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334122410130401 = 3147241195114963
BaseRepresentation
bin100101111111000011110111…
…1100100010011101111100001
31121211000210100020120222010202
41023332013233210103233201
5322243230143443133101
63142341414411234545
7130243355541133154
oct11376075744235741
91554023306528122
10334122410130401
1197509577a68972
12315831b3148a55
13114587b9c4b7c9
145c7187a5a3c9b
152896455e7136b
hex12fe1ef913be1

334122410130401 has 16 divisors (see below), whose sum is σ = 352384962306048. Its totient is φ = 316333340619600.

The previous prime is 334122410130337. The next prime is 334122410130433. The reversal of 334122410130401 is 104031014221433.

It is a cyclic number.

It is not a de Polignac number, because 334122410130401 - 26 = 334122410130337 is a prime.

It is a super-2 number, since 2×3341224101304012 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (334122410130491) 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 15 ways as a sum of consecutive naturals, for example, 44044655 + ... + 51070308.

It is an arithmetic number, because the mean of its divisors is an integer number (22024060144128).

Almost surely, 2334122410130401 is an apocalyptic number.

334122410130401 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

334122410130401 is a deficient number, since it is larger than the sum of its proper divisors (18262552175647).

334122410130401 is a wasteful number, since it uses less digits than its factorization.

334122410130401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95117452.

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 334122410130401 its reverse (104031014221433), we get a palindrome (438153424351834).

The spelling of 334122410130401 in words is "three hundred thirty-four trillion, one hundred twenty-two billion, four hundred ten million, one hundred thirty thousand, four hundred one".

Divisors: 1 31 47 1457 2411 74741 113317 3512827 95114963 2948563853 4470403261 138582501091 229322175793 7108987449583 10778142262271 334122410130401