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212321012313033 = 34131993539972879
BaseRepresentation
bin110000010001101011010110…
…100001000110101111001001
31000211202200122102000021210000
4300101223112201012233021
5210312131413123004113
62031322532043313213
762502454421062431
oct6021532641065711
91024680572007700
10212321012313033
1161719921287208
121b99129951b809
139161a29b13790
143a6056b2612c1
151982e541ee373
hexc11ad6846bc9

212321012313033 has 160 divisors (see below), whose sum is σ = 344722549248000. Its totient is φ = 129459220475904.

The previous prime is 212321012313031. The next prime is 212321012313043. The reversal of 212321012313033 is 330313210123212.

212321012313033 is a `hidden beast` number, since 2 + 1 + 2 + 321 + 0 + 1 + 2 + 31 + 303 + 3 = 666.

It is not a de Polignac number, because 212321012313033 - 21 = 212321012313031 is a prime.

It is a super-2 number, since 2×2123210123130332 (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 212321012312988 and 212321012313006.

It is not an unprimeable number, because it can be changed into a prime (212321012313031) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 73748179288 + ... + 73748182166.

It is an arithmetic number, because the mean of its divisors is an integer number (2154515932800).

Almost surely, 2212321012313033 is an apocalyptic number.

It is an amenable number.

212321012313033 is a deficient number, since it is larger than the sum of its proper divisors (132401536934967).

212321012313033 is a wasteful number, since it uses less digits than its factorization.

212321012313033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4453 (or 4444 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 212321012313033 its reverse (330313210123212), we get a palindrome (542634222436245).

The spelling of 212321012313033 in words is "two hundred twelve trillion, three hundred twenty-one billion, twelve million, three hundred thirteen thousand, thirty-three".

Divisors: 1 3 9 13 27 39 81 117 199 351 353 597 997 1053 1059 1791 2587 2879 2991 3177 4589 5373 7761 8637 8973 9531 12961 13767 16119 23283 25911 26919 28593 37427 38883 41301 69849 70247 77733 80757 112281 116649 123903 198403 209547 210741 233199 336843 349947 351941 371709 572921 595209 632223 913211 1010529 1016287 1049841 1055823 1718763 1785627 1896669 2579239 2739633 2870363 3031587 3048861 3167469 4575233 5156289 5356881 5690007 7447973 7737717 8218899 8611089 9146583 9502407 13211731 13725699 15468867 16070643 22343919 23213151 24656697 25833267 27439749 28507221 37314719 39635193 41177097 46406601 67031757 69639453 70036259 73970091 77499801 82319247 111944157 118905579 123531291 201095271 202241113 208918359 210108777 232499403 335832471 356716737 370593873 571202237 603285813 606723339 630326331 910471367 1007497413 1013238139 1070150211 1713606711 1820170017 1890978993 2629134469 2731414101 3022492239 3039714417 5140820133 5460510051 5672936979 7425629081 7887403407 8194242303 9119143251 13172095807 15422460399 16381530153 22276887243 23662210221 24582726909 27357429753 39516287421 46267381197 66830661729 70986630663 73748180727 82072289259 118548862263 200491985187 201634389661 212959891989 355646586789 601475955561 604903168983 1066939760367 1814709506949 2621247065593 5444128520847 7863741196779 16332385562541 23591223590337 70773670771011 212321012313033