Search a number
-
+
106020016362 = 232131313458603
BaseRepresentation
bin110001010111101001…
…0010001000011101010
3101010122201100212012200
41202233102101003222
53214112111010422
6120412132521030
710442163161421
oct1425722210352
9333581325180
10106020016362
1140a65598537
1218669a80176
139cc7a961c0
1451ba7a02b8
152b579c82ac
hex18af4910ea

106020016362 has 48 divisors (see below), whose sum is σ = 249268507488. Its totient is φ = 32372514720.

The previous prime is 106020016313. The next prime is 106020016387. The reversal of 106020016362 is 263610020601.

106020016362 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 20 + 0 + 1 + 636 + 2 = 666.

It is a super-2 number, since 2×1060200163622 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1698648 + ... + 1759955.

It is an arithmetic number, because the mean of its divisors is an integer number (5193093906).

Almost surely, 2106020016362 is an apocalyptic number.

106020016362 is an abundant number, since it is smaller than the sum of its proper divisors (143248491126).

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

106020016362 is a wasteful number, since it uses less digits than its factorization.

106020016362 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3458755 (or 3458752 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 106020016362 its reverse (263610020601), we get a palindrome (369630036963).

The spelling of 106020016362 in words is "one hundred six billion, twenty million, sixteen thousand, three hundred sixty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 131 234 262 393 786 1179 1703 2358 3406 5109 10218 15327 30654 3458603 6917206 10375809 20751618 31127427 44961839 62254854 89923678 134885517 269771034 404656551 453076993 809313102 906153986 1359230979 2718461958 4077692937 5890000909 8155385874 11780001818 17670002727 35340005454 53010008181 106020016362