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21300210400 = 255273803609
BaseRepresentation
bin10011110101100101…
…110110101011100000
32000222110002210121111
4103311211312223200
5322110323213100
613441333233104
71352560541530
oct236545665340
960873083544
1021300210400
119040460377
124165492794
132015b875c1
141060c5d4c0
15849e9d6ba
hex4f5976ae0

21300210400 has 72 divisors (see below), whose sum is σ = 59427602640. Its totient is φ = 7302927360.

The previous prime is 21300210311. The next prime is 21300210413. The reversal of 21300210400 is 401200312.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1896205 + ... + 1907404.

It is an arithmetic number, because the mean of its divisors is an integer number (825383370).

Almost surely, 221300210400 is an apocalyptic number.

21300210400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21300210400 is an abundant number, since it is smaller than the sum of its proper divisors (38127392240).

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

21300210400 is a wasteful number, since it uses less digits than its factorization.

21300210400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3803636 (or 3803623 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 21300210400 its reverse (401200312), we get a palindrome (21701410712).

The spelling of 21300210400 in words is "twenty-one billion, three hundred million, two hundred ten thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 140 160 175 200 224 280 350 400 560 700 800 1120 1400 2800 5600 3803609 7607218 15214436 19018045 26625263 30428872 38036090 53250526 60857744 76072180 95090225 106501052 121715488 133126315 152144360 190180450 213002104 266252630 304288720 380360900 426004208 532505260 608577440 665631575 760721800 852008416 1065010520 1331263150 1521443600 2130021040 2662526300 3042887200 4260042080 5325052600 10650105200 21300210400