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122201332319 = 1131135720939
BaseRepresentation
bin111000111001111000…
…1000101101001011111
3102200102102100212202002
41301303301011221133
54000232020113234
6132045530352515
711554156120613
oct1616361055137
9380372325662
10122201332319
1147909514730
121b824b8b73b
13b6a6294281
145cb384d343
1532a338727e
hex1c73c45a5f

122201332319 has 8 divisors (see below), whose sum is σ = 133739199360. Its totient is φ = 110734907800.

The previous prime is 122201332313. The next prime is 122201332321. The reversal of 122201332319 is 913233102221.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 122201332319 - 216 = 122201266783 is a prime.

It is a super-2 number, since 2×1222013323192 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122201332291 and 122201332300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122201332313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17857049 + ... + 17863890.

It is an arithmetic number, because the mean of its divisors is an integer number (16717399920).

Almost surely, 2122201332319 is an apocalyptic number.

122201332319 is a deficient number, since it is larger than the sum of its proper divisors (11537867041).

122201332319 is a wasteful number, since it uses less digits than its factorization.

122201332319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35721261.

The product of its (nonzero) digits is 3888, while the sum is 29.

The spelling of 122201332319 in words is "one hundred twenty-two billion, two hundred one million, three hundred thirty-two thousand, three hundred nineteen".

Divisors: 1 11 311 3421 35720939 392930329 11109212029 122201332319