Search a number
-
+
131000521221 = 321714921372689
BaseRepresentation
bin111101000000000111…
…1010101001000000101
3110112010122120222201100
41322000033111020011
54121242113134341
6140103015450313
712315213025563
oct1720017251005
9415118528640
10131000521221
1150614419579
122147b986999
13c47926501b
1464aa310a33
15361aae93b6
hex1e803d5205

131000521221 has 48 divisors (see below), whose sum is σ = 201867822000. Its totient is φ = 81576198144.

The previous prime is 131000521219. The next prime is 131000521229. The reversal of 131000521221 is 122125000131.

It can be written as a sum of positive squares in 8 ways, for example, as 48336221025 + 82664300196 = 219855^2 + 287514^2 .

It is not a de Polignac number, because 131000521221 - 21 = 131000521219 is a prime.

It is a super-2 number, since 2×1310005212212 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131000521194 and 131000521203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131000521229) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48715845 + ... + 48718533.

It is an arithmetic number, because the mean of its divisors is an integer number (4205579625).

Almost surely, 2131000521221 is an apocalyptic number.

It is an amenable number.

131000521221 is a deficient number, since it is larger than the sum of its proper divisors (70867300779).

131000521221 is a wasteful number, since it uses less digits than its factorization.

131000521221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4998 (or 4995 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 131000521221 its reverse (122125000131), we get a palindrome (253125521352).

The spelling of 131000521221 in words is "one hundred thirty-one billion, five hundred twenty-one thousand, two hundred twenty-one".

Divisors: 1 3 9 17 51 149 153 447 1341 2137 2533 2689 6411 7599 8067 19233 22797 24201 36329 45713 108987 137139 318413 326961 400661 411417 955239 1201983 2865717 3605949 5413021 5746393 6811237 16239063 17239179 20433711 48717189 51717537 61301133 97688681 293066043 856212557 879198129 2568637671 7705913013 14555613469 43666840407 131000521221