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131011187307 = 371113151311929
BaseRepresentation
bin111101000000011100…
…0000001001001101011
3110112011101122212211120
41322000320001021223
54121302330443212
6140104040230323
712315402501210
oct1720070011153
9415141585746
10131011187307
115061a444120
122148346b3a3
13c47b52ab10
1464ab8c9b07
15361ba0488c
hex1e80e0126b

131011187307 has 128 divisors (see below), whose sum is σ = 237104824320. Its totient is φ = 62138880000.

The previous prime is 131011187303. The next prime is 131011187347. The reversal of 131011187307 is 703781110131.

It is not a de Polignac number, because 131011187307 - 22 = 131011187303 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (131011187303) 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, 141023419 + ... + 141024347.

It is an arithmetic number, because the mean of its divisors is an integer number (1852381440).

Almost surely, 2131011187307 is an apocalyptic number.

131011187307 is a deficient number, since it is larger than the sum of its proper divisors (106093637013).

131011187307 is a wasteful number, since it uses less digits than its factorization.

131011187307 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1425.

The product of its (nonzero) digits is 3528, while the sum is 33.

Adding to 131011187307 its reverse (703781110131), we get a palindrome (834792297438).

The spelling of 131011187307 in words is "one hundred thirty-one billion, eleven million, one hundred eighty-seven thousand, three hundred seven".

Divisors: 1 3 7 11 13 21 33 39 77 91 143 151 231 273 311 429 453 929 933 1001 1057 1661 1963 2177 2787 3003 3171 3421 4043 4983 5889 6503 6531 10219 10263 11627 12077 12129 13741 19509 21593 23947 28301 30657 34881 36231 41223 44473 46961 64779 71533 71841 84539 84903 132847 133419 140279 140883 151151 214599 253617 288919 311311 328727 398541 420837 453453 516571 610493 866757 929929 933933 981953 986181 1543069 1549713 1823627 1831479 2022433 2789787 2945859 3178109 3615997 3755947 4273451 4629207 5470881 6067299 6715423 9534327 10801483 10847991 11267841 12765389 12820353 20059897 20146269 22246763 26291629 32404449 38296167 41315417 43626769 47007961 60179691 66740289 78874887 123946251 130880307 140419279 141023883 289207919 305387383 421257837 479894459 567147997 867623757 916162149 1439683377 1701443991 3359261213 3970035979 6238627967 10077783639 11910107937 18715883901 43670395769 131011187307