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131303032320333 = 317731372113113923
BaseRepresentation
bin11101110110101101011110…
…100110010111000101001101
3122012220110002002012120111110
4131312231132212113011031
5114202232102233222313
61143131440314442233
736441221354530206
oct3566553646270515
9565813062176443
10131303032320333
1138923337755585
12128874a7a33379
135835a9096bcc3
14245d15a3645ad
15102a75e7e8ec3
hex776b5e99714d

131303032320333 has 128 divisors (see below), whose sum is σ = 190837077110784. Its totient is φ = 80003679436800.

The previous prime is 131303032320323. The next prime is 131303032320337. The reversal of 131303032320333 is 333023230303131.

It is a happy number.

It is not a de Polignac number, because 131303032320333 - 236 = 131234312843597 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 131303032320333.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131303032320337) 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, 33470054710 + ... + 33470058632.

It is an arithmetic number, because the mean of its divisors is an integer number (1490914664928).

Almost surely, 2131303032320333 is an apocalyptic number.

It is an amenable number.

131303032320333 is a deficient number, since it is larger than the sum of its proper divisors (59534044790451).

131303032320333 is a wasteful number, since it uses less digits than its factorization.

131303032320333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4675.

The product of its (nonzero) digits is 26244, while the sum is 30.

Adding to 131303032320333 its reverse (333023230303131), we get a palindrome (464326262623464).

The spelling of 131303032320333 in words is "one hundred thirty-one trillion, three hundred three billion, thirty-two million, three hundred twenty thousand, three hundred thirty-three".

Divisors: 1 3 17 51 73 137 211 219 311 411 633 933 1241 2329 3587 3723 3923 5287 6987 10001 10761 11769 15403 15861 22703 28907 30003 42607 46209 65621 66691 68109 86721 127821 170017 196863 200073 261851 286379 385951 491419 510051 537451 724319 785553 827753 859137 1115557 1157853 1220053 1474257 1612353 2110211 2172957 2483259 3110311 3346671 3660159 4790333 4868443 6330633 8990077 9136667 9330933 14071801 14370999 14605329 20740901 26970231 27410001 35873587 39233923 42215403 52875287 60425969 62222703 81435661 89063869 107620761 113402161 117701769 152831309 158625861 167147261 181277907 244306983 257431183 267191607 340206483 458493927 501441783 656275621 666976691 772293549 1027241473 1514085773 1927836737 1968826863 2000930073 2841503437 3081724419 4376330111 4542257319 5783510211 8278357753 8524510311 11156685557 12201750053 13128990333 18792476359 24835073259 33470056671 35268072071 36605250159 56377429077 105804216213 140732081801 207429750901 319472098103 422196245403 599557225207 622289252703 958416294309 1798671675621 2574569261183 7723707783549 43767677440111 131303032320333