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4314201132301 = 419713175710939
BaseRepresentation
bin111110110001111010011…
…011010000110100001101
3120021102201002112222220021
4332301322123100310031
51031140440442213201
613101525554422141
7623455632365524
oct76617233206415
916242632488807
104314201132301
111413708082845
12598155291951
13253a9aac89b8
1410cb465534bb
157735027bea1
hex3ec7a6d0d0d

4314201132301 has 32 divisors (see below), whose sum is σ = 4505425626240. Its totient is φ = 4127948697600.

The previous prime is 4314201132223. The next prime is 4314201132389. The reversal of 4314201132301 is 1032311024134.

It is a cyclic number.

It is not a de Polignac number, because 4314201132301 - 27 = 4314201132173 is a prime.

It is a super-2 number, since 2×43142011323012 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4314201112301) 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 31 ways as a sum of consecutive naturals, for example, 394381690 + ... + 394392628.

It is an arithmetic number, because the mean of its divisors is an integer number (140794550820).

Almost surely, 24314201132301 is an apocalyptic number.

4314201132301 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

4314201132301 is a deficient number, since it is larger than the sum of its proper divisors (191224493939).

4314201132301 is a wasteful number, since it uses less digits than its factorization.

4314201132301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11965.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 4314201132301 its reverse (1032311024134), we get a palindrome (5346512156435).

The spelling of 4314201132301 in words is "four trillion, three hundred fourteen billion, two hundred one million, one hundred thirty-two thousand, three hundred one".

Divisors: 1 41 97 131 757 3977 5371 10939 12707 31037 73429 99167 448499 520987 1061083 1433009 3010589 4065847 8280823 9619199 43504403 58753369 139001873 339513743 394387159 803239831 1084787813 5699076793 32932833071 44476300333 105224417861 4314201132301