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1122110212201 = 114183101296797
BaseRepresentation
bin10000010101000010111…
…110110000100001101001
310222021100210022220220221
4100111002332300201221
5121341040203242301
62215253524050041
7144032636300416
oct20250276604151
93867323286827
101122110212201
113a297aa63740
12161580533921
1381a78708084
143c44bb3710d
151e2c6aeeda1
hex10542fb0869

1122110212201 has 32 divisors (see below), whose sum is σ = 1281654493056. Its totient is φ = 973490880000.

The previous prime is 1122110212193. The next prime is 1122110212211. The reversal of 1122110212201 is 1022120112211.

It is not a de Polignac number, because 1122110212201 - 23 = 1122110212193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1122110212211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3632335 + ... + 3929131.

It is an arithmetic number, because the mean of its divisors is an integer number (40051702908).

Almost surely, 21122110212201 is an apocalyptic number.

1122110212201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1122110212201 is a deficient number, since it is larger than the sum of its proper divisors (159544280855).

1122110212201 is a wasteful number, since it uses less digits than its factorization.

1122110212201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297033.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 1122110212201 its reverse (1022120112211), we get a palindrome (2144230324412).

The spelling of 1122110212201 in words is "one trillion, one hundred twenty-two billion, one hundred ten million, two hundred twelve thousand, two hundred one".

Divisors: 1 11 41 83 101 451 913 1111 3403 4141 8383 37433 45551 92213 296797 343703 3264767 3780733 12168677 24634151 29976497 133855447 270975661 329741467 1010000191 1229036377 2488049251 11110002101 13519400147 27368541761 102010019291 1122110212201