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323223001002213 = 3135310319357713633
BaseRepresentation
bin100100101111110000011100…
…0001010000111000011100101
31120101102211001200102000211020
41021133200320022013003211
5314331141201224032323
63103234332523201353
7125040043165145424
oct11137407012070345
91511384050360736
10323223001002213
1193a97117728874
1230302949076259
1310b47a4b887ca0
1459b611073b2bb
152757b8a819ae3
hex125f8382870e5

323223001002213 has 128 divisors (see below), whose sum is σ = 480803902645248. Its totient is φ = 191910194970624.

The previous prime is 323223001002203. The next prime is 323223001002257. The reversal of 323223001002213 is 312200100322323.

It is not a de Polignac number, because 323223001002213 - 24 = 323223001002197 is a prime.

It is a super-4 number, since 4×3232230010022134 (a number of 59 digits) contains 4444 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (323223001002203) 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, 23708861445 + ... + 23708875077.

It is an arithmetic number, because the mean of its divisors is an integer number (3756280489416).

Almost surely, 2323223001002213 is an apocalyptic number.

It is an amenable number.

323223001002213 is a deficient number, since it is larger than the sum of its proper divisors (157580901643035).

323223001002213 is a wasteful number, since it uses less digits than its factorization.

323223001002213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14575.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 323223001002213 its reverse (312200100322323), we get a palindrome (635423101324536).

The spelling of 323223001002213 in words is "three hundred twenty-three trillion, two hundred twenty-three billion, one million, two thousand, two hundred thirteen".

Divisors: 1 3 13 39 53 103 159 193 309 577 579 689 1339 1731 2067 2509 4017 5459 7501 7527 10229 13633 16377 19879 22503 30581 30687 40899 59431 59637 70967 91743 111361 132977 177229 178293 212901 258427 334083 397553 398931 531687 722549 772603 775281 1053587 1192659 1404199 1447693 2167647 2317809 2631169 3149843 3160761 4212597 4343079 5902133 7866241 7893507 9393137 9449529 11470183 13696631 17706399 18254587 23598723 28179411 34205197 34410549 40947959 41089893 54763761 74422547 76727729 102261133 102615591 122843877 139451957 149112379 223267641 230183187 271010407 306783399 416910773 418355871 447337137 607919699 810222823 813031221 967493111 1250732319 1518184513 1812875441 1823759097 2430668469 2902479333 3523135291 4554553539 5419840049 5438626323 7902956087 10532896699 10569405873 14363551571 16259520147 19736398669 23708868261 31598690097 42941809619 43090654713 59209196007 80463779189 128825428857 156373004839 186726170423 241391337567 469119014517 558243525047 560178511269 1046029129457 1674730575141 2032849062907 3138087388371 6098547188721 8287769256467 24863307769401 107741000334071 323223001002213