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20123102444300 = 225219148710612039
BaseRepresentation
bin1001001001101010001100…
…10111110111101100001100
32122020202020121102121122122
410210311012113313230030
510114144103211204200
6110444231534432112
74144563144362252
oct444650627675414
978222217377578
1020123102444300
1164591837a3509
12230bbaa362638
13b2c7a617085b
144d7d6b6365d2
1524d6ac3b9385
hex124d465f7b0c

20123102444300 has 144 divisors (see below), whose sum is σ = 44048940687360. Its totient is φ = 7979210208000.

The previous prime is 20123102444299. The next prime is 20123102444321. The reversal of 20123102444300 is 344420132102.

It is a self number, because there is not a number n which added to its sum of digits gives 20123102444300.

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, 9869102681 + ... + 9869104719.

It is an arithmetic number, because the mean of its divisors is an integer number (305895421440).

Almost surely, 220123102444300 is an apocalyptic number.

20123102444300 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 20123102444300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22024470343680).

20123102444300 is an abundant number, since it is smaller than the sum of its proper divisors (23925838243060).

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

20123102444300 is a wasteful number, since it uses less digits than its factorization.

20123102444300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3792 (or 3785 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 20123102444300 its reverse (344420132102), we get a palindrome (20467522576402).

The spelling of 20123102444300 in words is "twenty trillion, one hundred twenty-three billion, one hundred two million, four hundred forty-four thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 191 382 487 764 955 974 1061 1910 1948 2039 2122 2435 3820 4078 4244 4775 4870 5305 8156 9550 9740 10195 10610 12175 19100 20390 21220 24350 26525 40780 48700 50975 53050 93017 101950 106100 186034 202651 203900 372068 389449 405302 465085 516707 778898 810604 930170 992993 1013255 1033414 1557796 1860340 1947245 1985986 2026510 2066828 2163379 2325425 2583535 3894490 3971972 4053020 4326758 4650850 4964965 5066275 5167070 7788980 8653516 9301700 9736225 9929930 10132550 10334140 10816895 12917675 19472450 19859860 20265100 21633790 24824825 25835350 38944900 43267580 49649650 51670700 54084475 98691037 99299300 108168950 189661663 197382074 216337900 379323326 394764148 413205389 493455185 758646652 826410778 948308315 986910370 1053565573 1652821556 1896616630 1973820740 2066026945 2107131146 2467275925 3793233260 4132053890 4214262292 4741541575 4934551850 5267827865 8264107780 9483083150 9869103700 10330134725 10535655730 18966166300 20660269450 21071311460 26339139325 41320538900 52678278650 105356557300 201231024443 402462048886 804924097772 1006155122215 2012310244430 4024620488860 5030775611075 10061551222150 20123102444300