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20100122012100 = 22352135153877439
BaseRepresentation
bin1001001000111111011001…
…01000011110100111000100
32122011112221001200201001010
410210133230220132213010
510113310022213341400
6110425511340202220
74143120522051534
oct444375450364704
978145831621033
1020100122012100
11644a460959689
122307656239370
13b2a583173190
144d6bcb59d4c4
1524ccb4b72450
hex1247eca1e9c4

20100122012100 has 72 divisors (see below), whose sum is σ = 62629918650880. Its totient is φ = 4947722340480.

The previous prime is 20100122012099. The next prime is 20100122012111. The reversal of 20100122012100 is 121022100102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2576934820 + ... + 2576942619.

Almost surely, 220100122012100 is an apocalyptic number.

20100122012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20100122012100 is an abundant number, since it is smaller than the sum of its proper divisors (42529796638780).

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

20100122012100 is a wasteful number, since it uses less digits than its factorization.

20100122012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5153877469 (or 5153877462 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20100122012100 its reverse (121022100102), we get a palindrome (20221144112202).

The spelling of 20100122012100 in words is "twenty trillion, one hundred billion, one hundred twenty-two million, twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1950 3900 5153877439 10307754878 15461632317 20615509756 25769387195 30923264634 51538774390 61846529268 67000406707 77308161585 103077548780 128846935975 134000813414 154616323170 201001220121 257693871950 268001626828 309232646340 335002033535 386540807925 402002440242 515387743900 670004067070 773081615850 804004880484 1005006100605 1340008134140 1546163231700 1675010167675 2010012201210 3350020335350 4020024402420 5025030503025 6700040670700 10050061006050 20100122012100