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201123131103049 is a prime number
BaseRepresentation
bin101101101110101110100000…
…110010010001011101001001
3222101010011221210221121110111
4231232232200302101131021
5202330200133030244144
61551430405122514321
760235444452215341
oct5556564062213511
9871104853847414
10201123131103049
11590a1928269431
121a6830158059a1
13882baa3339b7c
1437945a9185d21
15183ba1a5ea534
hexb6eba0c91749

201123131103049 has 2 divisors, whose sum is σ = 201123131103050. Its totient is φ = 201123131103048.

The previous prime is 201123131102951. The next prime is 201123131103109. The reversal of 201123131103049 is 940301131321102.

201123131103049 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 200441375383824 + 681755719225 = 14157732^2 + 825685^2 .

It is a cyclic number.

It is not a de Polignac number, because 201123131103049 - 231 = 201120983619401 is a prime.

It is a super-3 number, since 3×2011231311030493 (a number of 44 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 201123131103049.

It is not a weakly prime, because it can be changed into another prime (201123131103749) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100561565551524 + 100561565551525.

It is an arithmetic number, because the mean of its divisors is an integer number (100561565551525).

Almost surely, 2201123131103049 is an apocalyptic number.

It is an amenable number.

201123131103049 is a deficient number, since it is larger than the sum of its proper divisors (1).

201123131103049 is an equidigital number, since it uses as much as digits as its factorization.

201123131103049 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3888, while the sum is 31.

The spelling of 201123131103049 in words is "two hundred one trillion, one hundred twenty-three billion, one hundred thirty-one million, one hundred three thousand, forty-nine".