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343412122100 = 22523434121221
BaseRepresentation
bin1001111111101001111…
…01010010000111110100
31012211101222111022211012
410333310331102013310
521111302000401400
6421432241331352
733545033606105
oct4776475220764
91184358438735
10343412122100
11122705210163
1256680036b58
13264caa8c718
141289a9543ac
158ded9e4d35
hex4ff4f521f4

343412122100 has 18 divisors (see below), whose sum is σ = 745204305174. Its totient is φ = 137364848800.

The previous prime is 343412122093. The next prime is 343412122201. The reversal of 343412122100 is 1221214343.

It can be written as a sum of positive squares in 3 ways, for example, as 536292964 + 342875829136 = 23158^2 + 585556^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1717060511 + ... + 1717060710.

Almost surely, 2343412122100 is an apocalyptic number.

It is an amenable number.

343412122100 is an abundant number, since it is smaller than the sum of its proper divisors (401792183074).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

343412122100 is a wasteful number, since it uses less digits than its factorization.

343412122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3434121235 (or 3434121228 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 343412122100 its reverse (1221214343), we get a palindrome (344633336443).

The spelling of 343412122100 in words is "three hundred forty-three billion, four hundred twelve million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 3434121221 6868242442 13736484884 17170606105 34341212210 68682424420 85853030525 171706061050 343412122100