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131130230211 = 372353101487
BaseRepresentation
bin111101000011111111…
…0001000010111000011
3110112110200122220000000
41322013332020113003
54122023314331321
6140123531531043
712321346365111
oct1720776102703
9415420586000
10131130230211
1150680661892
12214b72b9a83
13c49a0ab1c6
1464bd636ab1
1536271bb826
hex1e87f885c3

131130230211 has 128 divisors (see below), whose sum is σ = 211591802880. Its totient is φ = 81062467200.

The previous prime is 131130230141. The next prime is 131130230219. The reversal of 131130230211 is 112032031131.

131130230211 is a `hidden beast` number, since 1 + 311 + 302 + 30 + 21 + 1 = 666.

It is not a de Polignac number, because 131130230211 - 210 = 131130229187 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131130230219) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 269261010 + ... + 269261496.

It is an arithmetic number, because the mean of its divisors is an integer number (1653060960).

Almost surely, 2131130230211 is an apocalyptic number.

131130230211 is a deficient number, since it is larger than the sum of its proper divisors (80461572669).

131130230211 is an equidigital number, since it uses as much as digits as its factorization.

131130230211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 667 counting only the distinct ones).

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

Adding to 131130230211 its reverse (112032031131), we get a palindrome (243162261342).

The spelling of 131130230211 in words is "one hundred thirty-one billion, one hundred thirty million, two hundred thirty thousand, two hundred eleven".

Divisors: 1 3 9 23 27 53 69 81 101 159 207 243 303 477 487 621 729 909 1219 1431 1461 1863 2187 2323 2727 3657 4293 4383 5353 5589 6969 8181 10971 11201 12879 13149 16059 16767 20907 24543 25811 32913 33603 38637 39447 48177 49187 50301 62721 73629 77433 98739 100809 115911 118341 123119 144531 147561 188163 220887 232299 296217 302427 355023 369357 433593 442683 564489 593653 696897 888651 907281 1065069 1108071 1131301 1300779 1328049 1693467 1780959 2090691 2606911 2665953 2721843 3324213 3393903 3902337 3984147 5080401 5342877 6272073 7820733 8165529 9972639 10181709 11707011 11952441 16028631 18816219 23462199 24496587 29917917 30545127 35857323 48085893 56448657 59958953 70386597 89753751 91635381 107571969 144257679 179876859 211159791 269261253 274906143 432773037 539630577 633479373 824718429 1298319111 1618891731 1900438119 2474155287 4856675193 5701314357 14570025579 43710076737 131130230211