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2879582901121 is a prime number
BaseRepresentation
bin101001111001110100100…
…001000001001110000001
3101012021201002020211212001
4221321310201001032001
5334134341210313441
610042510115104001
7415020514543003
oct51716441011601
911167632224761
102879582901121
11a10251528043
123a60ba5a2001
1317b70b0c8484
149d530418373
154ed87d4d731
hex29e74841381

2879582901121 has 2 divisors, whose sum is σ = 2879582901122. Its totient is φ = 2879582901120.

The previous prime is 2879582901113. The next prime is 2879582901127. The reversal of 2879582901121 is 1211092859782.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2673797280625 + 205785620496 = 1635175^2 + 453636^2 .

It is a cyclic number.

It is not a de Polignac number, because 2879582901121 - 23 = 2879582901113 is a prime.

It is not a weakly prime, because it can be changed into another prime (2879582901127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1439791450560 + 1439791450561.

It is an arithmetic number, because the mean of its divisors is an integer number (1439791450561).

Almost surely, 22879582901121 is an apocalyptic number.

It is an amenable number.

2879582901121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2879582901121 is an equidigital number, since it uses as much as digits as its factorization.

2879582901121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1451520, while the sum is 55.

The spelling of 2879582901121 in words is "two trillion, eight hundred seventy-nine billion, five hundred eighty-two million, nine hundred one thousand, one hundred twenty-one".