Search a number
-
+
131023825173 = 322329412691979
BaseRepresentation
bin111101000000110100…
…0001110100100010101
3110112012021102221201200
41322001220032210111
54121314044401143
6140105211143113
712315615065253
oct1720150164425
9415167387650
10131023825173
115062659613a
1221487744a99
13c481034247
1464ad4595d3
15361cb9e1d3
hex1e81a0e915

131023825173 has 96 divisors (see below), whose sum is σ = 210161952000. Its totient is φ = 78370575360.

The previous prime is 131023825171. The next prime is 131023825189. The reversal of 131023825173 is 371528320131.

It is a happy number.

131023825173 is a `hidden beast` number, since 1 + 3 + 102 + 38 + 2 + 517 + 3 = 666.

It is not a de Polignac number, because 131023825173 - 21 = 131023825171 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131023825171) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 66206098 + ... + 66208076.

It is an arithmetic number, because the mean of its divisors is an integer number (2189187000).

Almost surely, 2131023825173 is an apocalyptic number.

It is an amenable number.

131023825173 is a deficient number, since it is larger than the sum of its proper divisors (79138126827).

131023825173 is a wasteful number, since it uses less digits than its factorization.

131023825173 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2347 (or 2344 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 131023825173 in words is "one hundred thirty-one billion, twenty-three million, eight hundred twenty-five thousand, one hundred seventy-three".

Divisors: 1 3 9 23 29 41 69 87 123 207 261 269 369 667 807 943 1189 1979 2001 2421 2829 3567 5937 6003 6187 7801 8487 10701 11029 17811 18561 23403 27347 33087 45517 55683 57391 70209 81139 82041 99261 136551 172173 179423 243417 246123 253667 319841 409653 516519 532351 538269 730251 761001 959523 1319993 1597053 1614807 1866197 2283003 2353031 2878569 3959979 4791159 5598591 7059093 7356343 11879937 12244073 15438179 16795773 21177279 21826391 22069029 36732219 46314537 54119713 65479173 66207087 110196657 138943611 162359139 196437519 355078117 487077417 502006993 632965339 1065234351 1506020979 1898896017 3195703053 4518062937 5696688051 14558202797 43674608391 131023825173