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100120300 = 22527281509
BaseRepresentation
bin1011111011110…
…11011011101100
320222101122020021
411331323123230
5201112322200
613533531524
72324002630
oct575733354
9228348207
10100120300
1151573955
1229643ba4
13179864a7
14d422dc0
158bca41a
hex5f7b6ec

100120300 has 72 divisors (see below), whose sum is σ = 249671520. Its totient is φ = 34137600.

The previous prime is 100120289. The next prime is 100120343. The reversal of 100120300 is 3021001.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 196446 + ... + 196954.

It is an arithmetic number, because the mean of its divisors is an integer number (3467660).

Almost surely, 2100120300 is an apocalyptic number.

100120300 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 100120300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124835760).

100120300 is an abundant number, since it is smaller than the sum of its proper divisors (149551220).

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

100120300 is a wasteful number, since it uses less digits than its factorization.

100120300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 100120300 is about 10006.0131920761. The cubic root of 100120300 is about 464.3449364861.

Adding to 100120300 its reverse (3021001), we get a palindrome (103141301).

The spelling of 100120300 in words is "one hundred million, one hundred twenty thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 281 350 509 562 700 1018 1124 1405 1967 2036 2545 2810 3563 3934 5090 5620 7025 7126 7868 9835 10180 12725 14050 14252 17815 19670 25450 28100 35630 39340 49175 50900 71260 89075 98350 143029 178150 196700 286058 356300 572116 715145 1001203 1430290 2002406 2860580 3575725 4004812 5006015 7151450 10012030 14302900 20024060 25030075 50060150 100120300