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21201001200 = 2432525889167
BaseRepresentation
bin10011101111101011…
…011001101011110000
32000201112102110011200
4103233223121223300
5321404424014300
613423431011200
71350244352061
oct235753315360
960645373150
1021201001200
118a9a459aa5
124138209b00
131ccb45ca32
1410519d6568
15841403200
hex4efad9af0

21201001200 has 90 divisors (see below), whose sum is σ = 73573375824. Its totient is φ = 5653599360.

The previous prime is 21201001193. The next prime is 21201001207. The reversal of 21201001200 is 210010212.

It is an interprime number because it is at equal distance from previous prime (21201001193) and next prime (21201001207).

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21201001207) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2940984 + ... + 2948183.

Almost surely, 221201001200 is an apocalyptic number.

21201001200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21201001200 is an abundant number, since it is smaller than the sum of its proper divisors (52372374624).

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

21201001200 is a wasteful number, since it uses less digits than its factorization.

21201001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5889191 (or 5889177 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 21201001200 its reverse (210010212), we get a palindrome (21411011412).

The spelling of 21201001200 in words is "twenty-one billion, two hundred one million, one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 144 150 180 200 225 240 300 360 400 450 600 720 900 1200 1800 3600 5889167 11778334 17667501 23556668 29445835 35335002 47113336 53002503 58891670 70670004 88337505 94226672 106005006 117783340 141340008 147229175 176675010 212010012 235566680 265012515 282680016 294458350 353350020 424020024 441687525 471133360 530025030 588916700 706700040 848040048 883375050 1060050060 1177833400 1325062575 1413400080 1766750100 2120100120 2355666800 2650125150 3533500200 4240200240 5300250300 7067000400 10600500600 21201001200