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100032030 = 2335727561
BaseRepresentation
bin1011111011001…
…01111000011110
320222020011011000
411331211320132
5201102011110
613532011130
72323154400
oct575457036
9228204130
10100032030
11515135aa
1229600aa6
1317955267
14d3dcb70
158bae1c0
hex5f65e1e

100032030 has 96 divisors (see below), whose sum is σ = 310344480. Its totient is φ = 22861440.

The previous prime is 100032019. The next prime is 100032059. The reversal of 100032030 is 30230001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9450 + ... + 17010.

It is an arithmetic number, because the mean of its divisors is an integer number (3232755).

Almost surely, 2100032030 is an apocalyptic number.

100032030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100032030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155172240).

100032030 is an abundant number, since it is smaller than the sum of its proper divisors (210312450).

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

100032030 is a wasteful number, since it uses less digits than its factorization.

100032030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7591 (or 7578 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 100032030 is about 10001.6013717804. The cubic root of 100032030 is about 464.2084347680.

Adding to 100032030 its reverse (30230001), we get a palindrome (130262031).

The spelling of 100032030 in words is "one hundred million, thirty-two thousand, thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 49 54 63 70 90 98 105 126 135 147 189 210 245 270 294 315 378 441 490 630 735 882 945 1323 1470 1890 2205 2646 4410 6615 7561 13230 15122 22683 37805 45366 52927 68049 75610 105854 113415 136098 158781 204147 226830 264635 317562 340245 370489 408294 476343 529270 680490 740978 793905 952686 1020735 1111467 1429029 1587810 1852445 2041470 2222934 2381715 2858058 3334401 3704890 4763430 5557335 6668802 7145145 10003203 11114670 14290290 16672005 20006406 33344010 50016015 100032030