Search a number
-
+
122313220034034 = 23277206335673289
BaseRepresentation
bin11011110011111001000100…
…000010000000110111110010
3121001002000210121101020001210
4123303321010002000313302
5112012434433312042114
61112045530110140550
734522560421100061
oct3363710402006762
9531060717336053
10122313220034034
1135a77822012557
1211875155ab1756
135333119641693
14222bdc47061d8
15e219aa709259
hex6f3e44080df2

122313220034034 has 32 divisors (see below), whose sum is σ = 245628580988160. Its totient is φ = 40604192560512.

The previous prime is 122313220034011. The next prime is 122313220034059. The reversal of 122313220034034 is 430430022313221.

It is a happy number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 122313220033992 and 122313220034010.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14407939 + ... + 21265350.

It is an arithmetic number, because the mean of its divisors is an integer number (7675893155880).

Almost surely, 2122313220034034 is an apocalyptic number.

122313220034034 is an abundant number, since it is smaller than the sum of its proper divisors (123315360954126).

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

122313220034034 is a wasteful number, since it uses less digits than its factorization.

122313220034034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35675634.

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 122313220034034 its reverse (430430022313221), we get a palindrome (552743242347255).

The spelling of 122313220034034 in words is "one hundred twenty-two trillion, three hundred thirteen billion, two hundred twenty million, thirty-four thousand, thirty-four".

Divisors: 1 2 3 6 277 554 831 1662 2063 4126 6189 12378 571451 1142902 1714353 3428706 35673289 71346578 107019867 214039734 9881501053 19763002106 29644503159 59289006318 73593995207 147187990414 220781985621 441563971242 20385536672339 40771073344678 61156610017017 122313220034034