Search a number
-
+
130146262675101 = 32233244319379401
BaseRepresentation
bin11101100101111000001001…
…110000010110111010011101
3122001210212020211001000200200
4131211320021300112322131
5114024304021221100401
61140444211230414113
736261520500011661
oct3545701160267235
9561725224030620
10130146262675101
11385177a1412912
121271b274061339
13578098077299a
14241d1814548a1
15100a609edc686
hex765e09c16e9d

130146262675101 has 24 divisors (see below), whose sum is σ = 196168539368256. Its totient is φ = 82989257313600.

The previous prime is 130146262675073. The next prime is 130146262675111. The reversal of 130146262675101 is 101576262641031.

It is a happy number.

130146262675101 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 4 + 6 + 2 + 626 + 7 + 5 + 10 + 1 = 666.

It is not a de Polignac number, because 130146262675101 - 238 = 129871384768157 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130146262675111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2974000 + ... + 16405401.

It is an arithmetic number, because the mean of its divisors is an integer number (8173689140344).

Almost surely, 2130146262675101 is an apocalyptic number.

It is an amenable number.

130146262675101 is a deficient number, since it is larger than the sum of its proper divisors (66022276693155).

130146262675101 is a wasteful number, since it uses less digits than its factorization.

130146262675101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19411873 (or 19411870 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 130146262675101 in words is "one hundred thirty trillion, one hundred forty-six billion, two hundred sixty-two million, six hundred seventy-five thousand, one hundred one".

Divisors: 1 3 9 23 69 207 32443 97329 291987 746189 2238567 6715701 19379401 58138203 174414609 445726223 1337178669 4011536007 628725906643 1886177719929 5658533159787 14460695852789 43382087558367 130146262675101