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1331410142223 = 337415910926717
BaseRepresentation
bin10011010111111110001…
…110101000010000001111
311201021121021002000002000
4103113332032220100033
5133303211444022343
62455350312003343
7165122404324140
oct23277616502017
94637537060060
101331410142223
11473714351a17
12196052690553
139872267c505
1448624dc5ac7
1524976748ed3
hex135fe3a840f

1331410142223 has 128 divisors (see below), whose sum is σ = 2369993472000. Its totient is φ = 722947783680.

The previous prime is 1331410142221. The next prime is 1331410142281. The reversal of 1331410142223 is 3222410141331.

1331410142223 is a `hidden beast` number, since 1 + 331 + 4 + 101 + 4 + 2 + 223 = 666.

It is not a de Polignac number, because 1331410142223 - 21 = 1331410142221 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331410142221) 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, 49820461 + ... + 49847177.

It is an arithmetic number, because the mean of its divisors is an integer number (18515574000).

Almost surely, 21331410142223 is an apocalyptic number.

1331410142223 is a deficient number, since it is larger than the sum of its proper divisors (1038583329777).

1331410142223 is a wasteful number, since it uses less digits than its factorization.

1331410142223 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26942 (or 26936 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 1331410142223 its reverse (3222410141331), we get a palindrome (4553820283554).

The spelling of 1331410142223 in words is "one trillion, three hundred thirty-one billion, four hundred ten million, one hundred forty-two thousand, two hundred twenty-three".

Divisors: 1 3 7 9 21 27 41 59 63 109 123 177 189 287 327 369 413 531 763 861 981 1107 1239 1593 2289 2419 2583 2943 3717 4469 6431 6867 7257 7749 11151 13407 16933 19293 20601 21771 26717 31283 40221 45017 50799 57879 65313 80151 93849 120663 135051 152397 173637 187019 240453 263671 281547 405153 457191 561057 721359 791013 844641 1095397 1215459 1576303 1683171 1845697 2373039 2912153 3286191 4728909 5049513 5537091 7119117 7667779 8736459 9858573 11034121 14186727 16611273 20385071 23003337 26209377 29575719 33102363 42560181 49833819 61155213 64628423 69010011 78628131 99307089 119398273 171817027 183465639 193885269 207030033 297921267 358194819 452398961 515451081 550396917 581655807 835787911 1074584457 1202719189 1357196883 1546353243 1744967421 2507363733 3223753371 3608157567 4071590649 4639059729 7044498107 7522091199 10824472701 12214771947 21133494321 22566273597 32473418103 49311486749 63400482963 147934460247 190201448889 443803380741 1331410142223