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212513121 = 32142716547
BaseRepresentation
bin11001010101010…
…11000101100001
3112210212210012100
430222223011201
5413400404441
633030521013
75160221532
oct1452530541
9483783170
10212513121
11a9a5a287
125b206169
1335048a12
142031c689
15139cbcb6
hexcaab161

212513121 has 12 divisors (see below), whose sum is σ = 307197072. Its totient is φ = 141567576.

The previous prime is 212513101. The next prime is 212513143. The reversal of 212513121 is 121315212.

It is not a de Polignac number, because 212513121 - 211 = 212511073 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212513094 and 212513103.

It is not an unprimeable number, because it can be changed into a prime (212513101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4570 + ... + 21116.

It is an arithmetic number, because the mean of its divisors is an integer number (25599756).

Almost surely, 2212513121 is an apocalyptic number.

It is an amenable number.

212513121 is a deficient number, since it is larger than the sum of its proper divisors (94683951).

212513121 is a wasteful number, since it uses less digits than its factorization.

212513121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17980 (or 17977 counting only the distinct ones).

The product of its digits is 120, while the sum is 18.

The square root of 212513121 is about 14577.8297767535. The cubic root of 212513121 is about 596.7538778230.

Adding to 212513121 its reverse (121315212), we get a palindrome (333828333).

The spelling of 212513121 in words is "two hundred twelve million, five hundred thirteen thousand, one hundred twenty-one".

Divisors: 1 3 9 1427 4281 12843 16547 49641 148923 23612569 70837707 212513121