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34103331333 = 323789259037
BaseRepresentation
bin11111110000101101…
…111000101000000101
310021000201102201202200
4133300231320220011
51024320423100313
623400012425113
72315053350651
oct376055705005
9107021381680
1034103331333
1113510494655
126739178199
1332a65256c6
1419173b9a61
15d48eb0b73
hex7f0b78a05

34103331333 has 6 divisors (see below), whose sum is σ = 49260367494. Its totient is φ = 22735554216.

The previous prime is 34103331331. The next prime is 34103331341. The reversal of 34103331333 is 33313330143.

34103331333 is a `hidden beast` number, since 341 + 0 + 3 + 3 + 313 + 3 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 23382385569 + 10720945764 = 152913^2 + 103542^2 .

It is not a de Polignac number, because 34103331333 - 21 = 34103331331 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34103331297 and 34103331306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34103331331) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1894629510 + ... + 1894629527.

It is an arithmetic number, because the mean of its divisors is an integer number (8210061249).

Almost surely, 234103331333 is an apocalyptic number.

It is an amenable number.

34103331333 is a deficient number, since it is larger than the sum of its proper divisors (15157036161).

34103331333 is a wasteful number, since it uses less digits than its factorization.

34103331333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3789259043 (or 3789259040 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 34103331333 its reverse (33313330143), we get a palindrome (67416661476).

The spelling of 34103331333 in words is "thirty-four billion, one hundred three million, three hundred thirty-one thousand, three hundred thirty-three".

Divisors: 1 3 9 3789259037 11367777111 34103331333