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122443402000331 = 17312937369107609
BaseRepresentation
bin11011110101110010010011…
…011110110011011111001011
3121001112110211012201022112002
4123311302103132303133023
5112022103041403002311
61112225420005341215
734535146434412316
oct3365622336633713
9531473735638462
10122443402000331
1136017a56377655
121189642770780b
135342495128079
14223441401b97d
15e2507951393b
hex6f5c937b37cb

122443402000331 has 32 divisors (see below), whose sum is σ = 134304304780800. Its totient is φ = 111126661079040.

The previous prime is 122443402000327. The next prime is 122443402000417. The reversal of 122443402000331 is 133000204344221.

It is a cyclic number.

It is not a de Polignac number, because 122443402000331 - 22 = 122443402000327 is a prime.

It is a super-2 number, since 2×1224434020003312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122443402000294 and 122443402000303.

It is not an unprimeable number, because it can be changed into a prime (122443402000531) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1137800855 + ... + 1137908463.

It is an arithmetic number, because the mean of its divisors is an integer number (4197009524400).

Almost surely, 2122443402000331 is an apocalyptic number.

122443402000331 is a deficient number, since it is larger than the sum of its proper divisors (11860902780469).

122443402000331 is a wasteful number, since it uses less digits than its factorization.

122443402000331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115319.

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 122443402000331 its reverse (133000204344221), we get a palindrome (255443606344552).

The spelling of 122443402000331 in words is "one hundred twenty-two trillion, four hundred forty-three billion, four hundred two million, three hundred thirty-one", and thus it is an aban number.

Divisors: 1 17 31 293 527 4981 7369 9083 107609 125273 154411 228439 1829353 2159117 3335879 3883463 31529437 36704989 56709943 66932627 536000429 792970721 977412547 1137854659 13480502257 16616013299 24582092351 232340421253 417895569967 3949787161301 7202553058843 122443402000331