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310413141 = 345097529
BaseRepresentation
bin10010100000001…
…000011101010101
3210122002121210000
4102200020131111
51113431210031
650445121513
710456316403
oct2240103525
9718077700
10310413141
1114a246a95
1287b59299
134c40571c
142d324473
151c3b93e6
hex12808755

310413141 has 20 divisors (see below), whose sum is σ = 464676300. Its totient is φ = 206508096.

The previous prime is 310413139. The next prime is 310413161. The reversal of 310413141 is 141314013.

310413141 is a `hidden beast` number, since 310 + 41 + 314 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 180794916 + 129618225 = 13446^2 + 11385^2 .

It is not a de Polignac number, because 310413141 - 21 = 310413139 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (310413121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 37465 + ... + 44993.

It is an arithmetic number, because the mean of its divisors is an integer number (23233815).

Almost surely, 2310413141 is an apocalyptic number.

It is an amenable number.

310413141 is a deficient number, since it is larger than the sum of its proper divisors (154263159).

310413141 is an equidigital number, since it uses as much as digits as its factorization.

310413141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8050 (or 8041 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 310413141 is about 17618.5453712842. The cubic root of 310413141 is about 677.0904673112.

Adding to 310413141 its reverse (141314013), we get a palindrome (451727154).

The spelling of 310413141 in words is "three hundred ten million, four hundred thirteen thousand, one hundred forty-one".

Divisors: 1 3 9 27 81 509 1527 4581 7529 13743 22587 41229 67761 203283 609849 3832261 11496783 34490349 103471047 310413141