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10211221122111 = 332119971797779
BaseRepresentation
bin1001010010010111110000…
…1101010010110000111111
31100011011221120001000002000
42110211330031102300333
52314300040101401421
633414545322433343
72102510402303112
oct224457415226077
940134846030060
1010211221122111
113287611132359
12118b005362853
13590bb6143409
14274323600579
1512a93d584226
hex9497c352c3f

10211221122111 has 32 divisors (see below), whose sum is σ = 15214684051200. Its totient is φ = 6768418436640.

The previous prime is 10211221122107. The next prime is 10211221122143. The reversal of 10211221122111 is 11122112211201.

It is a happy number.

10211221122111 is a `hidden beast` number, since 1 + 0 + 211 + 221 + 1 + 221 + 11 = 666.

It is not a de Polignac number, because 10211221122111 - 22 = 10211221122107 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211221122611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4781020 + ... + 6578798.

It is an arithmetic number, because the mean of its divisors is an integer number (475458876600).

Almost surely, 210211221122111 is an apocalyptic number.

10211221122111 is a deficient number, since it is larger than the sum of its proper divisors (5003462929089).

10211221122111 is a wasteful number, since it uses less digits than its factorization.

10211221122111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1798996 (or 1798990 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 10211221122111 its reverse (11122112211201), we get a palindrome (21333333333312).

The spelling of 10211221122111 in words is "ten trillion, two hundred eleven billion, two hundred twenty-one million, one hundred twenty-two thousand, one hundred eleven".

Divisors: 1 3 9 27 211 633 997 1899 2991 5697 8973 26919 210367 631101 1797779 1893303 5393337 5679909 16180011 48540033 379331369 1137994107 1792385663 3413982321 5377156989 10241946963 16131470967 48394412901 378193374893 1134580124679 3403740374037 10211221122111