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213102021 = 311171013761
BaseRepresentation
bin11001011001110…
…10110111000101
3112211222201000110
430230322313011
5414023231041
633051303233
75165223456
oct1454726705
9484881013
10213102021
11aa321780
125b44ab19
13351c3a92
142043312d
1513a96516
hexcb3adc5

213102021 has 32 divisors (see below), whose sum is σ = 331537536. Its totient is φ = 120320000.

The previous prime is 213102013. The next prime is 213102047. The reversal of 213102021 is 120201312.

It is a cyclic number.

It is not a de Polignac number, because 213102021 - 23 = 213102013 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 213101988 and 213102006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213102821) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54781 + ... + 58541.

It is an arithmetic number, because the mean of its divisors is an integer number (10360548).

Almost surely, 2213102021 is an apocalyptic number.

It is an amenable number.

213102021 is a deficient number, since it is larger than the sum of its proper divisors (118435515).

213102021 is a wasteful number, since it uses less digits than its factorization.

213102021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3893.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 213102021 is about 14598.0142827715. The cubic root of 213102021 is about 597.3045955681.

Adding to 213102021 its reverse (120201312), we get a palindrome (333303333).

The spelling of 213102021 in words is "two hundred thirteen million, one hundred two thousand, twenty-one".

Divisors: 1 3 11 17 33 51 101 187 303 561 1111 1717 3333 3761 5151 11283 18887 41371 56661 63937 124113 191811 379861 703307 1139583 2109921 4178471 6457637 12535413 19372911 71034007 213102021