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10100003311 is a prime number
BaseRepresentation
bin10010110100000000…
…11101000111101111
3222001212221022212201
421122000131013233
5131141100101221
64350114042331
7505200416536
oct113200350757
928055838781
1010100003311
114313208a82
121b5a5793a7
13c4c632628
146bb55531d
153e1a63891
hex25a01d1ef

10100003311 has 2 divisors, whose sum is σ = 10100003312. Its totient is φ = 10100003310.

The previous prime is 10100003281. The next prime is 10100003339. The reversal of 10100003311 is 11330000101.

10100003311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10100003311 - 213 = 10099995119 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100003341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050001655 + 5050001656.

It is an arithmetic number, because the mean of its divisors is an integer number (5050001656).

Almost surely, 210100003311 is an apocalyptic number.

10100003311 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100003311 is an equidigital number, since it uses as much as digits as its factorization.

10100003311 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 10.

Adding to 10100003311 its reverse (11330000101), we get a palindrome (21430003412).

The spelling of 10100003311 in words is "ten billion, one hundred million, three thousand, three hundred eleven".