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131411133230211 = 32191733443442677
BaseRepresentation
bin11101111000010010001001…
…111010100110110010000011
3122020021210002211010202222100
4131320102021322212302003
5114211020000101331321
61143253235144241443
736452066246230602
oct3570221172466203
9566253084122870
10131411133230211
113896516a91111a
12128a4436770283
13584302a893533
142464493239a39
15102d489d13326
hex778489ea6c83

131411133230211 has 24 divisors (see below), whose sum is σ = 199921696949520. Its totient is φ = 82948613201856.

The previous prime is 131411133230203. The next prime is 131411133230261. The reversal of 131411133230211 is 112032331114131.

131411133230211 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 1 + 11 + 332 + 302 + 11 = 666.

It is not a de Polignac number, because 131411133230211 - 23 = 131411133230203 is a prime.

It is a super-2 number, since 2×1314111332302112 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131411133230261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 221424996 + ... + 222017681.

It is an arithmetic number, because the mean of its divisors is an integer number (8330070706230).

Almost surely, 2131411133230211 is an apocalyptic number.

131411133230211 is a deficient number, since it is larger than the sum of its proper divisors (68510563719309).

131411133230211 is a wasteful number, since it uses less digits than its factorization.

131411133230211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443444435 (or 443444432 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 131411133230211 its reverse (112032331114131), we get a palindrome (243443464344342).

The spelling of 131411133230211 in words is "one hundred thirty-one trillion, four hundred eleven billion, one hundred thirty-three million, two hundred thirty thousand, two hundred eleven".

Divisors: 1 3 9 19 57 171 1733 5199 15597 32927 98781 296343 443442677 1330328031 3990984093 8425410863 25276232589 75828697767 768486159241 2305458477723 6916375433169 14601237025579 43803711076737 131411133230211