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413114331 = 37171157183
BaseRepresentation
bin11000100111111…
…001111111011011
31001210100101022210
4120213321333123
51321224124311
6104554250203
713144261650
oct3047717733
91053311283
10413114331
111a2212a03
12b6426963
1367783866
143cc19c27
15264043a6
hex189f9fdb

413114331 has 16 divisors (see below), whose sum is σ = 666537984. Its totient is φ = 222178944.

The previous prime is 413114269. The next prime is 413114333. The reversal of 413114331 is 133411314.

It is not a de Polignac number, because 413114331 - 27 = 413114203 is a prime.

It is a super-2 number, since 2×4131143312 = 341326900955155122, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 413114298 and 413114307.

It is not an unprimeable number, because it can be changed into a prime (413114333) 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, 578235 + ... + 578948.

It is an arithmetic number, because the mean of its divisors is an integer number (41658624).

Almost surely, 2413114331 is an apocalyptic number.

413114331 is a deficient number, since it is larger than the sum of its proper divisors (253423653).

413114331 is a wasteful number, since it uses less digits than its factorization.

413114331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157210.

The product of its digits is 432, while the sum is 21.

The square root of 413114331 is about 20325.2141686133. The cubic root of 413114331 is about 744.7721363702.

Adding to 413114331 its reverse (133411314), we get a palindrome (546525645).

The spelling of 413114331 in words is "four hundred thirteen million, one hundred fourteen thousand, three hundred thirty-one".

Divisors: 1 3 7 17 21 51 119 357 1157183 3471549 8100281 19672111 24300843 59016333 137704777 413114331