Search a number
-
+
21200203040 = 255199417411
BaseRepresentation
bin10011101111101000…
…010110110100100000
32000201110220220022012
4103233220112310200
5321404222444130
613423401532052
71350234516062
oct235750266440
960643826265
1021200203040
118a99a64365
124137aa4028
131ccb240653
141051869732
158412e6995
hex4efa16d20

21200203040 has 96 divisors (see below), whose sum is σ = 52784706240. Its totient is φ = 8024140800.

The previous prime is 21200203019. The next prime is 21200203049. The reversal of 21200203040 is 4030200212.

It is not an unprimeable number, because it can be changed into a prime (21200203049) 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 15 ways as a sum of consecutive naturals, for example, 2856935 + ... + 2864345.

It is an arithmetic number, because the mean of its divisors is an integer number (549840690).

Almost surely, 221200203040 is an apocalyptic number.

21200203040 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 21200203040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26392353120).

21200203040 is an abundant number, since it is smaller than the sum of its proper divisors (31584503200).

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

21200203040 is a wasteful number, since it uses less digits than its factorization.

21200203040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8386 (or 8378 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 21200203040 its reverse (4030200212), we get a palindrome (25230403252).

The spelling of 21200203040 in words is "twenty-one billion, two hundred million, two hundred three thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 304 380 608 760 941 1520 1882 3040 3764 4705 7411 7528 9410 14822 15056 17879 18820 29644 30112 35758 37055 37640 59288 71516 74110 75280 89395 118576 140809 143032 148220 150560 178790 237152 281618 286064 296440 357580 563236 572128 592880 704045 715160 1126472 1185760 1408090 1430320 2252944 2816180 2860640 4505888 5632360 6973751 11264720 13947502 22529440 27895004 34868755 55790008 69737510 111580016 132501269 139475020 223160032 265002538 278950040 530005076 557900080 662506345 1060010152 1115800160 1325012690 2120020304 2650025380 4240040608 5300050760 10600101520 21200203040