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12145100 = 22521161181
BaseRepresentation
bin101110010101…
…000111001100
3211212000221112
4232111013030
511102120400
61112151152
7205142312
oct56250714
924760845
1012145100
116945880
1240984b8
132693066
1418820b2
1510ed835
hexb951cc

12145100 has 72 divisors (see below), whose sum is σ = 29383536. Its totient is φ = 4320000.

The previous prime is 12145099. The next prime is 12145103. The reversal of 12145100 is 154121.

12145100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12145103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67010 + ... + 67190.

Almost surely, 212145100 is an apocalyptic number.

12145100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12145100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14691768).

12145100 is an abundant number, since it is smaller than the sum of its proper divisors (17238436).

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

12145100 is a wasteful number, since it uses less digits than its factorization.

12145100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 12145100 is about 3484.9820659510. The cubic root of 12145100 is about 229.8619209024.

Adding to 12145100 its reverse (154121), we get a palindrome (12299221).

The spelling of 12145100 in words is "twelve million, one hundred forty-five thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 61 100 110 122 181 220 244 275 305 362 550 610 671 724 905 1100 1220 1342 1525 1810 1991 2684 3050 3355 3620 3982 4525 6100 6710 7964 9050 9955 11041 13420 16775 18100 19910 22082 33550 39820 44164 49775 55205 67100 99550 110410 121451 199100 220820 242902 276025 485804 552050 607255 1104100 1214510 2429020 3036275 6072550 12145100