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212013102 = 237414717
BaseRepresentation
bin11001010001100…
…01000000101110
3112202221101022010
430220301000232
5413233404402
633012102050
75153040000
oct1450610056
9482841263
10212013102
11a9748644
125b004926
1334c02252
142022c370
151392da6c
hexca3102e

212013102 has 40 divisors (see below), whose sum is σ = 494701416. Its totient is φ = 60571056.

The previous prime is 212013101. The next prime is 212013107. The reversal of 212013102 is 201310212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212013101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7048 + ... + 21764.

Almost surely, 2212013102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212013102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247350708).

212013102 is an abundant number, since it is smaller than the sum of its proper divisors (282688314).

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

212013102 is an equidigital number, since it uses as much as digits as its factorization.

212013102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14750 (or 14729 counting only the distinct ones).

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

The square root of 212013102 is about 14560.6696961369. The cubic root of 212013102 is about 596.2854791242.

Adding to 212013102 its reverse (201310212), we get a palindrome (413323314).

The spelling of 212013102 in words is "two hundred twelve million, thirteen thousand, one hundred two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 343 686 1029 2058 2401 4802 7203 14406 14717 29434 44151 88302 103019 206038 309057 618114 721133 1442266 2163399 4326798 5047931 10095862 15143793 30287586 35335517 70671034 106006551 212013102