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122242412133 = 3213582490237
BaseRepresentation
bin111000111011000110…
…1110010111001100101
3102200112021122221122200
41301312031302321211
54000323024142013
6132053555045113
711555165234052
oct1616615627145
9380467587580
10122242412133
114792a722596
121b8368a0799
13b6b194845a
145cb90a4029
1532a6c9de73
hex1c76372e65

122242412133 has 6 divisors (see below), whose sum is σ = 176572373094. Its totient is φ = 81494941416.

The previous prime is 122242412129. The next prime is 122242412137. The reversal of 122242412133 is 331214242221.

122242412133 is a `hidden beast` number, since 1 + 2 + 2 + 242 + 412 + 1 + 3 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (122242412129) and next prime (122242412137).

It can be written as a sum of positive squares in only one way, i.e., 119244521124 + 2997891009 = 345318^2 + 54753^2 .

It is not a de Polignac number, because 122242412133 - 22 = 122242412129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122242412097 and 122242412106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122242412137) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6791245110 + ... + 6791245127.

It is an arithmetic number, because the mean of its divisors is an integer number (29428728849).

Almost surely, 2122242412133 is an apocalyptic number.

It is an amenable number.

122242412133 is a deficient number, since it is larger than the sum of its proper divisors (54329960961).

122242412133 is a wasteful number, since it uses less digits than its factorization.

122242412133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13582490243 (or 13582490240 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 122242412133 its reverse (331214242221), we get a palindrome (453456654354).

The spelling of 122242412133 in words is "one hundred twenty-two billion, two hundred forty-two million, four hundred twelve thousand, one hundred thirty-three".

Divisors: 1 3 9 13582490237 40747470711 122242412133