Search a number
-
+
1124212223112 = 2331129146840677
BaseRepresentation
bin10000010111000000010…
…001010010110010001000
310222110210021122010210220
4100113000101102302020
5121404341312114422
62220242253310040
7144136012141206
oct20270021226210
93873707563726
101124212223112
113a3859545640
12161a68495320
138202204b304
143c5aad88076
151e39b412e5c
hex105c0452c88

1124212223112 has 64 divisors (see below), whose sum is σ = 3171758644800. Its totient is φ = 328923114240.

The previous prime is 1124212223111. The next prime is 1124212223117. The reversal of 1124212223112 is 2113222124211.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1124212223111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73412683 + ... + 73427994.

It is an arithmetic number, because the mean of its divisors is an integer number (49558728825).

Almost surely, 21124212223112 is an apocalyptic number.

1124212223112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1124212223112 is an abundant number, since it is smaller than the sum of its proper divisors (2047546421688).

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

1124212223112 is a wasteful number, since it uses less digits than its factorization.

1124212223112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146840726 (or 146840722 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

Adding to 1124212223112 its reverse (2113222124211), we get a palindrome (3237434347323).

The spelling of 1124212223112 in words is "one trillion, one hundred twenty-four billion, two hundred twelve million, two hundred twenty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 29 33 44 58 66 87 88 116 132 174 232 264 319 348 638 696 957 1276 1914 2552 3828 7656 146840677 293681354 440522031 587362708 881044062 1174725416 1615247447 1762088124 3230494894 3524176248 4258379633 4845742341 6460989788 8516759266 9691484682 12775138899 12921979576 17033518532 19382969364 25550277798 34067037064 38765938728 46842175963 51100555596 93684351926 102201111192 140526527889 187368703852 281053055778 374737407704 562106111556 1124212223112