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122232041331 = 3101419962783
BaseRepresentation
bin111000111010110011…
…0001110111101110011
3102200111120011001120220
41301311212032331303
54000312400310311
6132052544504123
711555011131351
oct1616546167563
9380446131526
10122232041331
1147924889884
121b83331b043
13b6ac756b9a
145cb79647d1
1532a5e01206
hex1c7598ef73

122232041331 has 16 divisors (see below), whose sum is σ = 164982666240. Its totient is φ = 80488575200.

The previous prime is 122232041329. The next prime is 122232041339. The reversal of 122232041331 is 133140232221.

It is a cyclic number.

It is not a de Polignac number, because 122232041331 - 21 = 122232041329 is a prime.

It is a super-2 number, since 2×1222320413312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122232041339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 354435 + ... + 608348.

It is an arithmetic number, because the mean of its divisors is an integer number (10311416640).

Almost surely, 2122232041331 is an apocalyptic number.

122232041331 is a deficient number, since it is larger than the sum of its proper divisors (42750624909).

122232041331 is a wasteful number, since it uses less digits than its factorization.

122232041331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963306.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 122232041331 its reverse (133140232221), we get a palindrome (255372273552).

The spelling of 122232041331 in words is "one hundred twenty-two billion, two hundred thirty-two million, forty-one thousand, three hundred thirty-one".

Divisors: 1 3 101 303 419 1257 42319 126957 962783 2888349 97241083 291723249 403406077 1210218231 40744013777 122232041331