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332143320121431 = 372132272971257713
BaseRepresentation
bin100101110000101010010010…
…0100111000100000001010111
31121120000120222001120201102220
41023201110210213010001113
5322013314004422341211
63134224311304033423
7126650364050462100
oct11341244447040127
91546016861521386
10332143320121431
1196916211282905
1231303725a62873
1311343c997761c0
145c03b72bd73a7
15285ec23a61806
hex12e15249c4057

332143320121431 has 96 divisors (see below), whose sum is σ = 557422566398208. Its totient is φ = 174365300229120.

The previous prime is 332143320121373. The next prime is 332143320121493. The reversal of 332143320121431 is 134121023341233.

It is not a de Polignac number, because 332143320121431 - 26 = 332143320121367 is a prime.

It is a super-2 number, since 2×3321433201214312 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 332143320121392 and 332143320121401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332143320101431) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1288682031 + ... + 1288939743.

It is an arithmetic number, because the mean of its divisors is an integer number (5806485066648).

Almost surely, 2332143320121431 is an apocalyptic number.

332143320121431 is a deficient number, since it is larger than the sum of its proper divisors (225279246276777).

332143320121431 is a wasteful number, since it uses less digits than its factorization.

332143320121431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260941 (or 260934 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

Adding to 332143320121431 its reverse (134121023341233), we get a palindrome (466264343462664).

The spelling of 332143320121431 in words is "three hundred thirty-two trillion, one hundred forty-three billion, three hundred twenty million, one hundred twenty-one thousand, four hundred thirty-one".

Divisors: 1 3 7 13 21 39 49 91 147 227 273 637 681 1589 1911 2951 2971 4767 8853 8913 11123 20657 20797 33369 38623 61971 62391 115869 144599 145579 257713 270361 433797 436737 674417 773139 811083 1803991 1892527 2023251 3350269 4720919 5411973 5677581 8767421 10050807 12627937 14162757 23451883 26302263 33046433 37883811 58500851 61371947 70355649 99139299 164163181 175502553 184115841 409505957 429603629 492489543 760511063 765665323 1228517871 1288810887 2281533189 2296995969 2866541699 5323577441 5359657261 8599625097 9953649199 15970732323 16078971783 29860947597 37265042087 37517600827 69675544393 111795126261 112552802481 173806028321 209026633179 487728810751 521418084963 1216642198247 1463186432253 2259478368173 3649926594741 6778435104519 8516495387729 15816348577211 25549486163187 47449045731633 110714440040477 332143320121431