Search a number
-
+
131322201210 = 23353907124489
BaseRepresentation
bin111101001001101101…
…0011100010001111010
3110112222001220000201000
41322103122130101322
54122421440414320
6140154550305430
712326200202244
oct1722332342172
9415861800630
10131322201210
1150769a60502
122154b658276
13c4caab3b05
1464dad29094
153638e8bc90
hex1e9369c47a

131322201210 has 64 divisors (see below), whose sum is σ = 350284982400. Its totient is φ = 35010009216.

The previous prime is 131322201187. The next prime is 131322201211. The reversal of 131322201210 is 12102223131.

131322201210 is a `hidden beast` number, since 131 + 322 + 2 + 0 + 1 + 210 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (131322201211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 992646 + ... + 1117134.

It is an arithmetic number, because the mean of its divisors is an integer number (5473202850).

Almost surely, 2131322201210 is an apocalyptic number.

131322201210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131322201210 is an abundant number, since it is smaller than the sum of its proper divisors (218962781190).

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

131322201210 is a wasteful number, since it uses less digits than its factorization.

131322201210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128412 (or 128406 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 131322201210 its reverse (12102223131), we get a palindrome (143424424341).

The spelling of 131322201210 in words is "one hundred thirty-one billion, three hundred twenty-two million, two hundred one thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 3907 7814 11721 19535 23442 35163 39070 58605 70326 105489 117210 124489 175815 210978 248978 351630 373467 527445 622445 746934 1054890 1120401 1244890 1867335 2240802 3361203 3734670 5602005 6722406 11204010 16806015 33612030 486378523 972757046 1459135569 2431892615 2918271138 4377406707 4863785230 7295677845 8754813414 13132220121 14591355690 21887033535 26264440242 43774067070 65661100605 131322201210