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20021103200 = 255275936029
BaseRepresentation
bin10010101001010110…
…011100101001100000
31220200022020102101202
4102221112130221200
5312000400300300
613110401420332
71306066366160
oct225126345140
956608212352
1020021103200
11854443318a
123a6903a6a8
131b70b86237
14d7d01a5a0
157c2a38ad5
hex4a959ca60

20021103200 has 144 divisors (see below), whose sum is σ = 55962355680. Its totient is φ = 6851665920.

The previous prime is 20021103173. The next prime is 20021103239. The reversal of 20021103200 is 230112002.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3317786 + ... + 3323814.

It is an arithmetic number, because the mean of its divisors is an integer number (388627470).

Almost surely, 220021103200 is an apocalyptic number.

20021103200 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 20021103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27981177840).

20021103200 is an abundant number, since it is smaller than the sum of its proper divisors (35941252480).

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

20021103200 is a wasteful number, since it uses less digits than its factorization.

20021103200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6649 (or 6636 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 20021103200 its reverse (230112002), we get a palindrome (20251215202).

The spelling of 20021103200 in words is "twenty billion, twenty-one million, one hundred three thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 140 160 175 200 224 280 350 400 560 593 700 800 1120 1186 1400 2372 2800 2965 4151 4744 5600 5930 6029 8302 9488 11860 12058 14825 16604 18976 20755 23720 24116 29650 30145 33208 41510 42203 47440 48232 59300 60290 66416 83020 84406 94880 96464 103775 118600 120580 132832 150725 166040 168812 192928 207550 211015 237200 241160 301450 332080 337624 415100 422030 474400 482320 602900 664160 675248 830200 844060 964640 1055075 1205800 1350496 1660400 1688120 2110150 2411600 3320800 3376240 3575197 4220300 4823200 6752480 7150394 8440600 14300788 16881200 17875985 25026379 28601576 33762400 35751970 50052758 57203152 71503940 89379925 100105516 114406304 125131895 143007880 178759850 200211032 250263790 286015760 357519700 400422064 500527580 572031520 625659475 715039400 800844128 1001055160 1251318950 1430078800 2002110320 2502637900 2860157600 4004220640 5005275800 10010551600 20021103200