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10222022120220 = 223351912292711597
BaseRepresentation
bin1001010010111111111111…
…1111110101001100011100
31100012012211022000120001000
42110233333333311030130
52314434200130321340
633423533201350300
72103342144256401
oct224577777651434
940165738016030
1010222022120220
113291153aaa079
12119111a638390
13591c17a72b61
14274a69cac2a8
1512ad71914d30
hex94bffff531c

10222022120220 has 384 divisors, whose sum is σ = 32246607052800. Its totient is φ = 2688113433600.

The previous prime is 10222022120143. The next prime is 10222022120267. The reversal of 10222022120220 is 2202122022201.

10222022120220 is a `hidden beast` number, since 1 + 0 + 2 + 220 + 221 + 2 + 0 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10222022120193 and 10222022120202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6400764462 + ... + 6400766058.

It is an arithmetic number, because the mean of its divisors is an integer number (83975539200).

Almost surely, 210222022120220 is an apocalyptic number.

10222022120220 is a gapful number since it is divisible by the number (10) 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 10222022120220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16123303526400).

10222022120220 is an abundant number, since it is smaller than the sum of its proper divisors (22024584932580).

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

10222022120220 is a wasteful number, since it uses less digits than its factorization.

10222022120220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2306 (or 2298 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 10222022120220 its reverse (2202122022201), we get a palindrome (12424144142421).

The spelling of 10222022120220 in words is "ten trillion, two hundred twenty-two billion, twenty-two million, one hundred twenty thousand, two hundred twenty".