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131211434311332 = 22312031990877469
BaseRepresentation
bin11101110101011000001010…
…111011101011111010100100
3122012120200122110101121010120
4131311120022323223322210
5114144232004140430312
61143021411211321540
736431466442355244
oct3565301273537244
9565520573347116
10131211434311332
1138898502aa26a1
12128717a3a502b0
13582a253a6028b
14245894b12db24
15102819d01328c
hex77560aeebea4

131211434311332 has 24 divisors (see below), whose sum is σ = 306162561331200. Its totient is φ = 43736780779296.

The previous prime is 131211434311297. The next prime is 131211434311369. The reversal of 131211434311332 is 233113434112131.

It is a happy number.

It is a super-2 number, since 2×1312114343113322 (a number of 29 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 131211434311293 and 131211434311302.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43994907 + ... + 46882562.

It is an arithmetic number, because the mean of its divisors is an integer number (12756773388800).

Almost surely, 2131211434311332 is an apocalyptic number.

131211434311332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131211434311332 is an abundant number, since it is smaller than the sum of its proper divisors (174951127019868).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131211434311332 is a wasteful number, since it uses less digits than its factorization.

131211434311332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90997795 (or 90997793 counting only the distinct ones).

The product of its digits is 15552, while the sum is 33.

Adding to 131211434311332 its reverse (233113434112131), we get a palindrome (364324868423463).

The spelling of 131211434311332 in words is "one hundred thirty-one trillion, two hundred eleven billion, four hundred thirty-four million, three hundred eleven thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 120319 240638 360957 481276 721914 1443828 90877469 181754938 272632407 363509876 545264814 1090529628 10934286192611 21868572385222 32802858577833 43737144770444 65605717155666 131211434311332