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111211342224 = 24337147142569
BaseRepresentation
bin110011110010010110…
…1100110100110010000
3101122001111202112111220
41213210231212212100
53310230100422344
6123031221005040
711014630545303
oct1474455464620
9348044675456
10111211342224
11431899a3494
1219678553780
13a644462b58
145550026b3a
152d5d623c19
hex19e4b66990

111211342224 has 80 divisors (see below), whose sum is σ = 295268244480. Its totient is φ = 36043176960.

The previous prime is 111211342223. The next prime is 111211342247. The reversal of 111211342224 is 422243112111.

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 a junction number, because it is equal to n+sod(n) for n = 111211342194 and 111211342203.

It is not an unprimeable number, because it can be changed into a prime (111211342223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2591212 + ... + 2633780.

It is an arithmetic number, because the mean of its divisors is an integer number (3690853056).

Almost surely, 2111211342224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111211342224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147634122240).

111211342224 is an abundant number, since it is smaller than the sum of its proper divisors (184056902256).

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

111211342224 is a wasteful number, since it uses less digits than its factorization.

111211342224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44088 (or 44082 counting only the distinct ones).

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

Adding to 111211342224 its reverse (422243112111), we get a palindrome (533454454335).

The spelling of 111211342224 in words is "one hundred eleven billion, two hundred eleven million, three hundred forty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 296 444 592 888 1471 1776 2942 4413 5884 8826 11768 17652 23536 35304 42569 54427 70608 85138 108854 127707 163281 170276 217708 255414 326562 340552 435416 510828 653124 681104 870832 1021656 1306248 1575053 2043312 2612496 3150106 4725159 6300212 9450318 12600424 18900636 25200848 37801272 62618999 75602544 125237998 187856997 250475996 375713994 500951992 751427988 1001903984 1502855976 2316902963 3005711952 4633805926 6950708889 9267611852 13901417778 18535223704 27802835556 37070447408 55605671112 111211342224