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353758942121 = 13412333284489
BaseRepresentation
bin1010010010111011010…
…11010001001110101001
31020211010001212020120112
411021131223101032221
521243444242121441
6430303053504105
734362322252124
oct5113553211651
91224101766515
10353758942121
11127034778192
12586891a2035
132748958b830
141319cb973bb
15930705e4eb
hex525dad13a9

353758942121 has 16 divisors (see below), whose sum is σ = 390431800080. Its totient is φ = 318444487680.

The previous prime is 353758942109. The next prime is 353758942151. The reversal of 353758942121 is 121249857353.

It can be written as a sum of positive squares in 8 ways, for example, as 14289572521 + 339469369600 = 119539^2 + 582640^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-353758942121 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 353758942121.

It is not an unprimeable number, because it can be changed into a prime (353758942151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1101245 + ... + 1385733.

It is an arithmetic number, because the mean of its divisors is an integer number (24401987505).

Almost surely, 2353758942121 is an apocalyptic number.

It is an amenable number.

353758942121 is a deficient number, since it is larger than the sum of its proper divisors (36672857959).

353758942121 is a wasteful number, since it uses less digits than its factorization.

353758942121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286876.

The product of its digits is 1814400, while the sum is 50.

The spelling of 353758942121 in words is "three hundred fifty-three billion, seven hundred fifty-eight million, nine hundred forty-two thousand, one hundred twenty-one".

Divisors: 1 13 41 533 2333 30329 95653 284489 1243489 3698357 11664049 151632637 663712837 8628266881 27212226317 353758942121