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100030200 = 23352293569
BaseRepresentation
bin1011111011001…
…01011011111000
320222020001122020
411331211123320
5201101431300
613531554440
72323146144
oct575453370
9228201566
10100030200
1151512196
12295bba20
131795448a
14d3dc224
158bad8a0
hex5f656f8

100030200 has 96 divisors (see below), whose sum is σ = 311698800. Its totient is φ = 26536960.

The previous prime is 100030187. The next prime is 100030213. The reversal of 100030200 is 2030001.

It is an interprime number because it is at equal distance from previous prime (100030187) and next prime (100030213).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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 23 ways as a sum of consecutive naturals, for example, 175516 + ... + 176084.

Almost surely, 2100030200 is an apocalyptic number.

100030200 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 100030200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155849400).

100030200 is an abundant number, since it is smaller than the sum of its proper divisors (211668600).

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

100030200 is a wasteful number, since it uses less digits than its factorization.

100030200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881 (or 872 counting only the distinct ones).

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

The square root of 100030200 is about 10001.5098860122. The cubic root of 100030200 is about 464.2056039860.

Adding to 100030200 its reverse (2030001), we get a palindrome (102060201).

The spelling of 100030200 in words is "one hundred million, thirty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 293 300 569 586 600 879 1138 1172 1465 1707 1758 2276 2344 2845 2930 3414 3516 4395 4552 5690 5860 6828 7032 7325 8535 8790 11380 11720 13656 14225 14650 17070 17580 21975 22760 28450 29300 34140 35160 42675 43950 56900 58600 68280 85350 87900 113800 166717 170700 175800 333434 341400 500151 666868 833585 1000302 1333736 1667170 2000604 2500755 3334340 4001208 4167925 5001510 6668680 8335850 10003020 12503775 16671700 20006040 25007550 33343400 50015100 100030200