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11012013252 = 2232305889257
BaseRepresentation
bin10100100000101110…
…11111110011000100
31001102110001020022200
422100113133303010
5140023033411002
65020413354500
7536613365622
oct122027376304
931373036280
1011012013252
114740aa35a9
122173a98a30
131066572696
1476671a512
15446b63b1c
hex2905dfcc4

11012013252 has 18 divisors (see below), whose sum is σ = 27835922478. Its totient is φ = 3670671072.

The previous prime is 11012013251. The next prime is 11012013253. The reversal of 11012013252 is 25231021011.

11012013252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11012013251) and next prime (11012013253).

It can be written as a sum of positive squares in only one way, i.e., 9583626816 + 1428386436 = 97896^2 + 37794^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-3 number, since 3×110120132523 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11012013251) 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 5 ways as a sum of consecutive naturals, for example, 152944593 + ... + 152944664.

Almost surely, 211012013252 is an apocalyptic number.

11012013252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11012013252 is an abundant number, since it is smaller than the sum of its proper divisors (16823909226).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11012013252 is a wasteful number, since it uses less digits than its factorization.

11012013252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305889267 (or 305889262 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 11012013252 its reverse (25231021011), we get a palindrome (36243034263).

The spelling of 11012013252 in words is "eleven billion, twelve million, thirteen thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 305889257 611778514 917667771 1223557028 1835335542 2753003313 3670671084 5506006626 11012013252