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601355141 = 6115976173
BaseRepresentation
bin100011110101111…
…111001110000101
31112220120000011122
4203311333032011
52212421331031
6135401043325
720621301662
oct4365771605
91486500148
10601355141
112894a4022
12149486545
139778165a
1459c1aa69
1537bd947b
hex23d7f385

601355141 has 8 divisors (see below), whose sum is σ = 611695224. Its totient is φ = 591030720.

The previous prime is 601355123. The next prime is 601355179. The reversal of 601355141 is 141553106.

It can be written as a sum of positive squares in 4 ways, for example, as 98922916 + 502432225 = 9946^2 + 22415^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-601355141 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 601355141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (601355101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94331 + ... + 100503.

It is an arithmetic number, because the mean of its divisors is an integer number (76461903).

Almost surely, 2601355141 is an apocalyptic number.

601355141 is a gapful number since it is divisible by the number (61) formed by its first and last digit.

It is an amenable number.

601355141 is a deficient number, since it is larger than the sum of its proper divisors (10340083).

601355141 is a wasteful number, since it uses less digits than its factorization.

601355141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7831.

The product of its (nonzero) digits is 1800, while the sum is 26.

The square root of 601355141 is about 24522.5435263147. The cubic root of 601355141 is about 844.0671712859.

The spelling of 601355141 in words is "six hundred one million, three hundred fifty-five thousand, one hundred forty-one".

Divisors: 1 61 1597 6173 97417 376553 9858281 601355141