069
BaseRepresentation
bin11101001000101000011…
…000101100101100110001
321002101212001012002101111
4131020220120230230301
5230300331333314441
64131433352033321
7264435463644400
oct35105030545461
97071761162344
102002132323121
117021105567a7
1228403a092841
13116a5325b728
146cc91b51637
15371302cc081
hex1d22862cb31

2002132323121 has 12 divisors (see below), whose sum is σ = 2329668998580. Its totient is φ = 1715628630240.

The previous prime is 2002132323109. The next prime is 2002132323137. The reversal of 2002132323121 is 1213232312002.

It can be written as a sum of positive squares in 2 ways, for example, as 1088550008896 + 913582314225 = 1043336^2 + 955815^2 .

It is not a de Polignac number, because 2002132323121 - 29 = 2002132322609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2002132323092 and 2002132323101.

It is not an unprimeable number, because it can be changed into a prime (2002132323101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5596026 + ... + 5943043.

It is an arithmetic number, because the mean of its divisors is an integer number (194139083215).

Almost surely, 22002132323121 is an apocalyptic number.

It is an amenable number.

2002132323121 is a deficient number, since it is larger than the sum of its proper divisors (327536675459).

2002132323121 is a wasteful number, since it uses less digits than its factorization.

2002132323121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11542624 (or 11542617 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 2002132323121 its reverse (1213232312002), we get a palindrome (3215364635123).

The spelling of 2002132323121 in words is "two trillion, two billion, one hundred thirty-two million, three hundred twenty-three thousand, one hundred twenty-one".

Divisors: 1 7 49 3541 24787 173509 11539069 80773483 565414381 40859843329 286018903303 2002132323121