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2900211111101 is a prime number
BaseRepresentation
bin101010001101000010000…
…011011001010010111101
3101021020221200212111012002
4222031002003121102331
5340004113021023401
610100201045152045
7416350635460613
oct52150203312275
911236850774162
102900211111101
11a18a77622567
123aa0b69bb625
13180647997c95
14a0529d0b6b3
1550693d0aa6b
hex2a3420d94bd

2900211111101 has 2 divisors, whose sum is σ = 2900211111102. Its totient is φ = 2900211111100.

The previous prime is 2900211111079. The next prime is 2900211111139. The reversal of 2900211111101 is 1011111120092.

2900211111101 is digitally balanced in base 3, 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., 2003498702500 + 896712408601 = 1415450^2 + 946949^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2900211111101 is a prime.

It is a super-2 number, since 2×29002111111012 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2900211111181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1450105555550 + 1450105555551.

It is an arithmetic number, because the mean of its divisors is an integer number (1450105555551).

Almost surely, 22900211111101 is an apocalyptic number.

It is an amenable number.

2900211111101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2900211111101 is an equidigital number, since it uses as much as digits as its factorization.

2900211111101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 20.

Adding to 2900211111101 its reverse (1011111120092), we get a palindrome (3911322231193).

The spelling of 2900211111101 in words is "two trillion, nine hundred billion, two hundred eleven million, one hundred eleven thousand, one hundred one".