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20001332123124 = 223112321312186543
BaseRepresentation
bin1001000110000111011000…
…10010111101010111110100
32121211002221020002101001020
410203003230102331113310
510110200212010414444
6110312252442101140
74133022440622522
oct443035422752764
977732836071036
1020001332123124
116411576605940
1222b04857aa7b0
13b2116b288181
144d20d9141312
1524a431cbe119
hex1230ec4bd5f4

20001332123124 has 144 divisors (see below), whose sum is σ = 53628612516864. Its totient is φ = 5753229310400.

The previous prime is 20001332123077. The next prime is 20001332123131. The reversal of 20001332123124 is 42132123310002.

It is a junction number, because it is equal to n+sod(n) for n = 20001332123094 and 20001332123103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8054197 + ... + 10240739.

It is an arithmetic number, because the mean of its divisors is an integer number (372420920256).

Almost surely, 220001332123124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20001332123124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26814306258432).

20001332123124 is an abundant number, since it is smaller than the sum of its proper divisors (33627280393740).

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

20001332123124 is a wasteful number, since it uses less digits than its factorization.

20001332123124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2186738 (or 2186713 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 20001332123124 its reverse (42132123310002), we get a palindrome (62133455433126).

The spelling of 20001332123124 in words is "twenty trillion, one billion, three hundred thirty-two million, one hundred twenty-three thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 131 132 138 253 262 276 393 506 524 529 759 786 1012 1058 1441 1518 1572 1587 2116 2882 3013 3036 3174 4323 5764 5819 6026 6348 8646 9039 11638 12052 17292 17457 18078 23276 33143 34914 36156 66286 69299 69828 99429 132572 138598 198858 207897 277196 397716 415794 762289 831588 1524578 2186543 2286867 3049156 4373086 4573734 6559629 8746172 9147468 13119258 24051973 26238516 48103946 50290489 72155919 96207892 100580978 144311838 150871467 201161956 286437133 288623676 301742934 553195379 572874266 603485868 859311399 1106390758 1145748532 1156681247 1659586137 1718622798 2212781516 2313362494 3150808463 3319172274 3437245596 3470043741 4626724988 6301616926 6588054059 6638344548 6940087482 9452425389 12603233852 12723493717 13176108118 13880174964 18904850778 19764162177 25446987434 26352216236 37809701556 38170481151 39528324354 50893974868 72468594649 76340962302 79056648708 144937189298 151525243357 152681924604 217405783947 289874378596 303050486714 434811567894 454575730071 606100973428 869623135788 909151460142 1666777676927 1818302920284 3333555353854 5000333030781 6667110707708 10000666061562 20001332123124