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334202121202433 = 1124758765978759
BaseRepresentation
bin100101111111101000111111…
…0101101111010101100000001
31121211022102002110000222110212
41023333101332231322230001
5322301031421011434213
63142442200204203505
7130252210054101161
oct11377217655725401
91554272073028425
10334202121202433
119753a361873100
123159673a239595
1311463181261313
145c7567cc0c5a1
15289856ddbb9a8
hex12ff47eb7ab01

334202121202433 has 12 divisors (see below), whose sum is σ = 375162008403840. Its totient is φ = 297355852515480.

The previous prime is 334202121202429. The next prime is 334202121202457.

334202121202433 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 334202121202433 - 22 = 334202121202429 is a prime.

It is a super-2 number, since 2×3342021212024332 (a number of 30 digits) contains 22 as substring.

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 334202121202433.

It is not an unprimeable number, because it can be changed into a prime (334202121202403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29382983693 + ... + 29382995066.

It is an arithmetic number, because the mean of its divisors is an integer number (31263500700320).

Almost surely, 2334202121202433 is an apocalyptic number.

It is an amenable number.

334202121202433 is a deficient number, since it is larger than the sum of its proper divisors (40959887201407).

334202121202433 is a wasteful number, since it uses less digits than its factorization.

334202121202433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58765978828 (or 58765978817 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

The spelling of 334202121202433 in words is "three hundred thirty-four trillion, two hundred two billion, one hundred twenty-one million, two hundred two thousand, four hundred thirty-three".

Divisors: 1 11 47 121 517 5687 58765978759 646425766349 2762001001673 7110683429839 30382011018403 334202121202433