Search a number
-
+
12211101031313 is a prime number
BaseRepresentation
bin1011000110110001111001…
…0101101101101110010001
31121020100222121220121102202
42301230132111231232101
53100031313331000223
641545411413452545
72400136316121212
oct261543625555621
947210877817382
1012211101031313
11398877620a148
121452715041155
136a766a84b432
1430304014d409
1516298ac3e428
hexb1b1e56db91

12211101031313 has 2 divisors, whose sum is σ = 12211101031314. Its totient is φ = 12211101031312.

The previous prime is 12211101031303. The next prime is 12211101031387. The reversal of 12211101031313 is 31313010111221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8985743650129 + 3225357381184 = 2997623^2 + 1795928^2 .

It is a cyclic number.

It is not a de Polignac number, because 12211101031313 - 214 = 12211101014929 is a prime.

It is a super-2 number, since 2×122111010313132 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12211101031303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6105550515656 + 6105550515657.

It is an arithmetic number, because the mean of its divisors is an integer number (6105550515657).

Almost surely, 212211101031313 is an apocalyptic number.

It is an amenable number.

12211101031313 is a deficient number, since it is larger than the sum of its proper divisors (1).

12211101031313 is an equidigital number, since it uses as much as digits as its factorization.

12211101031313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 12211101031313 its reverse (31313010111221), we get a palindrome (43524111142534).

The spelling of 12211101031313 in words is "twelve trillion, two hundred eleven billion, one hundred one million, thirty-one thousand, three hundred thirteen".