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34210103121 = 324657816217
BaseRepresentation
bin11111110111000101…
…001011111101010001
310021022011100022010100
4133313011023331101
51030030241244441
623414345123013
72320521035655
oct376705137521
9107264308110
1034210103121
11135657908a7
126768a89469
1332c269a58c
141927650a65
15d53551cb6
hex7f714bf51

34210103121 has 12 divisors (see below), whose sum is σ = 49425264772. Its totient is φ = 22801810176.

The previous prime is 34210103107. The next prime is 34210103183. The reversal of 34210103121 is 12130101243.

34210103121 is a `hidden beast` number, since 342 + 1 + 0 + 10 + 312 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14716358721 + 19493744400 = 121311^2 + 139620^2 .

It is not a de Polignac number, because 34210103121 - 219 = 34209578833 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34210103094 and 34210103103.

It is not an unprimeable number, because it can be changed into a prime (34210103321) 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, 366196 + ... + 450021.

Almost surely, 234210103121 is an apocalyptic number.

It is an amenable number.

34210103121 is a deficient number, since it is larger than the sum of its proper divisors (15215161651).

34210103121 is a wasteful number, since it uses less digits than its factorization.

34210103121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820880 (or 820877 counting only the distinct ones).

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

Adding to 34210103121 its reverse (12130101243), we get a palindrome (46340204364).

The spelling of 34210103121 in words is "thirty-four billion, two hundred ten million, one hundred three thousand, one hundred twenty-one".

Divisors: 1 3 9 4657 13971 41913 816217 2448651 7345953 3801122569 11403367707 34210103121