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10222102212210 = 23357172192471103
BaseRepresentation
bin1001010011000000010011…
…0001010110111001110010
31100012020000212201122121000
42110300010301112321302
52314434331131242320
633423545142142430
72103344136114630
oct224600461267162
940166025648530
1010222102212210
1132911952333a9
121191141421a16
13591c2b536075
14274a7679a350
1512ad78985c90
hex94c04c56e72

10222102212210 has 1152 divisors, whose sum is σ = 35702295920640. Its totient is φ = 2037127366656.

The previous prime is 10222102212209. The next prime is 10222102212211. The reversal of 10222102212210 is 1221220122201.

It is a happy number.

10222102212210 is a `hidden beast` number, since 1 + 0 + 2 + 221 + 0 + 221 + 221 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10222102212209) and next prime (10222102212211).

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

It is not an unprimeable number, because it can be changed into a prime (10222102212211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 9267544519 + ... + 9267545621.

It is an arithmetic number, because the mean of its divisors is an integer number (30991576320).

Almost surely, 210222102212210 is an apocalyptic number.

10222102212210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10222102212210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17851147960320).

10222102212210 is an abundant number, since it is smaller than the sum of its proper divisors (25480193708430).

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

10222102212210 is a wasteful number, since it uses less digits than its factorization.

10222102212210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10222102212210 its reverse (1221220122201), we get a palindrome (11443322334411).

The spelling of 10222102212210 in words is "ten trillion, two hundred twenty-two billion, one hundred two million, two hundred twelve thousand, two hundred ten".