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20034010200 = 23352172319379
BaseRepresentation
bin10010101010000111…
…101011110001011000
31220201012112011110210
4102222013223301120
5312012201311300
613111542211120
71306314164001
oct225207536130
956635464423
1020034010200
118550749426
123a71423aa0
131b73755009
14d80a1a1a8
157c3c38050
hex4aa1ebc58

20034010200 has 96 divisors (see below), whose sum is σ = 62144683200. Its totient is φ = 5339026560.

The previous prime is 20034010189. The next prime is 20034010201. The reversal of 20034010200 is 201043002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20034010201) by changing a digit.

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, 1024111 + ... + 1043489.

It is an arithmetic number, because the mean of its divisors is an integer number (647340450).

Almost surely, 220034010200 is an apocalyptic number.

20034010200 is a gapful number since it is divisible by the number (20) 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 20034010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31072341600).

20034010200 is an abundant number, since it is smaller than the sum of its proper divisors (42110673000).

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

20034010200 is a wasteful number, since it uses less digits than its factorization.

20034010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21121 (or 21112 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 20034010200 its reverse (201043002), we get a palindrome (20235053202).

The spelling of 20034010200 in words is "twenty billion, thirty-four million, ten thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 1723 3446 5169 6892 8615 10338 13784 17230 19379 20676 25845 34460 38758 41352 43075 51690 58137 68920 77516 86150 96895 103380 116274 129225 155032 172300 193790 206760 232548 258450 290685 344600 387580 465096 484475 516900 581370 775160 968950 1033800 1162740 1453425 1937900 2325480 2906850 3875800 5813700 11627400 33390017 66780034 100170051 133560068 166950085 200340102 267120136 333900170 400680204 500850255 667800340 801360408 834750425 1001700510 1335600680 1669500850 2003401020 2504251275 3339001700 4006802040 5008502550 6678003400 10017005100 20034010200