Search a number
-
+
2010122221122 = 2323111117321467
BaseRepresentation
bin11101010000000100100…
…111101111011001000010
321010011110212120221221200
4131100010213233121002
5230413212242033442
64135234251202030
7265140462651561
oct35200447573102
97104425527850
102010122221122
11705540654394
122856a9a46316
13117727675722
146d40cd49bd8
153744b97e34c
hex1d4049ef642

2010122221122 has 48 divisors (see below), whose sum is σ = 4373194093632. Its totient is φ = 667286264160.

The previous prime is 2010122221073. The next prime is 2010122221139. The reversal of 2010122221122 is 2211222210102.

It is a happy number.

2010122221122 is a `hidden beast` number, since 201 + 0 + 122 + 221 + 122 = 666.

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 = 2010122221095 and 2010122221104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6092233 + ... + 6413699.

It is an arithmetic number, because the mean of its divisors is an integer number (91108210284).

Almost surely, 22010122221122 is an apocalyptic number.

2010122221122 is an abundant number, since it is smaller than the sum of its proper divisors (2363071872510).

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

2010122221122 is a wasteful number, since it uses less digits than its factorization.

2010122221122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322903 (or 322900 counting only the distinct ones).

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

Adding to 2010122221122 its reverse (2211222210102), we get a palindrome (4221344431224).

The spelling of 2010122221122 in words is "two trillion, ten billion, one hundred twenty-two million, two hundred twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 311 622 933 1117 1866 2234 2799 3351 5598 6702 10053 20106 321467 347387 642934 694774 964401 1042161 1928802 2084322 2893203 3126483 5786406 6252966 99976237 199952474 299928711 359078639 599857422 718157278 899786133 1077235917 1799572266 2154471834 3231707751 6463415502 111673456729 223346913458 335020370187 670040740374 1005061110561 2010122221122