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11121020001 = 3271333474057
BaseRepresentation
bin10100101101101110…
…10100110001100001
31001201001011100110200
422112313110301201
5140233440120001
65035310015413
7542406052560
oct122667246141
931631140420
1011121020001
114797586a23
1221a44a7569
13108301a910
14776db3bd7
154514e7086
hex296dd4c61

11121020001 has 48 divisors (see below), whose sum is σ = 19781483904. Its totient is φ = 5862834432.

The previous prime is 11121019981. The next prime is 11121020023. The reversal of 11121020001 is 10002012111.

It is a happy number.

11121020001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11121020001 - 25 = 11121019969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (11121020041) 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 47 ways as a sum of consecutive naturals, for example, 2739165 + ... + 2743221.

It is an arithmetic number, because the mean of its divisors is an integer number (412114248).

Almost surely, 211121020001 is an apocalyptic number.

It is an amenable number.

11121020001 is a deficient number, since it is larger than the sum of its proper divisors (8660463903).

11121020001 is a wasteful number, since it uses less digits than its factorization.

11121020001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7430 (or 7427 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11121020001 its reverse (10002012111), we get a palindrome (21123032112).

The spelling of 11121020001 in words is "eleven billion, one hundred twenty-one million, twenty thousand, one".

Divisors: 1 3 7 9 13 21 39 63 91 117 273 819 3347 4057 10041 12171 23429 28399 30123 36513 43511 52741 70287 85197 130533 158223 210861 255591 304577 369187 391599 474669 913731 1107561 2741193 3322683 13578779 40736337 95051453 122209011 176524127 285154359 529572381 855463077 1235668889 1588717143 3707006667 11121020001