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1000100211 = 31122755097
BaseRepresentation
bin111011100111000…
…101000101110011
32120200212100120120
4323213011011303
54022011201321
6243123341323
733532466025
oct7347050563
92520770516
101000100211
11473592100
1223ab21843
1312c273996
1496b76015
155cc00ec6
hex3b9c5173

1000100211 has 12 divisors (see below), whose sum is σ = 1465712136. Its totient is φ = 606121120.

The previous prime is 1000100201. The next prime is 1000100239. The reversal of 1000100211 is 1120010001.

It is not a de Polignac number, because 1000100211 - 210 = 1000099187 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1000100211.

It is not an unprimeable number, because it can be changed into a prime (1000100201) 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 in 11 ways as a sum of consecutive naturals, for example, 1377186 + ... + 1377911.

It is an arithmetic number, because the mean of its divisors is an integer number (122142678).

Almost surely, 21000100211 is an apocalyptic number.

1000100211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1000100211 is a deficient number, since it is larger than the sum of its proper divisors (465611925).

1000100211 is a wasteful number, since it uses less digits than its factorization.

1000100211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2755122 (or 2755111 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 1000100211 is about 31624.3610370233. The cubic root of 1000100211 is about 1000.0334025509.

Adding to 1000100211 its reverse (1120010001), we get a palindrome (2120110212).

The spelling of 1000100211 in words is "one billion, one hundred thousand, two hundred eleven".

Divisors: 1 3 11 33 121 363 2755097 8265291 30306067 90918201 333366737 1000100211