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109250100 = 22335243941
BaseRepresentation
bin1101000001100…
…00011000110100
321121120110222000
412200300120310
5210432000400
614501335300
72464416261
oct640603064
9247513860
10109250100
115673a243
1230707530
1319831c3b
141071c268
1598d0600
hex6830634

109250100 has 144 divisors (see below), whose sum is σ = 359768640. Its totient is φ = 28425600.

The previous prime is 109250087. The next prime is 109250101. The reversal of 109250100 is 1052901.

109250100 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

109250100 is strictly pandigital in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109250101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115630 + ... + 116570.

Almost surely, 2109250100 is an apocalyptic number.

109250100 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 109250100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179884320).

109250100 is an abundant number, since it is smaller than the sum of its proper divisors (250518540).

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

109250100 is a wasteful number, since it uses less digits than its factorization.

109250100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 109250100 is about 10452.2772638311. The cubic root of 109250100 is about 478.0506881817.

The spelling of 109250100 in words is "one hundred nine million, two hundred fifty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 43 45 50 54 60 75 86 90 100 108 129 135 150 172 180 215 225 258 270 300 387 430 450 516 540 645 675 774 860 900 941 1075 1161 1290 1350 1548 1882 1935 2150 2322 2580 2700 2823 3225 3764 3870 4300 4644 4705 5646 5805 6450 7740 8469 9410 9675 11292 11610 12900 14115 16938 18820 19350 23220 23525 25407 28230 29025 33876 38700 40463 42345 47050 50814 56460 58050 70575 80926 84690 94100 101628 116100 121389 127035 141150 161852 169380 202315 211725 242778 254070 282300 364167 404630 423450 485556 508140 606945 635175 728334 809260 846900 1011575 1092501 1213890 1270350 1456668 1820835 2023150 2185002 2427780 2540700 3034725 3641670 4046300 4370004 5462505 6069450 7283340 9104175 10925010 12138900 18208350 21850020 27312525 36416700 54625050 109250100