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212010020000 = 255410600501
BaseRepresentation
bin1100010101110011001…
…0000010110010100000
3202021020100020220200222
43011130302002302200
511433144031120000
6241221314302212
721213543302402
oct3053462026240
9667210226628
10212010020000
1181a05146a69
1235109887968
1316cb958169c
14a39318ab72
1557aca23a85
hex315cc82ca0

212010020000 has 60 divisors (see below), whose sum is σ = 521576499906. Its totient is φ = 84804000000.

The previous prime is 212010019891. The next prime is 212010020041. The reversal of 212010020000 is 20010212.

It can be written as a sum of positive squares in 5 ways, for example, as 45013562896 + 166996457104 = 212164^2 + 408652^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 212010020000.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5280251 + ... + 5320250.

Almost surely, 2212010020000 is an apocalyptic number.

212010020000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212010020000 is an abundant number, since it is smaller than the sum of its proper divisors (309566479906).

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

212010020000 is an equidigital number, since it uses as much as digits as its factorization.

212010020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10600531 (or 10600508 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 212010020000 its reverse (20010212), we get a palindrome (212030030212).

The spelling of 212010020000 in words is "two hundred twelve billion, ten million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 5000 10000 20000 10600501 21201002 42402004 53002505 84804008 106005010 169608016 212010020 265012525 339216032 424020040 530025050 848040080 1060050100 1325062625 1696080160 2120100200 2650125250 4240200400 5300250500 6625313125 8480400800 10600501000 13250626250 21201002000 26501252500 42402004000 53002505000 106005010000 212010020000