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101316306 = 23713971913
BaseRepresentation
bin1100000100111…
…11011011010010
321001122101211210
412002133123102
5201414110211
614015320550
72340113550
oct602373322
9231571753
10101316306
1152210493
1229b20156
1317cb49a0
14d654bd0
158d649a6
hex609f6d2

101316306 has 64 divisors (see below), whose sum is σ = 252096768. Its totient is φ = 26431488.

The previous prime is 101316287. The next prime is 101316307. The reversal of 101316306 is 603613101.

It is a super-2 number, since 2×1013163062 = 20529987722971272, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (101316307) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52006 + ... + 53918.

It is an arithmetic number, because the mean of its divisors is an integer number (3939012).

Almost surely, 2101316306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101316306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126048384).

101316306 is an abundant number, since it is smaller than the sum of its proper divisors (150780462).

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

101316306 is a wasteful number, since it uses less digits than its factorization.

101316306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2035.

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 101316306 is about 10065.6001311397. The cubic root of 101316306 is about 466.1865959922.

Adding to 101316306 its reverse (603613101), we get a palindrome (704929407).

The spelling of 101316306 in words is "one hundred one million, three hundred sixteen thousand, three hundred six".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 97 182 194 273 291 546 582 679 1261 1358 1913 2037 2522 3783 3826 4074 5739 7566 8827 11478 13391 17654 24869 26481 26782 40173 49738 52962 74607 80346 149214 174083 185561 348166 371122 522249 556683 1044498 1113366 1298927 2412293 2597854 3896781 4824586 7236879 7793562 14473758 16886051 33772102 50658153 101316306