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12147100 = 2252723767
BaseRepresentation
bin101110010101…
…100110011100
3211212010200121
4232111212130
511102201400
61112204324
7205151200
oct56254634
924763617
1012147100
116947329
1240996a4
132693c44
141882b00
1510ee21a
hexb9599c

12147100 has 108 divisors (see below), whose sum is σ = 31961496. Its totient is φ = 3991680.

The previous prime is 12147067. The next prime is 12147101. The reversal of 12147100 is 174121.

It is a super-3 number, since 3×121471003 (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12147101) 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 35 ways as a sum of consecutive naturals, for example, 181267 + ... + 181333.

Almost surely, 212147100 is an apocalyptic number.

12147100 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 12147100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15980748).

12147100 is an abundant number, since it is smaller than the sum of its proper divisors (19814396).

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

12147100 is a wasteful number, since it uses less digits than its factorization.

12147100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 16.

The square root of 12147100 is about 3485.2689996613. The cubic root of 12147100 is about 229.8745377495.

The spelling of 12147100 in words is "twelve million, one hundred forty-seven thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 37 49 50 67 70 74 98 100 134 140 148 175 185 196 245 259 268 335 350 370 469 490 518 670 700 740 925 938 980 1036 1225 1295 1340 1675 1813 1850 1876 2345 2450 2479 2590 3283 3350 3626 3700 4690 4900 4958 5180 6475 6566 6700 7252 9065 9380 9916 11725 12395 12950 13132 16415 17353 18130 23450 24790 25900 32830 34706 36260 45325 46900 49580 61975 65660 69412 82075 86765 90650 121471 123950 164150 173530 181300 242942 247900 328300 347060 433825 485884 607355 867650 1214710 1735300 2429420 3036775 6073550 12147100