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211200012020 = 22565367324029
BaseRepresentation
bin1100010010110010000…
…0000110111011110100
3202012010220002020122102
43010230200012323310
511430014200341040
6241005101121232
721154506324164
oct3045440067364
9665126066572
10211200012020
118162999aa88
1234b22559218
1316bba80641a
14a3177785a4
155761871515
hex312c806ef4

211200012020 has 48 divisors (see below), whose sum is σ = 444877770960. Its totient is φ = 84221792256.

The previous prime is 211200011993. The next prime is 211200012031. The reversal of 211200012020 is 20210002112.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1337072356 + 209862939664 = 36566^2 + 458108^2 .

It is a junction number, because it is equal to n+sod(n) for n = 211200011992 and 211200012010.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 8777366 + ... + 8801394.

It is an arithmetic number, because the mean of its divisors is an integer number (9268286895).

Almost surely, 2211200012020 is an apocalyptic number.

211200012020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211200012020 is an abundant number, since it is smaller than the sum of its proper divisors (233677758940).

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

211200012020 is a wasteful number, since it uses less digits than its factorization.

211200012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25364 (or 25362 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 211200012020 its reverse (20210002112), we get a palindrome (231410014132).

The spelling of 211200012020 in words is "two hundred eleven billion, two hundred million, twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 653 673 1306 1346 2612 2692 3265 3365 6530 6730 13060 13460 24029 48058 96116 120145 240290 439469 480580 878938 1757876 2197345 4394690 8789380 15690937 16171517 31381874 32343034 62763748 64686068 78454685 80857585 156909370 161715170 313818740 323430340 10560000601 21120001202 42240002404 52800003005 105600006010 211200012020