Search a number
-
+
101358018 = 2327377137
BaseRepresentation
bin1100000101010…
…01100111000010
321001201112001200
412002221213002
5201421424033
614020242030
72340346266
oct602514702
9231645050
10101358018
1152239863
1229b40316
1317cca978
14d6660a6
158d72013
hex60a99c2

101358018 has 24 divisors (see below), whose sum is σ = 222620268. Its totient is φ = 33322752.

The previous prime is 101358017. The next prime is 101358031. The reversal of 101358018 is 810853101.

It can be written as a sum of positive squares in 2 ways, for example, as 91642329 + 9715689 = 9573^2 + 3117^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101357982 and 101358000.

It is not an unprimeable number, because it can be changed into a prime (101358013) 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 11 ways as a sum of consecutive naturals, for example, 37255 + ... + 39882.

Almost surely, 2101358018 is an apocalyptic number.

101358018 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

101358018 is an abundant number, since it is smaller than the sum of its proper divisors (121262250).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101358018 is a wasteful number, since it uses less digits than its factorization.

101358018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77218 (or 77215 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The square root of 101358018 is about 10067.6719255248. The cubic root of 101358018 is about 466.2505636728.

The spelling of 101358018 in words is "one hundred one million, three hundred fifty-eight thousand, eighteen".

Divisors: 1 2 3 6 9 18 73 146 219 438 657 1314 77137 154274 231411 462822 694233 1388466 5631001 11262002 16893003 33786006 50679009 101358018