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131011332012 = 22351112253211
BaseRepresentation
bin111101000000011100…
…0100100011110101100
3110112011101221020100000
41322000320210132230
54121302400111022
6140104043304300
712315403643121
oct1720070443654
9415141836300
10131011332012
115061a532910
122148351b090
13c47b57b942
1464ab926748
15361ba326ac
hex1e80e247ac

131011332012 has 72 divisors (see below), whose sum is σ = 374654210112. Its totient is φ = 39700400400.

The previous prime is 131011331999. The next prime is 131011332019. The reversal of 131011332012 is 210233110131.

131011332012 is a `hidden beast` number, since 1 + 310 + 11 + 332 + 0 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (131011332019) 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, 6115914 + ... + 6137297.

It is an arithmetic number, because the mean of its divisors is an integer number (5203530696).

Almost surely, 2131011332012 is an apocalyptic number.

131011332012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131011332012 is an abundant number, since it is smaller than the sum of its proper divisors (243642878100).

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

131011332012 is a wasteful number, since it uses less digits than its factorization.

131011332012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12253241 (or 12253227 counting only the distinct ones).

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

Adding to 131011332012 its reverse (210233110131), we get a palindrome (341244442143).

The spelling of 131011332012 in words is "one hundred thirty-one billion, eleven million, three hundred thirty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 243 297 324 396 486 594 891 972 1188 1782 2673 3564 5346 10692 12253211 24506422 36759633 49012844 73519266 110278899 134785321 147038532 220557798 269570642 330836697 404355963 441115596 539141284 661673394 808711926 992510091 1213067889 1323346788 1617423852 1985020182 2426135778 2977530273 3639203667 3970040364 4852271556 5955060546 7278407334 10917611001 11910121092 14556814668 21835222002 32752833003 43670444004 65505666006 131011332012