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142116013 = 1324145361
BaseRepresentation
bin10000111100010…
…00010010101101
3100220102020112001
420132020102231
5242340203023
622034012301
73343652254
oct1036102255
9326366461
10142116013
1173247956
123b717091
132359b520
1414c3579b
15c7236ad
hex87884ad

142116013 has 8 divisors (see below), whose sum is σ = 153686456. Its totient is φ = 130636800.

The previous prime is 142115977. The next prime is 142116017. The reversal of 142116013 is 310611241.

It can be written as a sum of positive squares in 4 ways, for example, as 101124 + 142014889 = 318^2 + 11917^2 .

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 142116013 - 225 = 108561581 is a prime.

It is a super-2 number, since 2×1421160132 = 40393922302032338, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142116017) 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, 19548 + ... + 25813.

It is an arithmetic number, because the mean of its divisors is an integer number (19210807).

Almost surely, 2142116013 is an apocalyptic number.

142116013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

142116013 is a deficient number, since it is larger than the sum of its proper divisors (11570443).

142116013 is a wasteful number, since it uses less digits than its factorization.

142116013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45615.

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 142116013 is about 11921.2420913259. The cubic root of 142116013 is about 521.8523838455.

Adding to 142116013 its reverse (310611241), we get a palindrome (452727254).

The spelling of 142116013 in words is "one hundred forty-two million, one hundred sixteen thousand, thirteen".

Divisors: 1 13 241 3133 45361 589693 10932001 142116013