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2011009122 = 232314383813
BaseRepresentation
bin111011111011101…
…1001000001100010
312012011001211220100
41313313121001202
513104304242442
6531314523230
7100556203233
oct16767310142
95164054810
102011009122
11942186a11
12481596516
13260830335
1415112308a
15bb83984c
hex77dd9062

2011009122 has 48 divisors (see below), whose sum is σ = 4602394368. Its totient is φ = 633618720.

The previous prime is 2011009111. The next prime is 2011009127. The reversal of 2011009122 is 2219001102.

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

It is a junction number, because it is equal to n+sod(n) for n = 2011009095 and 2011009104.

It is not an unprimeable number, because it can be changed into a prime (2011009127) 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 23 ways as a sum of consecutive naturals, for example, 17913 + ... + 65900.

It is an arithmetic number, because the mean of its divisors is an integer number (95883216).

Almost surely, 22011009122 is an apocalyptic number.

2011009122 is an abundant number, since it is smaller than the sum of its proper divisors (2591385246).

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

2011009122 is a wasteful number, since it uses less digits than its factorization.

2011009122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83895 (or 83892 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 2011009122 is about 44844.2763571897. The cubic root of 2011009122 is about 1262.2285918162.

The spelling of 2011009122 in words is "two billion, eleven million, nine thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 31 43 62 86 93 129 186 258 279 387 558 774 1333 2666 3999 7998 11997 23994 83813 167626 251439 502878 754317 1508634 2598203 3603959 5196406 7207918 7794609 10811877 15589218 21623754 23383827 32435631 46767654 64871262 111722729 223445458 335168187 670336374 1005504561 2011009122