Search a number
-
+
10201320312109 is a prime number
BaseRepresentation
bin1001010001110010111000…
…0100101100110100101101
31100010020101112220202001021
42110130232010230310231
52314114300444441414
633410231042014141
72102010140640613
oct224345604546455
940106345822037
1010201320312109
1132833a0406253
121189101647351
1358cc98b74b64
14273a646db6b3
1512a55e26ac24
hex9472e12cd2d

10201320312109 has 2 divisors, whose sum is σ = 10201320312110. Its totient is φ = 10201320312108.

The previous prime is 10201320312091. The next prime is 10201320312217. The reversal of 10201320312109 is 90121302310201.

Together with previous prime (10201320312091) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7634445302500 + 2566875009609 = 2763050^2 + 1602147^2 .

It is a cyclic number.

It is not a de Polignac number, because 10201320312109 - 241 = 8002297056557 is a prime.

It is a super-2 number, since 2×102013203121092 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10201320372109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5100660156054 + 5100660156055.

It is an arithmetic number, because the mean of its divisors is an integer number (5100660156055).

Almost surely, 210201320312109 is an apocalyptic number.

It is an amenable number.

10201320312109 is a deficient number, since it is larger than the sum of its proper divisors (1).

10201320312109 is an equidigital number, since it uses as much as digits as its factorization.

10201320312109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 25.

The spelling of 10201320312109 in words is "ten trillion, two hundred one billion, three hundred twenty million, three hundred twelve thousand, one hundred nine".