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22013130134000 = 2453531371515847
BaseRepresentation
bin1010000000101010101001…
…10011010101000111110000
32212221102201212222021101002
411000111110303111013300
510341130342303242000
6114452405315301132
74431252612564005
oct500252463250760
985842655867332
1022013130134000
117017797096935
1225763608aa7a8
13c38aa1b81565
1456162686d8ac
1528292a91d8d5
hex140554cd51f0

22013130134000 has 160 divisors (see below), whose sum is σ = 54627936195456. Its totient is φ = 8576050329600.

The previous prime is 22013130133993. The next prime is 22013130134027. The reversal of 22013130134000 is 43103131022.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13764077 + ... + 15279923.

Almost surely, 222013130134000 is an apocalyptic number.

22013130134000 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 22013130134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27313968097728).

22013130134000 is an abundant number, since it is smaller than the sum of its proper divisors (32614806061456).

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

22013130134000 is a wasteful number, since it uses less digits than its factorization.

22013130134000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1516060 (or 1516044 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 22013130134000 its reverse (43103131022), we get a palindrome (22056233265022).

The spelling of 22013130134000 in words is "twenty-two trillion, thirteen billion, one hundred thirty million, one hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 53 80 100 106 125 137 200 212 250 265 274 400 424 500 530 548 685 848 1000 1060 1096 1325 1370 2000 2120 2192 2650 2740 3425 4240 5300 5480 6625 6850 7261 10600 10960 13250 13700 14522 17125 21200 26500 27400 29044 34250 36305 53000 54800 58088 68500 72610 106000 116176 137000 145220 181525 274000 290440 363050 580880 726100 907625 1452200 1515847 1815250 2904400 3031694 3630500 6063388 7261000 7579235 12126776 14522000 15158470 24253552 30316940 37896175 60633880 75792350 80339891 121267760 151584700 160679782 189480875 207671039 303169400 321359564 378961750 401699455 415342078 606338800 642719128 757923500 803398910 830684156 1038355195 1285438256 1515847000 1606797820 1661368312 2008497275 2076710390 3031694000 3213595640 3322736624 4016994550 4153420780 5191775975 6427191280 8033989100 8306841560 10042486375 10383551950 11006565067 16067978200 16613683120 20084972750 20767103900 22013130134 25958879875 32135956400 40169945500 41534207800 44026260268 51917759750 55032825335 80339891000 83068415600 88052520536 103835519500 110065650670 160679782000 176105041072 207671039000 220131301340 275164126675 415342078000 440262602680 550328253350 880525205360 1100656506700 1375820633375 2201313013400 2751641266750 4402626026800 5503282533500 11006565067000 22013130134000