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122331140224 = 271511632503
BaseRepresentation
bin111000111101110000…
…0010001000010000000
3102200202110121210201021
41301323200101002000
54001013232441344
6132110444515224
711560323351406
oct1617340210200
9380673553637
10122331140224
1147975815297
121b86054bb14
13b6c7143497
145cc6b9d476
1532ae978b84
hex1c7b811080

122331140224 has 32 divisors (see below), whose sum is σ = 243868242240. Its totient is φ = 61124993280.

The previous prime is 122331140167. The next prime is 122331140231. The reversal of 122331140224 is 422041133221.

122331140224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 122844 + ... + 509659.

It is an arithmetic number, because the mean of its divisors is an integer number (7620882570).

Almost surely, 2122331140224 is an apocalyptic number.

It is an amenable number.

122331140224 is a deficient number, since it is larger than the sum of its proper divisors (121537102016).

122331140224 is an equidigital number, since it uses as much as digits as its factorization.

122331140224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634028 (or 634016 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 122331140224 its reverse (422041133221), we get a palindrome (544372273445).

The spelling of 122331140224 in words is "one hundred twenty-two billion, three hundred thirty-one million, one hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 1511 3022 6044 12088 24176 48352 96704 193408 632503 1265006 2530012 5060024 10120048 20240096 40480192 80960384 955712033 1911424066 3822848132 7645696264 15291392528 30582785056 61165570112 122331140224