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131211232011 = 3283197891629
BaseRepresentation
bin111101000110011001…
…1001000001100001011
3110112200100002012120200
41322030303020030023
54122210033411021
6140135544023243
712323352033006
oct1721463101413
9415610065520
10131211232011
1150712357722
122151a461b23
13c4b0acc572
1464ca2c053d
15362e36c126
hex1e8ccc830b

131211232011 has 24 divisors (see below), whose sum is σ = 192784672080. Its totient is φ = 85981471296.

The previous prime is 131211231973. The next prime is 131211232013. The reversal of 131211232011 is 110232112131.

131211232011 is a `hidden beast` number, since 131 + 211 + 2 + 320 + 1 + 1 = 666.

It is not a de Polignac number, because 131211232011 - 215 = 131211199243 is a prime.

It is a super-2 number, since 2×1312112320112 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131211232013) 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 23 ways as a sum of consecutive naturals, for example, 298656 + ... + 592973.

It is an arithmetic number, because the mean of its divisors is an integer number (8032694670).

Almost surely, 2131211232011 is an apocalyptic number.

131211232011 is a deficient number, since it is larger than the sum of its proper divisors (61573440069).

131211232011 is a wasteful number, since it uses less digits than its factorization.

131211232011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891915 (or 891912 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 131211232011 its reverse (110232112131), we get a palindrome (241443344142).

The spelling of 131211232011 in words is "one hundred thirty-one billion, two hundred eleven million, two hundred thirty-two thousand, eleven".

Divisors: 1 3 9 83 197 249 591 747 1773 16351 49053 147159 891629 2674887 8024661 74005207 175650913 222015621 526952739 666046863 1580858217 14579025779 43737077337 131211232011