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10222022021211 = 34711135914914341
BaseRepresentation
bin1001010010111111111111…
…1111011101000001011011
31100012012211021211112020000
42110233333333131001123
52314434200114134321
633423533155304043
72103342143364630
oct224577777350133
940165737745200
1010222022021211
113291153a41750
12119111a5ab023
13591c17a39a80
14274a69c84187
1512ad718e5826
hex94bfffdd05b

10222022021211 has 320 divisors, whose sum is σ = 20991180672000. Its totient is φ = 4785916492800.

The previous prime is 10222022021191. The next prime is 10222022021269. The reversal of 10222022021211 is 11212022022201.

It is a happy number.

10222022021211 is a `hidden beast` number, since 1 + 0 + 2 + 220 + 220 + 212 + 11 = 666.

It is not a de Polignac number, because 10222022021211 - 27 = 10222022021083 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10222022021291) by changing a digit.

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 319 ways as a sum of consecutive naturals, for example, 712775901 + ... + 712790241.

It is an arithmetic number, because the mean of its divisors is an integer number (65597439600).

Almost surely, 210222022021211 is an apocalyptic number.

10222022021211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10222022021211 is an abundant number, since it is smaller than the sum of its proper divisors (10769158650789).

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

10222022021211 is a wasteful number, since it uses less digits than its factorization.

10222022021211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14592 (or 14583 counting only the distinct ones).

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

Adding to 10222022021211 its reverse (11212022022201), we get a palindrome (21434044043412).

The spelling of 10222022021211 in words is "ten trillion, two hundred twenty-two billion, twenty-two million, twenty-one thousand, two hundred eleven".