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122442303321 = 3313871940009
BaseRepresentation
bin111001000001000100…
…0010100011101011001
3102201001012210110211000
41302002020110131121
54001230212201241
6132125455255213
711563143256152
oct1620210243531
9381035713730
10122442303321
1147a22540818
121b89181a509
13b714195070
145cd7858929
1532b95d5eb6
hex1c82214759

122442303321 has 32 divisors (see below), whose sum is σ = 195376832000. Its totient is φ = 75338584704.

The previous prime is 122442303299. The next prime is 122442303323. The reversal of 122442303321 is 123303244221.

122442303321 is a `hidden beast` number, since 12 + 24 + 4 + 2 + 303 + 321 = 666.

It is a de Polignac number, because none of the positive numbers 2k-122442303321 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122442303323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3040365 + ... + 3080373.

It is an arithmetic number, because the mean of its divisors is an integer number (6105526000).

Almost surely, 2122442303321 is an apocalyptic number.

It is an amenable number.

122442303321 is a deficient number, since it is larger than the sum of its proper divisors (72934528679).

122442303321 is a wasteful number, since it uses less digits than its factorization.

122442303321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48750 (or 48744 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 122442303321 its reverse (123303244221), we get a palindrome (245745547542).

The spelling of 122442303321 in words is "one hundred twenty-two billion, four hundred forty-two million, three hundred three thousand, three hundred twenty-one".

Divisors: 1 3 9 13 27 39 117 351 8719 26157 40009 78471 113347 120027 235413 340041 360081 520117 1020123 1080243 1560351 3060369 4681053 14043159 348838471 1046515413 3139546239 4534900123 9418638717 13604700369 40814101107 122442303321