Search a number
-
+
122066026722 = 232101229293201
BaseRepresentation
bin111000110101110110…
…0111100000011100010
3102200001222202122100200
41301223230330003202
53444442400323342
6132024254330030
711550624051633
oct1615354740342
9380058678320
10122066026722
114784a0a9622
121b7a77b9916
13b68423b8a3
145c9d8ab88a
15329655b94c
hex1c6bb3c0e2

122066026722 has 48 divisors (see below), whose sum is σ = 268262237880. Its totient is φ = 40109760000.

The previous prime is 122066026717. The next prime is 122066026763. The reversal of 122066026722 is 227620660221.

122066026722 is a `hidden beast` number, since 1 + 2 + 20 + 6 + 602 + 6 + 7 + 22 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 113346015561 + 8720011161 = 336669^2 + 93381^2 .

It is a super-2 number, since 2×1220660267222 (a number of 23 digits) contains 22 as substring.

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, 269722 + ... + 562922.

Almost surely, 2122066026722 is an apocalyptic number.

122066026722 is an abundant number, since it is smaller than the sum of its proper divisors (146196211158).

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

122066026722 is a wasteful number, since it uses less digits than its factorization.

122066026722 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293539 (or 293536 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

Adding to 122066026722 its reverse (227620660221), we get a palindrome (349686686943).

The spelling of 122066026722 in words is "one hundred twenty-two billion, sixty-six million, twenty-six thousand, seven hundred twenty-two".

Divisors: 1 2 3 6 9 18 101 202 229 303 458 606 687 909 1374 1818 2061 4122 23129 46258 69387 138774 208161 293201 416322 586402 879603 1759206 2638809 5277618 29613301 59226602 67143029 88839903 134286058 177679806 201429087 266519709 402858174 533039418 604287261 1208574522 6781445929 13562891858 20344337787 40688675574 61033013361 122066026722