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21202132200 = 2335237955051
BaseRepresentation
bin10011101111101111…
…101101110011101000
32000201121112220121120
4103233233231303220
5321410221212300
613423511135240
71350260102334
oct235757556350
960647486546
1021202132200
118aa0061807
124138674520
131ccb767772
141051c0c7c4
158415783a0
hex4efbedce8

21202132200 has 96 divisors (see below), whose sum is σ = 67503075360. Its totient is φ = 5501088000.

The previous prime is 21202132177. The next prime is 21202132213. The reversal of 21202132200 is 223120212.

It is a happy number.

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 21202132200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 455326 + ... + 499725.

It is an arithmetic number, because the mean of its divisors is an integer number (703157035).

Almost surely, 221202132200 is an apocalyptic number.

21202132200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21202132200 is an abundant number, since it is smaller than the sum of its proper divisors (46300943160).

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

21202132200 is a wasteful number, since it uses less digits than its factorization.

21202132200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955107 (or 955098 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 21202132200 its reverse (223120212), we get a palindrome (21425252412).

The spelling of 21202132200 in words is "twenty-one billion, two hundred two million, one hundred thirty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 37 40 50 60 74 75 100 111 120 148 150 185 200 222 296 300 370 444 555 600 740 888 925 1110 1480 1850 2220 2775 3700 4440 5550 7400 11100 22200 955051 1910102 2865153 3820204 4775255 5730306 7640408 9550510 11460612 14325765 19101020 22921224 23876275 28651530 35336887 38202040 47752550 57303060 70673774 71628825 95505100 106010661 114606120 141347548 143257650 176684435 191010200 212021322 282695096 286515300 353368870 424042644 530053305 573030600 706737740 848085288 883422175 1060106610 1413475480 1766844350 2120213220 2650266525 3533688700 4240426440 5300533050 7067377400 10601066100 21202132200