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1012002002011 = 711132965952901
BaseRepresentation
bin11101011101000000000…
…01010001010001011011
310120202011011022022002001
432232200001101101123
5113040040003031021
62052523551021431
7133054232041360
oct16564001212133
93522134268061
101012002002011
11360207824720
1214417150a877
137457b981690
1436da4426467
151b4d0280091
hexeba005145b

1012002002011 has 64 divisors (see below), whose sum is σ = 1407785702400. Its totient is φ = 701733312000.

The previous prime is 1012002002003. The next prime is 1012002002017. The reversal of 1012002002011 is 1102002002101.

It is not a de Polignac number, because 1012002002011 - 23 = 1012002002003 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1012002002017) 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 63 ways as a sum of consecutive naturals, for example, 19103661 + ... + 19156561.

It is an arithmetic number, because the mean of its divisors is an integer number (21996651600).

Almost surely, 21012002002011 is an apocalyptic number.

1012002002011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1012002002011 is a deficient number, since it is larger than the sum of its proper divisors (395783700389).

1012002002011 is a wasteful number, since it uses less digits than its factorization.

1012002002011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53620.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1012002002011 its reverse (1102002002101), we get a palindrome (2114004004112).

The spelling of 1012002002011 in words is "one trillion, twelve billion, two million, two thousand, eleven".

Divisors: 1 7 11 13 29 77 91 143 203 319 377 659 1001 2233 2639 4147 4613 7249 8567 19111 29029 50743 52901 59969 94237 133777 210221 248443 370307 581911 659659 687713 1471547 1534129 1739101 2732873 4073377 4813991 7564843 10738903 16875419 19130111 19943677 34861759 52953901 118127933 139605739 219380447 244032313 383479349 453202867 1010991011 1535663129 2684355443 3172420069 4985231537 7076937077 11120901121 13142883143 34896620759 77846307847 92000182001 144571714573 1012002002011