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414011203131 = 33134912755683
BaseRepresentation
bin1100000011001001111…
…11011001111000111011
31110120122011010020101010
412001210333121320323
523240343332000011
6514105532525003
741624404106511
oct6014477317073
91416564106333
10414011203131
1114a643592719
12682a3620763
133006c370596
1416076d544b1
15ab819e11a6
hex6064fd9e3b

414011203131 has 16 divisors (see below), whose sum is σ = 571454643200. Its totient is φ = 266338640160.

The previous prime is 414011203129. The next prime is 414011203147. The reversal of 414011203131 is 131302110414.

It is not a de Polignac number, because 414011203131 - 21 = 414011203129 is a prime.

It is a super-2 number, since 2×4140112031312 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 414011203098 and 414011203107.

It is not an unprimeable number, because it can be changed into a prime (414011207131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6345385 + ... + 6410298.

It is an arithmetic number, because the mean of its divisors is an integer number (35715915200).

Almost surely, 2414011203131 is an apocalyptic number.

414011203131 is a deficient number, since it is larger than the sum of its proper divisors (157443440069).

414011203131 is a wasteful number, since it uses less digits than its factorization.

414011203131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12756066.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 414011203131 its reverse (131302110414), we get a palindrome (545313313545).

The spelling of 414011203131 in words is "four hundred fourteen billion, eleven million, two hundred three thousand, one hundred thirty-one".

Divisors: 1 3 31 93 349 1047 10819 32457 12755683 38267049 395426173 1186278519 4451733367 13355200101 138003734377 414011203131