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11012000121 = 3217683105379
BaseRepresentation
bin10100100000101110…
…11100100101111001
31001102110000120022100
422100113130211321
5140023033000441
65020413214013
7536613312423
oct122027344571
931373016270
1011012000121
114740a94751
122173a91309
131066569705
14766715813
15446b5ecb6
hex2905dc979

11012000121 has 24 divisors (see below), whose sum is σ = 16866701280. Its totient is φ = 6899308416.

The previous prime is 11012000119. The next prime is 11012000159. The reversal of 11012000121 is 12100021011.

It is a happy number.

11012000121 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 11012000121 - 21 = 11012000119 is a prime.

It is a super-3 number, since 3×110120001213 (a number of 31 digits) contains 333 as substring.

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 (11012000521) 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 23 ways as a sum of consecutive naturals, for example, 51810 + ... + 157188.

It is an arithmetic number, because the mean of its divisors is an integer number (702779220).

Almost surely, 211012000121 is an apocalyptic number.

It is an amenable number.

11012000121 is a deficient number, since it is larger than the sum of its proper divisors (5854701159).

11012000121 is a wasteful number, since it uses less digits than its factorization.

11012000121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106085 (or 106082 counting only the distinct ones).

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

Adding to 11012000121 its reverse (12100021011), we get a palindrome (23112021132).

The spelling of 11012000121 in words is "eleven billion, twelve million, one hundred twenty-one", and thus it is an aban number.

Divisors: 1 3 9 17 51 153 683 2049 6147 11611 34833 104499 105379 316137 948411 1791443 5374329 16122987 71973857 215921571 647764713 1223555569 3670666707 11012000121