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22131120203000 = 2353127379459791
BaseRepresentation
bin1010000100000110011011…
…00011101110010011111000
32220100201021211002210212122
411002003031203232103320
510400044013232444000
6115022521332100412
74442630534613164
oct502031543562370
986321254083778
1022131120203000
117062834441056
1225951ab464708
13c46c56825233
1456721ac93ca4
15285a341ee085
hex1420cd8ee4f8

22131120203000 has 128 divisors (see below), whose sum is σ = 52332421939200. Its totient is φ = 8759551248000.

The previous prime is 22131120202993. The next prime is 22131120203011. The reversal of 22131120203000 is 30202113122.

It is a super-2 number, since 2×221311202030002 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22131120203000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47903105 + ... + 48362895.

It is an arithmetic number, because the mean of its divisors is an integer number (408847046400).

Almost surely, 222131120203000 is an apocalyptic number.

22131120203000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22131120203000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26166210969600).

22131120203000 is an abundant number, since it is smaller than the sum of its proper divisors (30201301736200).

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

22131120203000 is a wasteful number, since it uses less digits than its factorization.

22131120203000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460318 (or 460304 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 22131120203000 its reverse (30202113122), we get a palindrome (22161322316122).

The spelling of 22131120203000 in words is "twenty-two trillion, one hundred thirty-one billion, one hundred twenty million, two hundred three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 127 200 250 254 379 500 508 635 758 1000 1016 1270 1516 1895 2540 3032 3175 3790 5080 6350 7580 9475 12700 15160 15875 18950 25400 31750 37900 47375 48133 63500 75800 94750 96266 127000 189500 192532 240665 379000 385064 459791 481330 919582 962660 1203325 1839164 1925320 2298955 2406650 3678328 4597910 4813300 6016625 9195820 9626600 11494775 12033250 18391640 22989550 24066500 45979100 48133000 57473875 58393457 91958200 114947750 116786914 174260789 229895500 233573828 291967285 348521578 459791000 467147656 583934570 697043156 871303945 1167869140 1394086312 1459836425 1742607890 2335738280 2919672850 3485215780 4356519725 5839345700 6970431560 7299182125 8713039450 11678691400 14598364250 17426078900 21782598625 22131120203 29196728500 34852157800 43565197250 44262240406 58393457000 87130394500 88524480812 110655601015 174260789000 177048961624 221311202030 442622404060 553278005075 885244808120 1106556010150 2213112020300 2766390025375 4426224040600 5532780050750 11065560101500 22131120203000