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22121011011 = 31110116973911
BaseRepresentation
bin10100100110100000…
…111101011101000011
32010002122120210101010
4110212200331131003
5330300434323021
614055014012003
71412115330321
oct244640753503
963078523333
1022121011011
119421808a90
124354347003
132116c41138
1410dbc80d11
15897083976
hex52683d743

22121011011 has 32 divisors (see below), whose sum is σ = 32522052096. Its totient is φ = 13262720000.

The previous prime is 22121011009. The next prime is 22121011013. The reversal of 22121011011 is 11011012122.

It is an interprime number because it is at equal distance from previous prime (22121011009) and next prime (22121011013).

It is a cyclic number.

It is not a de Polignac number, because 22121011011 - 21 = 22121011009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22121011013) 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, 5654146 + ... + 5658056.

It is an arithmetic number, because the mean of its divisors is an integer number (1016314128).

Almost surely, 222121011011 is an apocalyptic number.

22121011011 is a deficient number, since it is larger than the sum of its proper divisors (10401041085).

22121011011 is a wasteful number, since it uses less digits than its factorization.

22121011011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5723.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 22121011011 its reverse (11011012122), we get a palindrome (33132023133).

It can be divided in two parts, 221210 and 11011, that added together give a triangular number (232221 = T681).

The spelling of 22121011011 in words is "twenty-two billion, one hundred twenty-one million, eleven thousand, eleven".

Divisors: 1 3 11 33 101 303 1111 1697 3333 3911 5091 11733 18667 43021 56001 129063 171397 395011 514191 1185033 1885367 4345121 5656101 6636967 13035363 19910901 73006637 219019911 670333667 2011001001 7373670337 22121011011