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122311101331 = 4379316711369
BaseRepresentation
bin111000111101001001…
…1110100101110010011
3102200201001220201112001
41301322103310232103
54000443120220311
6132104451214431
711556661131106
oct1617223645623
9380631821461
10122311101331
1147965478821
121b8558a7417
13b6c2c48453
145cc426473d
1532acd1b4c1
hex1c7a4f4b93

122311101331 has 16 divisors (see below), whose sum is σ = 126790963200. Its totient is φ = 117906804288.

The previous prime is 122311101329. The next prime is 122311101361. The reversal of 122311101331 is 133101113221.

It is a cyclic number.

It is not a de Polignac number, because 122311101331 - 21 = 122311101329 is a prime.

It is a super-2 number, since 2×1223111013312 (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 = 122311101299 and 122311101308.

It is not an unprimeable number, because it can be changed into a prime (122311101301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10752615 + ... + 10763983.

It is an arithmetic number, because the mean of its divisors is an integer number (7924435200).

Almost surely, 2122311101331 is an apocalyptic number.

122311101331 is a deficient number, since it is larger than the sum of its proper divisors (4479861869).

122311101331 is a wasteful number, since it uses less digits than its factorization.

122311101331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14658.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 122311101331 its reverse (133101113221), we get a palindrome (255412214552).

The spelling of 122311101331 in words is "one hundred twenty-two billion, three hundred eleven million, one hundred one thousand, three hundred thirty-one".

Divisors: 1 43 79 3167 3397 11369 136181 250193 488867 898151 10758299 36005623 38620493 1548241789 2844444217 122311101331