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21301213200 = 24352173102607
BaseRepresentation
bin10011110101101001…
…101011100000010000
32000222111222202012020
4103311221223200100
5322111102310300
613441410531440
71352602216251
oct236551534020
960874882166
1021301213200
119040a85833
124165896b80
132016148b87
141061040b28
1584a0ea8a0
hex4f5a6b810

21301213200 has 120 divisors (see below), whose sum is σ = 68629976448. Its totient is φ = 5647434240.

The previous prime is 21301213183. The next prime is 21301213207. The reversal of 21301213200 is 231210312.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21301213200.

It is not an unprimeable number, because it can be changed into a prime (21301213207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 156297 + ... + 258903.

Almost surely, 221301213200 is an apocalyptic number.

21301213200 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 21301213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34314988224).

21301213200 is an abundant number, since it is smaller than the sum of its proper divisors (47328763248).

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

21301213200 is a wasteful number, since it uses less digits than its factorization.

21301213200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102801 (or 102790 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 21301213200 its reverse (231210312), we get a palindrome (21532423512).

The spelling of 21301213200 in words is "twenty-one billion, three hundred one million, two hundred thirteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 173 200 240 300 346 400 519 600 692 865 1038 1200 1384 1730 2076 2595 2768 3460 4152 4325 5190 6920 8304 8650 10380 12975 13840 17300 20760 25950 34600 41520 51900 69200 102607 103800 205214 207600 307821 410428 513035 615642 820856 1026070 1231284 1539105 1641712 2052140 2462568 2565175 3078210 4104280 4925136 5130350 6156420 7695525 8208560 10260700 12312840 15391050 17751011 20521400 24625680 30782100 35502022 41042800 53253033 61564200 71004044 88755055 106506066 123128400 142008088 177510110 213012132 266265165 284016176 355020220 426024264 443775275 532530330 710040440 852048528 887550550 1065060660 1331325825 1420080880 1775101100 2130121320 2662651650 3550202200 4260242640 5325303300 7100404400 10650606600 21301213200