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131101220211 = 31317540736571
BaseRepresentation
bin111101000011000111…
…1011101110101110011
3110112101200002000202120
41322012033131311303
54121443403021321
6140121014045323
712320544661623
oct1720617356563
9415350060676
10131101220211
1150666248185
12214a9649843
13c494091a20
1464b9844883
15362488aec6
hex1e863ddd73

131101220211 has 32 divisors (see below), whose sum is σ = 199363627008. Its totient is φ = 75915809280.

The previous prime is 131101220209. The next prime is 131101220221. The reversal of 131101220211 is 112022101131.

It is not a de Polignac number, because 131101220211 - 21 = 131101220209 is a prime.

It is a super-2 number, since 2×1311012202112 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131101220221) 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 31 ways as a sum of consecutive naturals, for example, 3566556 + ... + 3603126.

It is an arithmetic number, because the mean of its divisors is an integer number (6230113344).

Almost surely, 2131101220211 is an apocalyptic number.

131101220211 is a deficient number, since it is larger than the sum of its proper divisors (68262406797).

131101220211 is a wasteful number, since it uses less digits than its factorization.

131101220211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42011.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 131101220211 its reverse (112022101131), we get a palindrome (243123321342).

It can be divided in two parts, 13110 and 1220211, that added together give a palindrome (1233321).

The spelling of 131101220211 in words is "one hundred thirty-one billion, one hundred one million, two hundred twenty thousand, two hundred eleven".

Divisors: 1 3 13 17 39 51 221 663 5407 16221 36571 70291 91919 109713 210873 275757 475423 621707 1194947 1426269 1865121 3584841 8082191 24246573 197739397 593218191 2570612161 3361569749 7711836483 10084709247 43700406737 131101220211