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22132003323100 = 225211414311412367
BaseRepresentation
bin1010000100001000000100…
…01100100011110011011100
32220100210120100211221220111
411002010002030203303130
510400102320322314400
6115023145120255404
74442661450166306
oct502040214436334
986323510757814
1022132003323100
117063147994280
1225953b7171564
13c4706778b6c8
145672a2298976
15285a869e43ba
hex142102323cdc

22132003323100 has 144 divisors (see below), whose sum is σ = 54918505990656. Its totient is φ = 7669109952000.

The previous prime is 22132003323083. The next prime is 22132003323163. The reversal of 22132003323100 is 132330023122.

It is a super-2 number, since 2×221320033231002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3766884 + ... + 7645483.

It is an arithmetic number, because the mean of its divisors is an integer number (381378513824).

Almost surely, 222132003323100 is an apocalyptic number.

22132003323100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22132003323100 is an abundant number, since it is smaller than the sum of its proper divisors (32786502667556).

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

22132003323100 is a wasteful number, since it uses less digits than its factorization.

22132003323100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11412476 (or 11412469 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 22132003323100 its reverse (132330023122), we get a palindrome (22264333346222).

The spelling of 22132003323100 in words is "twenty-two trillion, one hundred thirty-two billion, three million, three hundred twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 41 43 44 50 55 82 86 100 110 164 172 205 215 220 275 410 430 451 473 550 820 860 902 946 1025 1075 1100 1763 1804 1892 2050 2150 2255 2365 3526 4100 4300 4510 4730 7052 8815 9020 9460 11275 11825 17630 19393 22550 23650 35260 38786 44075 45100 47300 77572 88150 96965 176300 193930 387860 484825 969650 1939300 11412367 22824734 45649468 57061835 114123670 125536037 228247340 251072074 285309175 467907047 490731781 502144148 570618350 627680185 935814094 981463562 1141236700 1255360370 1871628188 1962927124 2339535235 2453658905 2510720740 3138400925 4679070470 4907317810 5146977517 5398049591 6276801850 9358140940 9814635620 10293955034 10796099182 11697676175 12268294525 12553603700 20120003021 20587910068 21592198364 23395352350 24536589050 25734887585 26990247955 40240006042 46790704700 49073178100 51469775170 53980495910 80480012084 100600015105 102939550340 107960991820 128674437925 134951239775 201200030210 221320033231 257348875850 269902479550 402400060420 442640066462 503000075525 514697751700 539804959100 885280132924 1006000151050 1106600166155 2012000302100 2213200332310 4426400664620 5533000830775 11066001661550 22132003323100