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131303101221 = 341998145859
BaseRepresentation
bin111101001001001000…
…1100101001100100101
3110112220201221122110000
41322102101211030211
54122402043214341
6140153025051513
712325545642165
oct1722221451445
9415821848400
10131303101221
115075a1a5396
1221545186b99
13c4c6b57246
1464d85965a5
1536374678b6
hex1e92465325

131303101221 has 20 divisors (see below), whose sum is σ = 197129812000. Its totient is φ = 87095513736.

The previous prime is 131303101219. The next prime is 131303101231. The reversal of 131303101221 is 122101303131.

131303101221 is a `hidden beast` number, since 1 + 3 + 130 + 310 + 1 + 221 = 666.

It is not a de Polignac number, because 131303101221 - 21 = 131303101219 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131303101194 and 131303101203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131303101231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4056811 + ... + 4089048.

It is an arithmetic number, because the mean of its divisors is an integer number (9856490600).

Almost surely, 2131303101221 is an apocalyptic number.

It is an amenable number.

131303101221 is a deficient number, since it is larger than the sum of its proper divisors (65826710779).

131303101221 is an equidigital number, since it uses as much as digits as its factorization.

131303101221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8146070 (or 8146061 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 131303101221 its reverse (122101303131), we get a palindrome (253404404352).

The spelling of 131303101221 in words is "one hundred thirty-one billion, three hundred three million, one hundred one thousand, two hundred twenty-one".

Divisors: 1 3 9 27 81 199 597 1791 5373 16119 8145859 24437577 73312731 219938193 659814579 1621025941 4863077823 14589233469 43767700407 131303101221