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212042205020 = 225731399103813
BaseRepresentation
bin1100010101111010110…
…0110100011101011100
3202021022120211002020202
43011132230310131130
511433230301030040
6241224424203032
721214414001312
oct3053654643534
9667276732222
10212042205020
1181a2132a058
1235118609478
1316cc3140089
14a3975680b2
1557b0780015
hex315eb3475c

212042205020 has 48 divisors (see below), whose sum is σ = 451715476800. Its totient is φ = 83594405376.

The previous prime is 212042204987. The next prime is 212042205091. The reversal of 212042205020 is 20502240212.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 212042204983 and 212042205001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1990634 + ... + 2094446.

It is an arithmetic number, because the mean of its divisors is an integer number (9410739100).

Almost surely, 2212042205020 is an apocalyptic number.

212042205020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212042205020 is an abundant number, since it is smaller than the sum of its proper divisors (239673271780).

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

212042205020 is a wasteful number, since it uses less digits than its factorization.

212042205020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105294 (or 105292 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

Adding to 212042205020 its reverse (20502240212), we get a palindrome (232544445232).

The spelling of 212042205020 in words is "two hundred twelve billion, forty-two million, two hundred five thousand, twenty".

Divisors: 1 2 4 5 10 20 73 146 292 365 730 1399 1460 2798 5596 6995 13990 27980 102127 103813 204254 207626 408508 415252 510635 519065 1021270 1038130 2042540 2076260 7578349 15156698 30313396 37891745 75783490 145234387 151566980 290468774 580937548 726171935 1452343870 2904687740 10602110251 21204220502 42408441004 53010551255 106021102510 212042205020