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211211011002020 = 225314121817380843
BaseRepresentation
bin110000000001100001100101…
…010010001000111010100100
31000200211120112111201021112212
4300001201211102020322210
5210140440122304031040
62025112555435102552
762326330514442641
oct6001414522107244
91020746474637485
10211211011002020
11613310a54a6227
121b8321382a1a58
1390b1160cac3c3
143a2294b7b2dc8
15196413a6d1d65
hexc01865488ea4

211211011002020 has 96 divisors (see below), whose sum is σ = 469040791919616. Its totient is φ = 79761111091200.

The previous prime is 211211011001983. The next prime is 211211011002029. The reversal of 211211011002020 is 20200110112112.

It is a super-2 number, since 2×2112110110020202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211211011001986 and 211211011002004.

It is not an unprimeable number, because it can be changed into a prime (211211011002029) 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, 554397719 + ... + 554778561.

It is an arithmetic number, because the mean of its divisors is an integer number (4885841582496).

Almost surely, 2211211011002020 is an apocalyptic number.

211211011002020 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 211211011002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234520395959808).

211211011002020 is an abundant number, since it is smaller than the sum of its proper divisors (257829780917596).

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

211211011002020 is a wasteful number, since it uses less digits than its factorization.

211211011002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402741 (or 402739 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 211211011002020 its reverse (20200110112112), we get a palindrome (231411121114132).

The spelling of 211211011002020 in words is "two hundred eleven trillion, two hundred eleven billion, eleven million, two thousand, twenty".

Divisors: 1 2 4 5 10 20 31 41 62 82 124 155 164 205 310 410 620 820 1271 2542 5084 6355 12710 21817 25420 43634 87268 109085 218170 380843 436340 676327 761686 894497 1352654 1523372 1788994 1904215 2705308 3381635 3577988 3808430 4472485 6763270 7616860 8944970 11806133 13526540 15614563 17889940 23612266 27729407 31229126 47224532 55458814 59030665 62458252 78072815 110917628 118061330 138647035 156145630 236122660 277294070 312291260 484051453 554588140 968102906 1936205812 2420257265 4840514530 8308851731 9681029060 16617703462 33235406924 41544258655 83088517310 166177034620 257574403661 340662920971 515148807322 681325841942 1030297614644 1287872018305 1362651683884 1703314604855 2575744036610 3406629209710 5151488073220 6813258419420 10560550550101 21121101100202 42242202200404 52802752750505 105605505501010 211211011002020