Search a number
-
+
110100111112021 is a prime number
BaseRepresentation
bin11001000010001010101110…
…000000110011011101010101
3112102211110122001021012101211
4121002022232000303131111
5103412340011421041041
61030055143124221421
732122320251111032
oct3102125600633525
9472743561235354
10110100111112021
1132099216467408
121042218053a871
13495851bb15454
141d28c33a46389
15cade53599481
hex6422ae033755

110100111112021 has 2 divisors, whose sum is σ = 110100111112022. Its totient is φ = 110100111112020.

The previous prime is 110100111111967. The next prime is 110100111112027. The reversal of 110100111112021 is 120211111001011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82819191255025 + 27280919856996 = 9100505^2 + 5223114^2 .

It is an emirp because it is prime and its reverse (120211111001011) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 110100111112021 - 29 = 110100111111509 is a prime.

It is a super-4 number, since 4×1101001111120214 (a number of 57 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110100111111992 and 110100111112010.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110100111112027) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55050055556010 + 55050055556011.

It is an arithmetic number, because the mean of its divisors is an integer number (55050055556011).

Almost surely, 2110100111112021 is an apocalyptic number.

It is an amenable number.

110100111112021 is a deficient number, since it is larger than the sum of its proper divisors (1).

110100111112021 is an equidigital number, since it uses as much as digits as its factorization.

110100111112021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 110100111112021 its reverse (120211111001011), we get a palindrome (230311222113032).

The spelling of 110100111112021 in words is "one hundred ten trillion, one hundred billion, one hundred eleven million, one hundred twelve thousand, twenty-one".