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12100257 = 3213103421
BaseRepresentation
bin101110001010…
…001010100001
3211202202102200
4232022022201
511044202012
61111203413
7204564501
oct56121241
924682380
1012100257
116915114
124076569
132678820
14186da01
1510e03dc
hexb8a2a1

12100257 has 12 divisors (see below), whose sum is σ = 18822804. Its totient is φ = 7446240.

The previous prime is 12100247. The next prime is 12100259. The reversal of 12100257 is 75200121.

It can be written as a sum of positive squares in 2 ways, for example, as 3154176 + 8946081 = 1776^2 + 2991^2 .

It is not a de Polignac number, because 12100257 - 210 = 12099233 is a prime.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (12100259) 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, 51594 + ... + 51827.

It is an arithmetic number, because the mean of its divisors is an integer number (1568567).

Almost surely, 212100257 is an apocalyptic number.

It is an amenable number.

12100257 is a deficient number, since it is larger than the sum of its proper divisors (6722547).

12100257 is a wasteful number, since it uses less digits than its factorization.

12100257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103440 (or 103437 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 12100257 is about 3478.5423671417. The cubic root of 12100257 is about 229.5786678352.

Adding to 12100257 its reverse (75200121), we get a palindrome (87300378).

The spelling of 12100257 in words is "twelve million, one hundred thousand, two hundred fifty-seven".

Divisors: 1 3 9 13 39 117 103421 310263 930789 1344473 4033419 12100257