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131223210010321 = 11132295717017833
BaseRepresentation
bin11101110101100011001000…
…110100011010011011010001
3122012121211001010110002100011
4131311203020310122123101
5114144430113230312241
61143031035505354521
736432364321223212
oct3565431064323321
9565554033402304
10131223210010321
11388a24a6083630
1212873b2b638a41
13582b3ac5ac7c0
142459347041409
15102863bc29281
hex7758c8d1a6d1

131223210010321 has 32 divisors (see below), whose sum is σ = 155108728494720. Its totient is φ = 109444493606400.

The previous prime is 131223210010289. The next prime is 131223210010339. The reversal of 131223210010321 is 123010012322131.

It is a cyclic number.

It is not a de Polignac number, because 131223210010321 - 25 = 131223210010289 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131223210010292 and 131223210010301.

It is not an unprimeable number, because it can be changed into a prime (131223210010381) 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, 15189621 + ... + 22207453.

It is an arithmetic number, because the mean of its divisors is an integer number (4847147765460).

Almost surely, 2131223210010321 is an apocalyptic number.

131223210010321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131223210010321 is a deficient number, since it is larger than the sum of its proper divisors (23885518484399).

131223210010321 is a wasteful number, since it uses less digits than its factorization.

131223210010321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7018657.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 131223210010321 its reverse (123010012322131), we get a palindrome (254233222332452).

The spelling of 131223210010321 in words is "one hundred thirty-one trillion, two hundred twenty-three billion, two hundred ten million, ten thousand, three hundred twenty-one".

Divisors: 1 11 13 143 229 571 2519 2977 6281 7423 32747 81653 130759 1438349 1699867 7017833 18698537 77196163 91231829 1003550119 1607083757 4007182643 17677921327 20892088841 44079009073 52093374359 229812977251 573027117949 917644825247 10094093077717 11929382728211 131223210010321