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122213919321 = 32131044563413
BaseRepresentation
bin111000111010010000…
…1000110101001011001
3102200110022001100212100
41301310201012221121
54000243230404241
6132051100234013
711554401113454
oct1616441065131
9380408040770
10122213919321
114791563150a
121b82923b909
13b6a8a804c0
145cb53a849b
1532a45219b6
hex1c74846a59

122213919321 has 12 divisors (see below), whose sum is σ = 190110541348. Its totient is φ = 75208565664.

The previous prime is 122213919319. The next prime is 122213919391. The reversal of 122213919321 is 123919312221.

122213919321 is a `hidden beast` number, since 12 + 221 + 391 + 9 + 32 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 60533713296 + 61680206025 = 246036^2 + 248355^2 .

It is not a de Polignac number, because 122213919321 - 21 = 122213919319 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122213919391) 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, 522281590 + ... + 522281823.

Almost surely, 2122213919321 is an apocalyptic number.

It is an amenable number.

122213919321 is a deficient number, since it is larger than the sum of its proper divisors (67896622027).

122213919321 is a wasteful number, since it uses less digits than its factorization.

122213919321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044563432 (or 1044563429 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The spelling of 122213919321 in words is "one hundred twenty-two billion, two hundred thirteen million, nine hundred nineteen thousand, three hundred twenty-one".

Divisors: 1 3 9 13 39 117 1044563413 3133690239 9401070717 13579324369 40737973107 122213919321