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11122023120 = 2435133564751
BaseRepresentation
bin10100101101110110…
…01001101011010000
31001201010001022111020
422112323021223100
5140234214214440
65035343315440
7542420431245
oct122673115320
931633038436
1011122023120
11479810164a
1221a48abb80
1310832ac390
147771955cc
154516443d0
hex296ec9ad0

11122023120 has 80 divisors (see below), whose sum is σ = 37130456832. Its totient is φ = 2737728000.

The previous prime is 11122023071. The next prime is 11122023139. The reversal of 11122023120 is 2132022111.

11122023120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11122023120.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1779256 + ... + 1785495.

Almost surely, 211122023120 is an apocalyptic number.

11122023120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11122023120 is an abundant number, since it is smaller than the sum of its proper divisors (26008433712).

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

11122023120 is a wasteful number, since it uses less digits than its factorization.

11122023120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3564780 (or 3564774 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 11122023120 its reverse (2132022111), we get a palindrome (13254045231).

The spelling of 11122023120 in words is "eleven billion, one hundred twenty-two million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 3564751 7129502 10694253 14259004 17823755 21388506 28518008 35647510 42777012 46341763 53471265 57036016 71295020 85554024 92683526 106942530 139025289 142590040 171108048 185367052 213885060 231708815 278050578 285180080 370734104 427770120 463417630 556101156 695126445 741468208 855540240 926835260 1112202312 1390252890 1853670520 2224404624 2780505780 3707341040 5561011560 11122023120