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331222003131201 = 371337197595327961
BaseRepresentation
bin100101101001111101010000…
…1110101101010001101000001
31121102202111212220010022222220
41023103322201311222031001
5321403220130300144301
63132241142043321253
7126524000003332020
oct11323724165521501
91542674786108886
10331222003131201
11965a050a911816
1231195062820229
13112a8140809010
145bb13326648b7
152845c9ed6e936
hex12d3ea1d6a341

331222003131201 has 128 divisors (see below), whose sum is σ = 561182168042496. Its totient is φ = 169091257466880.

The previous prime is 331222003131059. The next prime is 331222003131247. The reversal of 331222003131201 is 102131300222133.

It is not a de Polignac number, because 331222003131201 - 213 = 331222003123009 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (331222003136201) 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, 11845842861 + ... + 11845870821.

It is an arithmetic number, because the mean of its divisors is an integer number (4384235687832).

Almost surely, 2331222003131201 is an apocalyptic number.

It is an amenable number.

331222003131201 is a deficient number, since it is larger than the sum of its proper divisors (229960164911295).

331222003131201 is a wasteful number, since it uses less digits than its factorization.

331222003131201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34171.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 331222003131201 its reverse (102131300222133), we get a palindrome (433353303353334).

The spelling of 331222003131201 in words is "three hundred thirty-one trillion, two hundred twenty-two billion, three million, one hundred thirty-one thousand, two hundred one".

Divisors: 1 3 7 13 21 37 39 91 111 197 259 273 481 591 777 1379 1443 2561 3367 4137 5953 7289 7683 10101 17859 17927 21867 27961 41671 51023 53781 77389 83883 94757 125013 153069 195727 220261 232167 284271 363493 541723 587181 660783 663299 1034557 1090479 1172741 1541827 1625169 1989897 2544451 2863393 3103671 3518223 4625481 5508317 7241899 7633353 8209187 8590179 13449241 15245633 16524951 20043751 21725697 24627561 38558219 40347723 43391417 45736899 60131253 71608121 94144687 106719431 115674657 130174251 166451833 203807729 214824363 282434061 303739919 320158293 499355499 501256847 564088421 611423187 911219757 1165162831 1426654103 1503770541 1692265263 2163873829 2649500477 3495488493 3948618947 4279962309 6158717821 6491621487 7948501431 11845856841 15147116803 18476153463 18546503339 32791011101 43111024747 45441350409 55639510017 80063331673 98373033303 129333074241 229537077707 240189995019 426283144313 560443321711 688611233121 1213267410737 1278849432939 1681329965133 2983982010191 3639802232211 8492871875159 8951946030573 15772476339581 25478615625477 47317429018743 110407334377067 331222003131201