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210011212020 = 223547373199657
BaseRepresentation
bin1100001110010110100…
…1001100100011110100
3202002002001010221121210
43003211221030203310
511420100332241040
6240251113041420
721113162564031
oct3034551144364
9662061127553
10210011212020
1181079943a45
12348503b6270
1316a5b433a7c
14a243922388
1556e22e9480
hex30e5a4c8f4

210011212020 has 96 divisors (see below), whose sum is σ = 602155749888. Its totient is φ = 54664215552.

The previous prime is 210011212007. The next prime is 210011212027. The reversal of 210011212020 is 20212110012.

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 = 210011211987 and 210011212005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210011212027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 952032 + ... + 1151688.

It is an arithmetic number, because the mean of its divisors is an integer number (6272455728).

Almost surely, 2210011212020 is an apocalyptic number.

210011212020 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 210011212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301077874944).

210011212020 is an abundant number, since it is smaller than the sum of its proper divisors (392144537868).

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

210011212020 is a wasteful number, since it uses less digits than its factorization.

210011212020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200089 (or 200087 counting only the distinct ones).

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

Adding to 210011212020 its reverse (20212110012), we get a palindrome (230223322032).

The spelling of 210011212020 in words is "two hundred ten billion, eleven million, two hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 235 282 373 470 564 705 746 940 1119 1410 1492 1865 2238 2820 3730 4476 5595 7460 11190 17531 22380 35062 52593 70124 87655 105186 175310 199657 210372 262965 350620 399314 525930 598971 798628 998285 1051860 1197942 1996570 2395884 2994855 3993140 5989710 9383879 11979420 18767758 28151637 37535516 46919395 56303274 74472061 93838790 112606548 140758185 148944122 187677580 223416183 281516370 297888244 372360305 446832366 563032740 744720610 893664732 1117080915 1489441220 2234161830 3500186867 4468323660 7000373734 10500560601 14000747468 17500934335 21001121202 35001868670 42002242404 52502803005 70003737340 105005606010 210011212020