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3320331003333 = 322081177282877
BaseRepresentation
bin110000010100010011001…
…001100110010111000101
3102202102100120120021122200
4300110103021212113011
5413400014214101313
611021201120345113
7461612616600561
oct60242311462705
912672316507580
103320331003333
111070165321773
12457604175199
131b114b79aaa6
14b69c22846a1
155b581c53b73
hex305132665c5

3320331003333 has 12 divisors (see below), whose sum is σ = 4798338375948. Its totient is φ = 2212490292480.

The previous prime is 3320331003323. The next prime is 3320331003349. The reversal of 3320331003333 is 3333001330233.

3320331003333 is a `hidden beast` number, since 3 + 320 + 3 + 3 + 1 + 0 + 0 + 3 + 333 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2002431595329 + 1317899408004 = 1415073^2 + 1147998^2 .

It is not a de Polignac number, because 3320331003333 - 222 = 3320326809029 is a prime.

It is a super-3 number, since 3×33203310033333 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 3320331003297 and 3320331003306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3320331003323) 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, 88622710 + ... + 88660167.

It is an arithmetic number, because the mean of its divisors is an integer number (399861531329).

Almost surely, 23320331003333 is an apocalyptic number.

It is an amenable number.

3320331003333 is a deficient number, since it is larger than the sum of its proper divisors (1478007372615).

3320331003333 is a wasteful number, since it uses less digits than its factorization.

3320331003333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177284964 (or 177284961 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 27.

Adding to 3320331003333 its reverse (3333001330233), we get a palindrome (6653332333566).

The spelling of 3320331003333 in words is "three trillion, three hundred twenty billion, three hundred thirty-one million, three thousand, three hundred thirty-three".

Divisors: 1 3 9 2081 6243 18729 177282877 531848631 1595545893 368925667037 1106777001111 3320331003333