Search a number
-
+
11154142120 = 2351125350323
BaseRepresentation
bin10100110001101011…
…01011001110101000
31001210100111010110211
422120311223032220
5140320430021440
65042451550504
7543260433532
oct123065531650
931710433424
1011154142120
11480424a080
1221b35bb434
131089b469c4
1477b556852
1545438aeea
hex298d6b3a8

11154142120 has 32 divisors (see below), whose sum is σ = 27378349920. Its totient is φ = 4056051520.

The previous prime is 11154142117. The next prime is 11154142121. The reversal of 11154142120 is 2124145111.

It is a happy number.

11154142120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 11154142091 and 11154142100.

It is not an unprimeable number, because it can be changed into a prime (11154142121) 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 7 ways as a sum of consecutive naturals, for example, 12674722 + ... + 12675601.

It is an arithmetic number, because the mean of its divisors is an integer number (855573435).

Almost surely, 211154142120 is an apocalyptic number.

11154142120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11154142120 is an abundant number, since it is smaller than the sum of its proper divisors (16224207800).

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

11154142120 is a wasteful number, since it uses less digits than its factorization.

11154142120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25350345 (or 25350341 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 22.

Adding to 11154142120 its reverse (2124145111), we get a palindrome (13278287231).

The spelling of 11154142120 in words is "eleven billion, one hundred fifty-four million, one hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 25350323 50700646 101401292 126751615 202802584 253503230 278853553 507006460 557707106 1014012920 1115414212 1394267765 2230828424 2788535530 5577071060 11154142120