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431402123211 = 31782507102523
BaseRepresentation
bin1100100011100011001…
…00011111111111001011
31112020112011012111211020
412101301210133333023
524032002420420321
6530103340403523
743111355354433
oct6216144377713
91466464174736
10431402123211
11156a58285344
126b7378465a3
13318b1346437
1416c469132c3
15b34d6864c6
hex647191ffcb

431402123211 has 16 divisors (see below), whose sum is σ = 609051613824. Its totient is φ = 270677764224.

The previous prime is 431402123209. The next prime is 431402123221. The reversal of 431402123211 is 112321204134.

It is not a de Polignac number, because 431402123211 - 21 = 431402123209 is a prime.

It is a super-4 number, since 4×4314021232114 (a number of 48 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (431402123221) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4156596 + ... + 4259118.

It is an arithmetic number, because the mean of its divisors is an integer number (38065725864).

Almost surely, 2431402123211 is an apocalyptic number.

431402123211 is a deficient number, since it is larger than the sum of its proper divisors (177649490613).

431402123211 is a wasteful number, since it uses less digits than its factorization.

431402123211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185050.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 431402123211 its reverse (112321204134), we get a palindrome (543723327345).

The spelling of 431402123211 in words is "four hundred thirty-one billion, four hundred two million, one hundred twenty-three thousand, two hundred eleven".

Divisors: 1 3 17 51 82507 102523 247521 307569 1402619 1742891 4207857 5228673 8458865161 25376595483 143800707737 431402123211