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21200122200 = 23352101349837
BaseRepresentation
bin10011101111101000…
…000011000101011000
32000201110202210102010
4103233220003011120
5321404212402300
613423400105520
71350234031305
oct235750030530
960643683363
1021200122200
118a99a09654
124137a652a0
131ccb21290a
1410518480ac
158412cca50
hex4efa03158

21200122200 has 96 divisors (see below), whose sum is σ = 66371265360. Its totient is φ = 5597376000.

The previous prime is 21200122199. The next prime is 21200122201. The reversal of 21200122200 is 222100212.

It is an interprime number because it is at equal distance from previous prime (21200122199) and next prime (21200122201).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21200122201) 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, 114319 + ... + 235518.

Almost surely, 221200122200 is an apocalyptic number.

21200122200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21200122200 is an abundant number, since it is smaller than the sum of its proper divisors (45171143160).

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

21200122200 is a wasteful number, since it uses less digits than its factorization.

21200122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349957 (or 349948 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 21200122200 its reverse (222100212), we get a palindrome (21422222412).

It can be divided in two parts, 2120012 and 2200, that added together give a palindrome (2122212).

The spelling of 21200122200 in words is "twenty-one billion, two hundred million, one hundred twenty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 101 120 150 200 202 300 303 404 505 600 606 808 1010 1212 1515 2020 2424 2525 3030 4040 5050 6060 7575 10100 12120 15150 20200 30300 60600 349837 699674 1049511 1399348 1749185 2099022 2798696 3498370 4198044 5247555 6996740 8396088 8745925 10495110 13993480 17491850 20990220 26237775 34983700 35333537 41980440 52475550 69967400 70667074 104951100 106000611 141334148 176667685 209902200 212001222 282668296 353335370 424002444 530003055 706670740 848004888 883338425 1060006110 1413341480 1766676850 2120012220 2650015275 3533353700 4240024440 5300030550 7066707400 10600061100 21200122200