Search a number
-
+
12154331112 = 23371110165119
BaseRepresentation
bin10110101000111010…
…00101111111101000
31011101001111222211120
423110131011333220
5144343002043422
65330021255240
7610124052450
oct132435057750
934331458746
1012154331112
115177891950
122432564520
1311b911bc01
14834312d60
154b20a845c
hex2d4745fe8

12154331112 has 128 divisors (see below), whose sum is σ = 38259302400. Its totient is φ = 3125664000.

The previous prime is 12154331099. The next prime is 12154331129. The reversal of 12154331112 is 21113345121.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154089 + ... + 219207.

It is an arithmetic number, because the mean of its divisors is an integer number (298900800).

Almost surely, 212154331112 is an apocalyptic number.

12154331112 is a gapful number since it is divisible by the number (12) 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 12154331112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19129651200).

12154331112 is an abundant number, since it is smaller than the sum of its proper divisors (26104971288).

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

12154331112 is a wasteful number, since it uses less digits than its factorization.

12154331112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65247 (or 65243 counting only the distinct ones).

The product of its digits is 720, while the sum is 24.

Adding to 12154331112 its reverse (21113345121), we get a palindrome (33267676233).

The spelling of 12154331112 in words is "twelve billion, one hundred fifty-four million, three hundred thirty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 101 132 154 168 202 231 264 303 308 404 462 606 616 707 808 924 1111 1212 1414 1848 2121 2222 2424 2828 3333 4242 4444 5656 6666 7777 8484 8888 13332 15554 16968 23331 26664 31108 46662 62216 65119 93324 130238 186648 195357 260476 390714 455833 520952 716309 781428 911666 1367499 1432618 1562856 1823332 2148927 2734998 2865236 3646664 4297854 5014163 5469996 5730472 6577019 8595708 10028326 10939992 13154038 15042489 17191416 19731057 20056652 26308076 30084978 39462114 40113304 46039133 52616152 60169956 72347209 78924228 92078266 120339912 138117399 144694418 157848456 184156532 217041627 276234798 289388836 368313064 434083254 506430463 552469596 578777672 868166508 1012860926 1104939192 1519291389 1736333016 2025721852 3038582778 4051443704 6077165556 12154331112