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12100056 = 2331747631
BaseRepresentation
bin101110001010…
…000111011000
3211202202011020
4232022013120
511044200211
61111202440
7204564063
oct56120730
924682136
1012100056
116914a51
124076420
1326786c7
14186d8da
1510e0306
hexb8a1d8

12100056 has 64 divisors (see below), whose sum is σ = 32762880. Its totient is φ = 3709440.

The previous prime is 12100003. The next prime is 12100057. The reversal of 12100056 is 65000121.

It is a super-2 number, since 2×121000562 = 292822710406272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12100057) 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 15 ways as a sum of consecutive naturals, for example, 18861 + ... + 19491.

It is an arithmetic number, because the mean of its divisors is an integer number (511920).

Almost surely, 212100056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12100056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16381440).

12100056 is an abundant number, since it is smaller than the sum of its proper divisors (20662824).

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

12100056 is a wasteful number, since it uses less digits than its factorization.

12100056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 12100056 is about 3478.5134756099. The cubic root of 12100056 is about 229.5773966344.

Adding to 12100056 its reverse (65000121), we get a palindrome (77100177).

The spelling of 12100056 in words is "twelve million, one hundred thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 17 24 34 47 51 68 94 102 136 141 188 204 282 376 408 564 631 799 1128 1262 1598 1893 2397 2524 3196 3786 4794 5048 6392 7572 9588 10727 15144 19176 21454 29657 32181 42908 59314 64362 85816 88971 118628 128724 177942 237256 257448 355884 504169 711768 1008338 1512507 2016676 3025014 4033352 6050028 12100056