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123130300212 = 223217201193301
BaseRepresentation
bin111001010101100100…
…0110100011100110100
3102202211011101100010100
41302223020310130310
54004132324101322
6132322033354100
711616166166043
oct1625310643464
9382734340110
10123130300212
1148245931a97
121ba44108930
13b7c3890c0a
145d60d8a55a
153309bd6dac
hex1cab234734

123130300212 has 36 divisors (see below), whose sum is σ = 329554628676. Its totient is φ = 38629113600.

The previous prime is 123130300207. The next prime is 123130300213. The reversal of 123130300212 is 212003031321.

123130300212 is a `hidden beast` number, since 1 + 23 + 130 + 300 + 212 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 85079555856 + 38050744356 = 291684^2 + 195066^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1231303002122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123130300213) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100596039 + ... + 100597262.

It is an arithmetic number, because the mean of its divisors is an integer number (9154295241).

Almost surely, 2123130300212 is an apocalyptic number.

123130300212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123130300212 is an abundant number, since it is smaller than the sum of its proper divisors (206424328464).

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

123130300212 is a wasteful number, since it uses less digits than its factorization.

123130300212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201193328 (or 201193323 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 123130300212 its reverse (212003031321), we get a palindrome (335133331533).

The spelling of 123130300212 in words is "one hundred twenty-three billion, one hundred thirty million, three hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 201193301 402386602 603579903 804773204 1207159806 1810739709 2414319612 3420286117 3621479418 6840572234 7242958836 10260858351 13681144468 20521716702 30782575053 41043433404 61565150106 123130300212