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212020000020 = 223251577502477
BaseRepresentation
bin1100010101110101100…
…0000111010100010100
3202021021001000221201100
43011131120013110110
511433204110000040
6241222312230100
721214024156563
oct3053530072424
9667231027640
10212020000020
1181a0a843114
123511109b330
1316cbb66711a
14a394627bda
1557ad845b30
hex315d607514

212020000020 has 72 divisors (see below), whose sum is σ = 647223772104. Its totient is φ = 56178540288.

The previous prime is 212019999979. The next prime is 212020000037. The reversal of 212020000020 is 20000020212.

It can be written as a sum of positive squares in 4 ways, for example, as 1740892176 + 210279107844 = 41724^2 + 458562^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 212019999957 and 212020000011.

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 23 ways as a sum of consecutive naturals, for example, 3722979 + ... + 3779498.

It is an arithmetic number, because the mean of its divisors is an integer number (8989219057).

Almost surely, 2212020000020 is an apocalyptic number.

212020000020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212020000020 is an abundant number, since it is smaller than the sum of its proper divisors (435203772084).

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

212020000020 is a wasteful number, since it uses less digits than its factorization.

212020000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7502649 (or 7502644 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 212020000020 its reverse (20000020212), we get a palindrome (232020020232).

The spelling of 212020000020 in words is "two hundred twelve billion, twenty million, twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 157 180 314 471 628 785 942 1413 1570 1884 2355 2826 3140 4710 5652 7065 9420 14130 28260 7502477 15004954 22507431 30009908 37512385 45014862 67522293 75024770 90029724 112537155 135044586 150049540 225074310 270089172 337611465 450148620 675222930 1177888889 1350445860 2355777778 3533666667 4711555556 5889444445 7067333334 10601000001 11778888890 14134666668 17668333335 21202000002 23557777780 35336666670 42404000004 53005000005 70673333340 106010000010 212020000020