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11120001012 = 2232521592877
BaseRepresentation
bin10100101101100110…
…11011111111110100
31001200222020120200100
422112303123333310
5140233210013022
65035232114100
7542364310011
oct122663337764
931628216610
1011120001012
114796a5038a
1221a4095930
131082a51b73
14776bca708
154513951ac
hex296cdbff4

11120001012 has 36 divisors (see below), whose sum is σ = 28162890756. Its totient is φ = 3699546240.

The previous prime is 11120000993. The next prime is 11120001023. The reversal of 11120001012 is 21010002111.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2486617956 + 8633383056 = 49866^2 + 92916^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 11120000985 and 11120001003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 277683 + ... + 315194.

It is an arithmetic number, because the mean of its divisors is an integer number (782302521).

Almost surely, 211120001012 is an apocalyptic number.

11120001012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11120001012 is an abundant number, since it is smaller than the sum of its proper divisors (17042889744).

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

11120001012 is a wasteful number, since it uses less digits than its factorization.

11120001012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593408 (or 593403 counting only the distinct ones).

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

Adding to 11120001012 its reverse (21010002111), we get a palindrome (32130003123).

The spelling of 11120001012 in words is "eleven billion, one hundred twenty million, one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 521 1042 1563 2084 3126 4689 6252 9378 18756 592877 1185754 1778631 2371508 3557262 5335893 7114524 10671786 21343572 308888917 617777834 926666751 1235555668 1853333502 2780000253 3706667004 5560000506 11120001012