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414103323001 = 10111336283477
BaseRepresentation
bin1100000011010100111…
…10110100000101111001
31110120212120110102002011
412001222132310011321
523241040422314001
6514123023205521
741626603111534
oct6015236640571
91416776412064
10414103323001
1114a690591745
126830a4468a1
1330085485394
1416085293a1b
15ab89b3ad51
hex606a7b4179

414103323001 has 8 divisors (see below), whose sum is σ = 421904282184. Its totient is φ = 406374931200.

The previous prime is 414103322987. The next prime is 414103323019. The reversal of 414103323001 is 100323301414.

It can be written as a sum of positive squares in 4 ways, for example, as 135133436025 + 278969886976 = 367605^2 + 528176^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 414103323001 - 27 = 414103322873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414103323401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18130326 + ... + 18153151.

It is an arithmetic number, because the mean of its divisors is an integer number (52738035273).

Almost surely, 2414103323001 is an apocalyptic number.

It is an amenable number.

414103323001 is a deficient number, since it is larger than the sum of its proper divisors (7800959183).

414103323001 is a wasteful number, since it uses less digits than its factorization.

414103323001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36283691.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 414103323001 its reverse (100323301414), we get a palindrome (514426624415).

The spelling of 414103323001 in words is "four hundred fourteen billion, one hundred three million, three hundred twenty-three thousand, one".

Divisors: 1 101 113 11413 36283477 3664631177 4100032901 414103323001