Search a number
-
+
130973657163 = 319411512111759
BaseRepresentation
bin111100111111010100…
…0110110100001001011
3110112001210001011011020
41321332220312201023
54121213224012123
6140100220003523
712314435500656
oct1717650664113
9415053034136
10130973657163
1150600240178
12214729905a3
13c47381a52b
1464a691a89d
15361858e7e3
hex1e7ea3684b

130973657163 has 64 divisors (see below), whose sum is σ = 190559846400. Its totient is φ = 79742880000.

The previous prime is 130973657161. The next prime is 130973657167. The reversal of 130973657163 is 361756379031.

It is not a de Polignac number, because 130973657163 - 21 = 130973657161 is a prime.

It is a super-2 number, since 2×1309736571632 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (130973657161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 74458278 + ... + 74460036.

It is an arithmetic number, because the mean of its divisors is an integer number (2977497600).

Almost surely, 2130973657163 is an apocalyptic number.

130973657163 is a deficient number, since it is larger than the sum of its proper divisors (59586189237).

130973657163 is a wasteful number, since it uses less digits than its factorization.

130973657163 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2184.

The product of its (nonzero) digits is 2143260, while the sum is 51.

The spelling of 130973657163 in words is "one hundred thirty billion, nine hundred seventy-three million, six hundred fifty-seven thousand, one hundred sixty-three".

Divisors: 1 3 19 41 57 123 151 211 453 633 779 1759 2337 2869 4009 5277 6191 8607 8651 12027 18573 25953 31861 33421 72119 95583 100263 117629 164369 216357 265609 352887 371149 493107 605359 796827 1113447 1306301 1370261 1816077 3918903 4110783 5046571 7051831 10889969 15139713 15217109 21155493 24819719 32669907 45651327 56043499 74459157 168130497 206909411 289125071 620728233 867375213 1064826481 2297783459 3194479443 6893350377 43657885721 130973657163