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223120102203012 = 22376126831045151
BaseRepresentation
bin110010101110110100110010…
…011011110001111010000100
31002021000001222112211220100110
4302232310302123301322010
5213221044432130444022
62110311543202113020
764665616062435060
oct6256646233617204
91067001875756313
10223120102203012
1165102781a67883
122103620694b770
13976619b4c2311
143d150db8c6aa0
151abdcec5ac00c
hexcaed326f1e84

223120102203012 has 144 divisors (see below), whose sum is σ = 605786955411456. Its totient is φ = 62611675632000.

The previous prime is 223120102203001. The next prime is 223120102203013. The reversal of 223120102203012 is 210302201021322.

It is a super-3 number, since 3×2231201022030123 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 223120102203012.

It is not an unprimeable number, because it can be changed into a prime (223120102203013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 212958637 + ... + 214003787.

It is an arithmetic number, because the mean of its divisors is an integer number (4206853857024).

Almost surely, 2223120102203012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223120102203012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302893477705728).

223120102203012 is an abundant number, since it is smaller than the sum of its proper divisors (382666853208444).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

223120102203012 is a wasteful number, since it uses less digits than its factorization.

223120102203012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045970 (or 1045907 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 223120102203012 its reverse (210302201021322), we get a palindrome (433422303224334).

The spelling of 223120102203012 in words is "two hundred twenty-three trillion, one hundred twenty billion, one hundred two million, two hundred three thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 61 84 122 183 244 366 427 683 732 854 1281 1366 1708 2049 2562 2732 3721 4098 4781 5124 7442 8196 9562 11163 14343 14884 19124 22326 26047 28686 41663 44652 52094 57372 78141 83326 104188 124989 156282 166652 249978 291641 312564 499956 583282 874923 1045151 1166564 1749846 2090302 2541443 3135453 3499692 4180604 5082886 6270906 7316057 7624329 10165772 12541812 14632114 15248658 17790101 21948171 29264228 30497316 35580202 43896342 53370303 63754211 71160404 87792684 106740606 127508422 191262633 213481212 255016844 382525266 446279477 713838133 765050532 892558954 1338838431 1427676266 1785117908 2141514399 2677676862 2855352532 3889006871 4283028798 4996866931 5355353724 7778013742 8566057596 9993733862 11667020613 14990600793 15556027484 19987467724 23334041226 27223048097 29981201586 43544126113 46668082452 54446096194 59962403172 81669144291 87088252226 108892192388 130632378339 163338288582 174176504452 261264756678 304808882791 326676577164 522529513356 609617765582 914426648373 1219235531164 1828853296746 2656191692893 3657706593492 5312383385786 7968575078679 10624766771572 15937150157358 18593341850251 31874300314716 37186683700502 55780025550753 74373367401004 111560051101506 223120102203012