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21223103013231 = 37191071513499433
BaseRepresentation
bin1001101001101011000111…
…00001000010000101101111
32210010220112112120021210220
410310311203201002011233
510240204403332410411
6113045431532302423
74320214164056430
oct464654341020557
983126475507726
1021223103013231
116842738402999
12246921a311a13
13bac43a0b7a72
145352bcc0b487
1526c0dce2db06
hex134d6384216f

21223103013231 has 128 divisors (see below), whose sum is σ = 34690553856000. Its totient is φ = 11272854758400.

The previous prime is 21223103013209. The next prime is 21223103013251. The reversal of 21223103013231 is 13231030132212.

It is not a de Polignac number, because 21223103013231 - 25 = 21223103013199 is a prime.

It is a super-2 number, since 2×212231030132312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21223103013251) 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, 2249873691 + ... + 2249883123.

It is an arithmetic number, because the mean of its divisors is an integer number (271019952000).

Almost surely, 221223103013231 is an apocalyptic number.

21223103013231 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

21223103013231 is a deficient number, since it is larger than the sum of its proper divisors (13467450842769).

21223103013231 is a wasteful number, since it uses less digits than its factorization.

21223103013231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10069.

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

Adding to 21223103013231 its reverse (13231030132212), we get a palindrome (34454133145443).

The spelling of 21223103013231 in words is "twenty-one trillion, two hundred twenty-three billion, one hundred three million, thirteen thousand, two hundred thirty-one".

Divisors: 1 3 7 19 21 57 107 133 151 321 349 399 453 749 1047 1057 2033 2247 2443 2869 3171 6099 6631 7329 8607 9433 14231 16157 19893 20083 28299 37343 42693 46417 48471 52699 60249 66031 112029 113099 139251 158097 179227 198093 261401 306983 339297 368893 537681 709517 784203 920949 1001281 1009331 1106679 1254589 1424383 2128551 2148881 3003843 3027993 3292117 3763767 4273149 4966619 5638793 6446643 7008967 7065317 9876351 9970681 14899857 16916379 19177289 21026901 21195951 23044819 27063277 29912043 39471551 57531867 62550223 69134457 81189831 107137067 118414653 134241023 152408981 187650669 189442939 321411201 352256519 402723069 437851561 457226943 497109667 568328817 749959469 1056769557 1066862867 1313554683 1491329001 2249878407 2465795633 2895770639 3200588601 3479767669 6692873861 7397386899 8687311917 9445083673 10439303007 20078621583 20270394473 28335251019 46850117027 53190734369 60811183419 66115585711 140550351081 159572203107 198346757133 372335140583 1010623953011 1117005421749 3031871859033 7074367671077 21223103013231