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20010002122020 = 22353155719314301
BaseRepresentation
bin1001000110010111100010…
…00100011000010100100100
32121211221022110012221122110
410203023301010120110210
510110320441020401040
6110320245034201020
74133450335452321
oct443136104302444
977757273187573
1020010002122020
1164152155a1389
1222b20a5283170
13b21c20565031
144d26bc7b3b48
1524a78d012980
hex1232f1118524

20010002122020 has 96 divisors (see below), whose sum is σ = 57939197654016. Its totient is φ = 5154600384000.

The previous prime is 20010002122009. The next prime is 20010002122027. The reversal of 20010002122020 is 2022120001002.

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

It is a junction number, because it is equal to n+sod(n) for n = 20010002121987 and 20010002122005.

It is not an unprimeable number, because it can be changed into a prime (20010002122027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8621131 + ... + 10693170.

It is an arithmetic number, because the mean of its divisors is an integer number (603533308896).

Almost surely, 220010002122020 is an apocalyptic number.

20010002122020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20010002122020 is an abundant number, since it is smaller than the sum of its proper divisors (37929195531996).

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

20010002122020 is a wasteful number, since it uses less digits than its factorization.

20010002122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19314901 (or 19314899 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 20010002122020 its reverse (2022120001002), we get a palindrome (22032122123022).

The spelling of 20010002122020 in words is "twenty trillion, ten billion, two million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 557 620 930 1114 1671 1860 2228 2785 3342 5570 6684 8355 11140 16710 17267 33420 34534 51801 69068 86335 103602 172670 207204 259005 345340 518010 1036020 19314301 38628602 57942903 77257204 96571505 115885806 193143010 231771612 289714515 386286020 579429030 598743331 1158858060 1197486662 1796229993 2394973324 2993716655 3592459986 5987433310 7184919972 8981149965 10758065657 11974866620 17962299930 21516131314 32274196971 35924599860 43032262628 53790328285 64548393942 107580656570 129096787884 161370984855 215161313140 322741969710 333500035367 645483939420 667000070734 1000500106101 1334000141468 1667500176835 2001000212202 3335000353670 4002000424404 5002500530505 6670000707340 10005001061010 20010002122020