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331333400020311 = 3213194613109103993
BaseRepresentation
bin100101101010110001001000…
…1100111000100010101010111
31121110011011102100000121222200
41023111202101213010111113
5321412031300401122221
63132404243533255543
7126535022346300333
oct11325422147042527
91543134370017880
10331333400020311
1196633784516337
12311b27713345b3
13112b57b4535710
145bb689d18a7c3
152848b1e8e5426
hex12d58919c4557

331333400020311 has 96 divisors (see below), whose sum is σ = 543891199051200. Its totient is φ = 192683166197760.

The previous prime is 331333400020303. The next prime is 331333400020327. The reversal of 331333400020311 is 113020004333133.

331333400020311 is a `hidden beast` number, since 3 + 3 + 1 + 3 + 3 + 340 + 0 + 0 + 2 + 0 + 311 = 666.

It is not a de Polignac number, because 331333400020311 - 23 = 331333400020303 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331333400000311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3186060531 + ... + 3186164523.

It is an arithmetic number, because the mean of its divisors is an integer number (5665533323450).

Almost surely, 2331333400020311 is an apocalyptic number.

331333400020311 is a deficient number, since it is larger than the sum of its proper divisors (212557799030889).

331333400020311 is a wasteful number, since it uses less digits than its factorization.

331333400020311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107601 (or 107598 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 331333400020311 its reverse (113020004333133), we get a palindrome (444353404353444).

The spelling of 331333400020311 in words is "three hundred thirty-one trillion, three hundred thirty-three billion, four hundred million, twenty thousand, three hundred eleven".

Divisors: 1 3 9 13 19 39 57 117 171 247 461 741 1383 2223 3109 4149 5993 8759 9327 17979 26277 27981 40417 53937 59071 78831 103993 113867 121251 177213 311979 341601 363753 531639 767923 935937 1024803 1351909 1433249 1975867 2303769 4055727 4299747 5927601 6911307 12167181 12899241 17782803 18632237 25686271 27231731 47940773 55896711 77058813 81695193 143822319 167690133 231176439 245085579 323314237 354012503 431466957 623230049 910874687 969942711 1062037509 1869690147 2732624061 2909828133 3186112527 4203085081 5609070441 6142970503 8197872183 11841370931 12609255243 18428911509 35524112793 37827765729 55286734527 79858616539 106572338379 149047863257 239575849617 447143589771 718727548851 1341430769313 1937622222341 2831909401883 5812866667023 8495728205649 17438600001069 25487184616947 36814822224479 110444466673437 331333400020311