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202144012323313 is a prime number
BaseRepresentation
bin101101111101100101010010…
…000011000100100111110001
3222111201210000210001221010211
4231331211102003010213301
5202443411414123321223
61553531402142224121
760402265032342514
oct5575452203044761
9874653023057124
10202144012323313
1159455881089155
121a808a44885041
1388a413872cb38
1437cbb72942d7b
15185836a149d0d
hexb7d9520c49f1

202144012323313 has 2 divisors, whose sum is σ = 202144012323314. Its totient is φ = 202144012323312.

The previous prime is 202144012323293. The next prime is 202144012323371. The reversal of 202144012323313 is 313323210441202.

202144012323313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 165362419486224 + 36781592837089 = 12859332^2 + 6064783^2 .

It is a cyclic number.

It is not a de Polignac number, because 202144012323313 - 237 = 202006573369841 is a prime.

It is not a weakly prime, because it can be changed into another prime (202144012323413) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101072006161656 + 101072006161657.

It is an arithmetic number, because the mean of its divisors is an integer number (101072006161657).

Almost surely, 2202144012323313 is an apocalyptic number.

It is an amenable number.

202144012323313 is a deficient number, since it is larger than the sum of its proper divisors (1).

202144012323313 is an equidigital number, since it uses as much as digits as its factorization.

202144012323313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 20736, while the sum is 31.

Adding to 202144012323313 its reverse (313323210441202), we get a palindrome (515467222764515).

The spelling of 202144012323313 in words is "two hundred two trillion, one hundred forty-four billion, twelve million, three hundred twenty-three thousand, three hundred thirteen".