Search a number
-
+
122021103033 = 32101134236637
BaseRepresentation
bin111000110100100000…
…1100100010110111001
3102122221212020021122100
41301221001210112321
53444344400244113
6132020011414013
711546540156034
oct1615101442671
9378855207570
10122021103033
1147826805805
121b794754309
13b677b3cc1b
145c9793601b
153292635d73
hex1c690645b9

122021103033 has 12 divisors (see below), whose sum is σ = 177997781988. Its totient is φ = 80541981600.

The previous prime is 122021102977. The next prime is 122021103079. The reversal of 122021103033 is 330301120221.

It can be written as a sum of positive squares in 2 ways, for example, as 116463847824 + 5557255209 = 341268^2 + 74547^2 .

It is not a de Polignac number, because 122021103033 - 228 = 121752667577 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122021102997 and 122021103015.

It is not an unprimeable number, because it can be changed into a prime (122021123033) 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 11 ways as a sum of consecutive naturals, for example, 67117410 + ... + 67119227.

It is an arithmetic number, because the mean of its divisors is an integer number (14833148499).

Almost surely, 2122021103033 is an apocalyptic number.

It is an amenable number.

122021103033 is a deficient number, since it is larger than the sum of its proper divisors (55976678955).

122021103033 is a wasteful number, since it uses less digits than its factorization.

122021103033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134236744 (or 134236741 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 122021103033 its reverse (330301120221), we get a palindrome (452322223254).

The spelling of 122021103033 in words is "one hundred twenty-two billion, twenty-one million, one hundred three thousand, thirty-three".

Divisors: 1 3 9 101 303 909 134236637 402709911 1208129733 13557900337 40673701011 122021103033