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12100413 = 3131718251
BaseRepresentation
bin101110001010…
…001100111101
3211202202122110
4232022030331
511044203123
61111204233
7204565113
oct56121475
924682573
1012100413
116915246
124076679
132678910
14186dab3
1510e0493
hexb8a33d

12100413 has 16 divisors (see below), whose sum is σ = 18398016. Its totient is φ = 7008000.

The previous prime is 12100411. The next prime is 12100441. The reversal of 12100413 is 31400121.

It is a happy number.

It is not a de Polignac number, because 12100413 - 21 = 12100411 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12100411) 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 15 ways as a sum of consecutive naturals, for example, 8463 + ... + 9788.

It is an arithmetic number, because the mean of its divisors is an integer number (1149876).

Almost surely, 212100413 is an apocalyptic number.

12100413 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12100413 is a deficient number, since it is larger than the sum of its proper divisors (6297603).

12100413 is a wasteful number, since it uses less digits than its factorization.

12100413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18284.

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

The square root of 12100413 is about 3478.5647902547. The cubic root of 12100413 is about 229.5796544291.

Adding to 12100413 its reverse (31400121), we get a palindrome (43500534).

The spelling of 12100413 in words is "twelve million, one hundred thousand, four hundred thirteen".

Divisors: 1 3 13 17 39 51 221 663 18251 54753 237263 310267 711789 930801 4033471 12100413