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12240100 = 2252122401
BaseRepresentation
bin101110101100…
…010011100100
3212000212021001
4232230103210
511113140400
61114203044
7206016265
oct56542344
925025231
1012240100
116a00194
124123484
1326c7382
1418a896c
15111ba6a
hexbac4e4

12240100 has 18 divisors (see below), whose sum is σ = 26561234. Its totient is φ = 4896000.

The previous prime is 12240091. The next prime is 12240121. The reversal of 12240100 is 104221.

12240100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 4096 + 12236004 = 64^2 + 3498^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 61101 + ... + 61300.

Almost surely, 212240100 is an apocalyptic number.

12240100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12240100 is an abundant number, since it is smaller than the sum of its proper divisors (14321134).

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

12240100 is a wasteful number, since it uses less digits than its factorization.

12240100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122415 (or 122408 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 12240100 is about 3498.5854284268. The cubic root of 12240100 is about 230.4596981124.

Adding to 12240100 its reverse (104221), we get a palindrome (12344321).

It can be divided in two parts, 12 and 240100, that multiplied together give a triangular number (2881200 = T2400).

The spelling of 12240100 in words is "twelve million, two hundred forty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 122401 244802 489604 612005 1224010 2448020 3060025 6120050 12240100