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20030100 = 22352179373
BaseRepresentation
bin100110001101…
…0001010010100
31101200122010120
41030122022110
520111430400
61553151540
7332152536
oct114321224
941618116
1020030100
1110340a02
12685b5b0
1341c403c
142935856
151b59ca0
hex131a294

20030100 has 72 divisors (see below), whose sum is σ = 58433760. Its totient is φ = 5297280.

The previous prime is 20030089. The next prime is 20030107. The reversal of 20030100 is 103002.

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 not an unprimeable number, because it can be changed into a prime (20030107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53514 + ... + 53886.

It is an arithmetic number, because the mean of its divisors is an integer number (811580).

Almost surely, 220030100 is an apocalyptic number.

20030100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is a pronic number, being equal to 4475×4476.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20030100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29216880).

20030100 is an abundant number, since it is smaller than the sum of its proper divisors (38403660).

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

20030100 is a wasteful number, since it uses less digits than its factorization.

20030100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 562 counting only the distinct ones).

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

The square root of 20030100 is about 4475.4999720702. The cubic root of 20030100 is about 271.5778666867.

Adding to 20030100 its reverse (103002), we get a palindrome (20133102).

The spelling of 20030100 in words is "twenty million, thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 179 300 358 373 537 716 746 895 1074 1119 1492 1790 1865 2148 2238 2685 3580 3730 4475 4476 5370 5595 7460 8950 9325 10740 11190 13425 17900 18650 22380 26850 27975 37300 53700 55950 66767 111900 133534 200301 267068 333835 400602 667670 801204 1001505 1335340 1669175 2003010 3338350 4006020 5007525 6676700 10015050 20030100