Search a number
-
+
106161116116 = 221121911544271
BaseRepresentation
bin110001011011110110…
…0100001001111010100
3101011000112212110200111
41202313230201033110
53214404221203431
6120434133052404
710445525412106
oct1426754411724
9334015773614
10106161116116
1141028200900
12186a9187104
13a01b099c93
1451d140d576
152b6509a7b1
hex18b7b213d4

106161116116 has 36 divisors (see below), whose sum is σ = 214954344640. Its totient is φ = 45715309200.

The previous prime is 106161116107. The next prime is 106161116153. The reversal of 106161116116 is 611611161601.

It is a super-2 number, since 2×1061611161162 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 5762940 + ... + 5781331.

Almost surely, 2106161116116 is an apocalyptic number.

It is an amenable number.

106161116116 is an abundant number, since it is smaller than the sum of its proper divisors (108793228524).

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

106161116116 is a wasteful number, since it uses less digits than its factorization.

106161116116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11544316 (or 11544303 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 31.

Adding to 106161116116 its reverse (611611161601), we get a palindrome (717772277717).

The spelling of 106161116116 in words is "one hundred six billion, one hundred sixty-one million, one hundred sixteen thousand, one hundred sixteen".

Divisors: 1 2 4 11 19 22 38 44 76 121 209 242 418 484 836 2299 4598 9196 11544271 23088542 46177084 126986981 219341149 253973962 438682298 507947924 877364596 1396856791 2412752639 2793713582 4825505278 5587427164 9651010556 26540279029 53080558058 106161116116