Search a number
-
+
120110011128 = 23323154199469
BaseRepresentation
bin110111111011100011…
…1010101001011111000
3102111000200011202101200
41233313013111023320
53431441130324003
6131102222214200
711451303151362
oct1576707251370
9374020152350
10120110011128
1146a35a74108
121b340724360
13b431c24803
145b55bc1d32
1531ce9866a3
hex1bf71d52f8

120110011128 has 96 divisors (see below), whose sum is σ = 336415497600. Its totient is φ = 38673158400.

The previous prime is 120110011121. The next prime is 120110011157. The reversal of 120110011128 is 821110011021.

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

It is a self number, because there is not a number n which added to its sum of digits gives 120110011128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120110011121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1157778 + ... + 1257246.

It is an arithmetic number, because the mean of its divisors is an integer number (3504328100).

Almost surely, 2120110011128 is an apocalyptic number.

120110011128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120110011128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168207748800).

120110011128 is an abundant number, since it is smaller than the sum of its proper divisors (216305486472).

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

120110011128 is a wasteful number, since it uses less digits than its factorization.

120110011128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100053 (or 100046 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 120110011128 its reverse (821110011021), we get a palindrome (941220022149).

The spelling of 120110011128 in words is "one hundred twenty billion, one hundred ten million, eleven thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 541 558 744 1082 1116 1623 2164 2232 3246 4328 4869 6492 9738 12984 16771 19476 33542 38952 50313 67084 99469 100626 134168 150939 198938 201252 298407 301878 397876 402504 596814 603756 795752 895221 1193628 1207512 1790442 2387256 3083539 3580884 6167078 7161768 9250617 12334156 18501234 24668312 27751851 37002468 53812729 55503702 74004936 107625458 111007404 161438187 215250916 222014808 322876374 430501832 484314561 645752748 968629122 1291505496 1668194599 1937258244 3336389198 3874516488 5004583797 6672778396 10009167594 13345556792 15013751391 20018335188 30027502782 40036670376 60055005564 120110011128