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10221101122200 = 2335217035168537
BaseRepresentation
bin1001010010111100100100…
…0110100000001010011000
31100012010110010000000021020
42110233021012200022120
52314430303341402300
633423301541242440
72103310262024103
oct224571106401230
940163403000236
1010221101122200
113290821135691
121190b02103420
13591acc006a07
142749bd84773a
1512ad1ab3b8a0
hex94bc91a0298

10221101122200 has 48 divisors (see below), whose sum is σ = 31685413480680. Its totient is φ = 2725626965760.

The previous prime is 10221101122187. The next prime is 10221101122201. The reversal of 10221101122200 is 222110112201.

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 10221101122200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221101122201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8517583669 + ... + 8517584868.

Almost surely, 210221101122200 is an apocalyptic number.

10221101122200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221101122200 is an abundant number, since it is smaller than the sum of its proper divisors (21464312358480).

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

10221101122200 is a wasteful number, since it uses less digits than its factorization.

10221101122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17035168556 (or 17035168547 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10221101122200 its reverse (222110112201), we get a palindrome (10443211234401).

The spelling of 10221101122200 in words is "ten trillion, two hundred twenty-one billion, one hundred one 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 75 100 120 150 200 300 600 17035168537 34070337074 51105505611 68140674148 85175842685 102211011222 136281348296 170351685370 204422022444 255527528055 340703370740 408844044888 425879213425 511055056110 681406741480 851758426850 1022110112220 1277637640275 1703516853700 2044220224440 2555275280550 3407033707400 5110550561100 10221101122200