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131000232321 = 3272349185091
BaseRepresentation
bin111101000000000111…
…0001110100110000001
3110112010122001022102100
41322000032032212001
54121242024413241
6140103005341013
712315210413400
oct1720016164601
9415118038370
10131000232321
1150614241512
122147b867769
13c47919368a
1464aa277637
15361aa8d9b6
hex1e8038e981

131000232321 has 36 divisors (see below), whose sum is σ = 220181676624. Its totient is φ = 74834953200.

The previous prime is 131000232301. The next prime is 131000232401. The reversal of 131000232321 is 123232000131.

131000232321 is a `hidden beast` number, since 1 + 310 + 0 + 0 + 2 + 32 + 321 = 666.

It is not a de Polignac number, because 131000232321 - 29 = 131000231809 is a prime.

It is a super-2 number, since 2×1310002323212 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131000232294 and 131000232303.

It is not an unprimeable number, because it can be changed into a prime (131000232301) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1496986 + ... + 1582076.

It is an arithmetic number, because the mean of its divisors is an integer number (6116157684).

Almost surely, 2131000232321 is an apocalyptic number.

It is an amenable number.

131000232321 is a deficient number, since it is larger than the sum of its proper divisors (89181444303).

131000232321 is a wasteful number, since it uses less digits than its factorization.

131000232321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88602 (or 88592 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 131000232321 its reverse (123232000131), we get a palindrome (254232232452).

The spelling of 131000232321 in words is "one hundred thirty-one billion, two hundred thirty-two thousand, three hundred twenty-one".

Divisors: 1 3 7 9 21 49 63 147 441 3491 10473 24437 31419 73311 85091 171059 219933 255273 513177 595637 765819 1539531 1786911 4169459 5360733 12508377 37525131 297052681 891158043 2079368767 2673474129 6238106301 14555581369 18714318903 43666744107 131000232321