Search a number
-
+
131507133303 = 37313791071163
BaseRepresentation
bin111101001111001101…
…1111001101101110111
3110120102221212112211210
41322132123321231313
54123311311231203
6140225154132503
712333604122000
oct1723633715567
9416387775753
10131507133303
1150854391747
12215a1581133
13c52a1c38a0
1465177081a7
15364a31b803
hex1e9e6f9b77

131507133303 has 128 divisors (see below), whose sum is σ = 225275904000. Its totient is φ = 67789927296.

The previous prime is 131507133301. The next prime is 131507133313. The reversal of 131507133303 is 303331705131.

It is not a de Polignac number, because 131507133303 - 21 = 131507133301 is a prime.

It is a super-2 number, since 2×1315071333032 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131507133301) 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, 113075200 + ... + 113076362.

It is an arithmetic number, because the mean of its divisors is an integer number (1759968000).

Almost surely, 2131507133303 is an apocalyptic number.

131507133303 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

131507133303 is a deficient number, since it is larger than the sum of its proper divisors (93768770697).

131507133303 is a wasteful number, since it uses less digits than its factorization.

131507133303 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1386 (or 1372 counting only the distinct ones).

The product of its (nonzero) digits is 8505, while the sum is 30.

Adding to 131507133303 its reverse (303331705131), we get a palindrome (434838838434).

The spelling of 131507133303 in words is "one hundred thirty-one billion, five hundred seven million, one hundred thirty-three thousand, three hundred three".

Divisors: 1 3 7 13 21 39 49 79 91 107 147 237 273 321 343 553 637 749 1027 1029 1163 1391 1659 1911 2247 3081 3489 3871 4173 4459 5243 7189 8141 8453 9737 11613 13377 15119 15729 21567 24423 25359 27097 29211 36701 45357 50323 56987 59171 68159 81291 91877 105833 109889 110103 124441 150969 170961 177513 204477 275631 317499 329667 352261 373323 398909 414197 477113 643139 740831 769223 871087 1056783 1194401 1196727 1242591 1431339 1617733 1929417 2222493 2307669 2613261 2899379 3583203 4501973 4853199 5185817 5384561 6097609 8360807 8698137 9830839 11324131 13505919 15557451 16153683 18292827 25082421 29492517 31513811 33972393 37691927 42683263 58525649 68815873 79268917 94541433 113075781 127800907 128049789 175576947 206447619 237806751 383402721 409679543 481711111 554882419 894606349 1229038629 1445133333 1664647257 2683819047 3371977777 6262244443 10115933331 18786733329 43835711101 131507133303