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211210110212020 = 225101126378274073
BaseRepresentation
bin110000000001100000101111…
…100101111001011110110100
31000200211111012201201101222021
4300001200233211321132310
5210140431301203241040
62025112330220042524
762326266266034013
oct6001405745713664
91020744181641867
10211210110212020
1161330782a84387
121b831b26693444
1390b104949a27a
143a228a3ccca7a
1519640d659b24a
hexc0182f9797b4

211210110212020 has 48 divisors (see below), whose sum is σ = 447968229056208. Its totient is φ = 83640939033600.

The previous prime is 211210110211999. The next prime is 211210110212027. The reversal of 211210110212020 is 20212011012112.

It can be written as a sum of positive squares in 8 ways, for example, as 1513008241936 + 209697101970084 = 1230044^2 + 14480922^2 .

It is a junction number, because it is equal to n+sod(n) for n = 211210110211985 and 211210110212003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211210110212027) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 21389704 + ... + 29663776.

It is an arithmetic number, because the mean of its divisors is an integer number (9332671438671).

Almost surely, 2211210110212020 is an apocalyptic number.

211210110212020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211210110212020 is an abundant number, since it is smaller than the sum of its proper divisors (236758118844188).

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

211210110212020 is a wasteful number, since it uses less digits than its factorization.

211210110212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8286820 (or 8286818 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 211210110212020 its reverse (20212011012112), we get a palindrome (231422121224132).

The spelling of 211210110212020 in words is "two hundred eleven trillion, two hundred ten billion, one hundred ten million, two hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 101 202 404 505 1010 2020 12637 25274 50548 63185 126370 252740 1276337 2552674 5105348 6381685 8274073 12763370 16548146 25526740 33096292 41370365 82740730 165481460 835681373 1671362746 3342725492 4178406865 8356813730 16713627460 104559460501 209118921002 418237842004 522797302505 1045594605010 2091189210020 10560505510601 21121011021202 42242022042404 52802527553005 105605055106010 211210110212020