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131020232994 = 23372382112959
BaseRepresentation
bin111101000000101101…
…0100001100100100010
3110112012000200110012000
41322001122201210202
54121312134423434
6140105002144430
712315542414400
oct1720132414442
9415160613160
10131020232994
11506245622a2
12214864b2116
13c4803771b1
1464acba2470
15361c6deb99
hex1e816a1922

131020232994 has 96 divisors (see below), whose sum is σ = 338806540800. Its totient is φ = 37421667360.

The previous prime is 131020232983. The next prime is 131020233007. The reversal of 131020232994 is 499232020131.

131020232994 is a `hidden beast` number, since 1 + 310 + 20 + 232 + 9 + 94 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10103887 + ... + 10116845.

It is an arithmetic number, because the mean of its divisors is an integer number (3529234800).

Almost surely, 2131020232994 is an apocalyptic number.

131020232994 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131020232994, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169403270400).

131020232994 is an abundant number, since it is smaller than the sum of its proper divisors (207786307806).

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

131020232994 is a wasteful number, since it uses less digits than its factorization.

131020232994 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16805 (or 16792 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 131020232994 in words is "one hundred thirty-one billion, twenty million, two hundred thirty-two thousand, nine hundred ninety-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 147 189 294 378 441 882 1323 2646 3821 7642 11463 12959 22926 25918 26747 34389 38877 53494 68778 77754 80241 90713 103167 116631 160482 181426 187229 206334 233262 240723 272139 349893 374458 481446 544278 561687 634991 699786 722169 816417 1123374 1269982 1444338 1632834 1685061 1904973 2449251 3370122 3809946 4898502 5055183 5714919 10110366 11429838 17144757 34289514 49516339 99032678 148549017 297098034 346614373 445647051 693228746 891294102 1039843119 1336941153 2079686238 2426300611 2673882306 3119529357 4852601222 6239058714 7278901833 9358588071 14557803666 18717176142 21836705499 43673410998 65510116497 131020232994