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212110022120 = 2355497396461
BaseRepresentation
bin1100010110001010111…
…1100001010111101000
3202021111022102112211012
43011202233201113220
511433400131201440
6241235245523052
721216166303643
oct3054257412750
9667438375735
10212110022120
1181a5663a047
1235137273488
13170041c6139
14a3a257ca5a
1557b66c8e65
hex3162be15e8

212110022120 has 32 divisors (see below), whose sum is σ = 477261178920. Its totient is φ = 84841585920.

The previous prime is 212110022107. The next prime is 212110022161. The reversal of 212110022120 is 21220011212.

212110022120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 205990715044 + 6119307076 = 453862^2 + 78226^2 .

It is a super-2 number, since 2×2121100221202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212110022095 and 212110022104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2150690 + ... + 2247150.

Almost surely, 2212110022120 is an apocalyptic number.

212110022120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212110022120 is an abundant number, since it is smaller than the sum of its proper divisors (265151156800).

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

212110022120 is a wasteful number, since it uses less digits than its factorization.

212110022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151445 (or 151441 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 212110022120 its reverse (21220011212), we get a palindrome (233330033332).

The spelling of 212110022120 in words is "two hundred twelve billion, one hundred ten million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 54973 96461 109946 192922 219892 274865 385844 439784 482305 549730 771688 964610 1099460 1929220 2198920 3858440 5302750553 10605501106 21211002212 26513752765 42422004424 53027505530 106055011060 212110022120