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123320353505141 = 1328921328003217
BaseRepresentation
bin11100000010100011000001…
…110111010011111101110101
3121011122022101110200112021102
4130002203001313103331311
5112130440040444131031
61114140331023455445
734655413215254012
oct3402430167237565
9534568343615242
10123320353505141
1136325960664911
12119b8388a57585
1353a70a0775830
142264a462d0709
15e3cca33517cb
hex7028c1dd3f75

123320353505141 has 8 divisors (see below), whose sum is σ = 132811126993944. Its totient is φ = 113830236080640.

The previous prime is 123320353505087. The next prime is 123320353505171. The reversal of 123320353505141 is 141505353023321.

It can be written as a sum of positive squares in 4 ways, for example, as 23854637942641 + 99465715562500 = 4884121^2 + 9973250^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-123320353505141 is a prime.

It is a super-3 number, since 3×1233203535051413 (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 123320353505095 and 123320353505104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123320353505171) 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, 163625636 + ... + 164377581.

It is an arithmetic number, because the mean of its divisors is an integer number (16601390874243).

Almost surely, 2123320353505141 is an apocalyptic number.

It is an amenable number.

123320353505141 is a deficient number, since it is larger than the sum of its proper divisors (9490773488803).

123320353505141 is a wasteful number, since it uses less digits than its factorization.

123320353505141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328032151.

The product of its (nonzero) digits is 162000, while the sum is 38.

The spelling of 123320353505141 in words is "one hundred twenty-three trillion, three hundred twenty billion, three hundred fifty-three million, five hundred five thousand, one hundred forty-one".

Divisors: 1 13 28921 375973 328003217 4264041821 9486181038857 123320353505141