Search a number
-
+
106106010060061 = 1117567411818503
BaseRepresentation
bin11000001000000010111011…
…000010011100010100011101
3111220200122011021111002220201
4120020002323002130110131
5102401420102033410221
61013400232245143501
731230622562250064
oct3010027302342435
9456618137432821
10106106010060061
1130899340556810
12ba980800bab91
1347289a519421b
141c2b7b5d2d1db
15c400da415891
hex6080bb09c51d

106106010060061 has 8 divisors (see below), whose sum is σ = 122560952796864. Its totient is φ = 90785890960320.

The previous prime is 106106010060041. The next prime is 106106010060091. The reversal of 106106010060061 is 160060010601601.

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 106106010060061 - 227 = 106105875842333 is a prime.

It is a super-2 number, since 2×1061060100600612 (a number of 29 digits) 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 (106106010060041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 283705909065 + ... + 283705909438.

It is an arithmetic number, because the mean of its divisors is an integer number (15320119099608).

Almost surely, 2106106010060061 is an apocalyptic number.

106106010060061 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106106010060061 is a deficient number, since it is larger than the sum of its proper divisors (16454942736803).

106106010060061 is a wasteful number, since it uses less digits than its factorization.

106106010060061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567411818531.

The product of its (nonzero) digits is 1296, while the sum is 28.

Adding to 106106010060061 its reverse (160060010601601), we get a palindrome (266166020661662).

The spelling of 106106010060061 in words is "one hundred six trillion, one hundred six billion, ten million, sixty thousand, sixty-one".

Divisors: 1 11 17 187 567411818503 6241530003533 9646000914551 106106010060061