Search a number
-
+
106016125122 = 2325889784729
BaseRepresentation
bin110001010111100001…
…1011011000011000010
3101010122110001011102200
41202233003123003002
53214110112000442
6120411513254030
710442115123615
oct1425703330302
9333573034380
10106016125122
1140a6337aa36
1218668704316
139cc7032cab
1451ba06a17c
152b574aa34c
hex18af0db0c2

106016125122 has 12 divisors (see below), whose sum is σ = 229701604470. Its totient is φ = 35338708368.

The previous prime is 106016125099. The next prime is 106016125183. The reversal of 106016125122 is 221521610601.

106016125122 is a `hidden beast` number, since 1 + 0 + 601 + 6 + 1 + 2 + 51 + 2 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 103335888681 + 2680236441 = 321459^2 + 51771^2 .

It is a super-4 number, since 4×1060161251224 (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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 5 ways as a sum of consecutive naturals, for example, 2944892347 + ... + 2944892382.

Almost surely, 2106016125122 is an apocalyptic number.

106016125122 is an abundant number, since it is smaller than the sum of its proper divisors (123685479348).

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

106016125122 is a wasteful number, since it uses less digits than its factorization.

106016125122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5889784737 (or 5889784734 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 106016125122 its reverse (221521610601), we get a palindrome (327537735723).

The spelling of 106016125122 in words is "one hundred six billion, sixteen million, one hundred twenty-five thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 5889784729 11779569458 17669354187 35338708374 53008062561 106016125122