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2002321101123 = 327672391984817
BaseRepresentation
bin11101001000110011101…
…000110101000101000011
321002102100012102000010100
4131020303220311011003
5230301223200213443
64131504214133443
7264443245352520
oct35106350650503
97072305360110
102002321101123
117021a8074482
12284091351283
13116a833b6ba5
146ccacc52147
1537141b6b3d3
hex1d233a35143

2002321101123 has 48 divisors (see below), whose sum is σ = 3368791895040. Its totient is φ = 1122389630208.

The previous prime is 2002321101049. The next prime is 2002321101139. The reversal of 2002321101123 is 3211011232002.

2002321101123 is a `hidden beast` number, since 200 + 232 + 110 + 1 + 123 = 666.

It is not a de Polignac number, because 2002321101123 - 28 = 2002321100867 is a prime.

It is a super-2 number, since 2×20023211011232 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2002321101096 and 2002321101105.

It is not an unprimeable number, because it can be changed into a prime (2002321101323) 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 47 ways as a sum of consecutive naturals, for example, 16411 + ... + 2001227.

It is an arithmetic number, because the mean of its divisors is an integer number (70183164480).

Almost surely, 22002321101123 is an apocalyptic number.

2002321101123 is a deficient number, since it is larger than the sum of its proper divisors (1366470793917).

2002321101123 is a wasteful number, since it uses less digits than its factorization.

2002321101123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1985136 (or 1985133 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2002321101123 its reverse (3211011232002), we get a palindrome (5213332333125).

It can be divided in two parts, 2002 and 321101123, that multiplied together give a palindrome (642844448246).

The spelling of 2002321101123 in words is "two trillion, two billion, three hundred twenty-one million, one hundred one thousand, one hundred twenty-three".

Divisors: 1 3 7 9 21 63 67 201 239 469 603 717 1407 1673 2151 4221 5019 15057 16013 48039 112091 144117 336273 1008819 1984817 5954451 13893719 17863353 41681157 125043471 132982739 398948217 474371263 930879173 1196844651 1423113789 2792637519 3320598841 4269341367 8377912557 9961796523 29885389569 31782874621 95348623863 222480122347 286045871589 667440367041 2002321101123