Search a number
-
+
202201010010821 is a prime number
BaseRepresentation
bin101101111110011010010111…
…010111111111101011000101
3222111221020011001021110102002
4231332122113113333223011
5203000330132030321241
61554013510040355045
760406353344603543
oct5576322727775305
9874836131243362
10202201010010821
1159477a6a866418
121a817ab1175a85
1388a9620176053
1437d081c78ad93
151859aa3eed89b
hexb7e6975ffac5

202201010010821 has 2 divisors, whose sum is σ = 202201010010822. Its totient is φ = 202201010010820.

The previous prime is 202201010010757. The next prime is 202201010010953. The reversal of 202201010010821 is 128010010102202.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 148787276269921 + 53413733740900 = 12197839^2 + 7308470^2 .

It is a cyclic number.

It is not a de Polignac number, because 202201010010821 - 26 = 202201010010757 is a prime.

It is a super-2 number, since 2×2022010100108212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 202201010010793 and 202201010010802.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (202201010019821) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101100505005410 + 101100505005411.

It is an arithmetic number, because the mean of its divisors is an integer number (101100505005411).

Almost surely, 2202201010010821 is an apocalyptic number.

It is an amenable number.

202201010010821 is a deficient number, since it is larger than the sum of its proper divisors (1).

202201010010821 is an equidigital number, since it uses as much as digits as its factorization.

202201010010821 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 128, while the sum is 20.

The spelling of 202201010010821 in words is "two hundred two trillion, two hundred one billion, ten million, ten thousand, eight hundred twenty-one".