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122221121331 = 3231771320599
BaseRepresentation
bin111000111010011110…
…0100100111100110011
3102200110210121021011110
41301310330210330303
54000302101340311
6132051514444403
711554516250541
oct1616474447463
9380423537143
10122221121331
1147919700491
121b82b733703
13b6aa40264a
145cb6320d91
1532a4e958a6
hex1c74f24f33

122221121331 has 8 divisors (see below), whose sum is σ = 170046777600. Its totient is φ = 77938106312.

The previous prime is 122221121299. The next prime is 122221121357. The reversal of 122221121331 is 133121122221.

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

It is a cyclic number.

It is not a de Polignac number, because 122221121331 - 25 = 122221121299 is a prime.

It is a super-2 number, since 2×1222211213312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122221121298 and 122221121307.

It is not an unprimeable number, because it can be changed into a prime (122221121131) 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, 885660231 + ... + 885660368.

It is an arithmetic number, because the mean of its divisors is an integer number (21255847200).

Almost surely, 2122221121331 is an apocalyptic number.

122221121331 is a deficient number, since it is larger than the sum of its proper divisors (47825656269).

122221121331 is a wasteful number, since it uses less digits than its factorization.

122221121331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1771320625.

The product of its digits is 288, while the sum is 21.

Adding to 122221121331 its reverse (133121122221), we get a palindrome (255342243552).

The spelling of 122221121331 in words is "one hundred twenty-two billion, two hundred twenty-one million, one hundred twenty-one thousand, three hundred thirty-one".

Divisors: 1 3 23 69 1771320599 5313961797 40740373777 122221121331