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10222022012200 = 235251110110061
BaseRepresentation
bin1001010010111111111111…
…1111011010110100101000
31100012012211021211001212021
42110233333333122310220
52314434200113342300
633423533155154224
72103342143326435
oct224577777326450
940165737731767
1010222022012200
113291153a359a9
12119111a5a5974
13591c17a3593b
14274a69c80b8c
1512ad718e2d1a
hex94bfffdad28

10222022012200 has 24 divisors (see below), whose sum is σ = 23766201178830. Its totient is φ = 4088808804800.

The previous prime is 10222022012159. The next prime is 10222022012201. The reversal of 10222022012200 is 221022022201.

It can be written as a sum of positive squares in 3 ways, for example, as 7915748488036 + 2306273524164 = 2813494^2 + 1518642^2 .

It is not an unprimeable number, because it can be changed into a prime (10222022012201) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25555054831 + ... + 25555055230.

Almost surely, 210222022012200 is an apocalyptic number.

10222022012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10222022012200 is an abundant number, since it is smaller than the sum of its proper divisors (13544179166630).

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

10222022012200 is a wasteful number, since it uses less digits than its factorization.

10222022012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51110110077 (or 51110110068 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 10222022012200 its reverse (221022022201), we get a palindrome (10443044034401).

The spelling of 10222022012200 in words is "ten trillion, two hundred twenty-two billion, twenty-two million, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 51110110061 102220220122 204440440244 255550550305 408880880488 511101100610 1022202201220 1277752751525 2044404402440 2555505503050 5111011006100 10222022012200