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12098100 = 2235272823
BaseRepresentation
bin101110001001…
…101000110100
3211202122110210
4232021220310
511044114400
61111145420
7204555300
oct56115064
924678423
1012098100
116913533
124075270
132677851
14186cd00
1510de950
hexb89a34

12098100 has 108 divisors (see below), whose sum is σ = 40768224. Its totient is φ = 2761920.

The previous prime is 12098087. The next prime is 12098111. The reversal of 12098100 is 189021.

It is a super-2 number, since 2×120981002 = 292728047220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 14289 + ... + 15111.

Almost surely, 212098100 is an apocalyptic number.

12098100 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 12098100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20384112).

12098100 is an abundant number, since it is smaller than the sum of its proper divisors (28670124).

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

12098100 is a wasteful number, since it uses less digits than its factorization.

12098100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The square root of 12098100 is about 3478.2323096654. The cubic root of 12098100 is about 229.5650254083.

The spelling of 12098100 in words is "twelve million, ninety-eight thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 49 50 60 70 75 84 98 100 105 140 147 150 175 196 210 245 294 300 350 420 490 525 588 700 735 823 980 1050 1225 1470 1646 2100 2450 2469 2940 3292 3675 4115 4900 4938 5761 7350 8230 9876 11522 12345 14700 16460 17283 20575 23044 24690 28805 34566 40327 41150 49380 57610 61725 69132 80654 82300 86415 115220 120981 123450 144025 161308 172830 201635 241962 246900 288050 345660 403270 432075 483924 576100 604905 806540 864150 1008175 1209810 1728300 2016350 2419620 3024525 4032700 6049050 12098100