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1122311120 = 24574742641
BaseRepresentation
bin100001011100101…
…0001101111010000
32220012211022102112
41002321101233100
54244302423440
6303211004452
736545326040
oct10271215720
92805738375
101122311120
11526573a57
12273a39728
1314b693028
14a90a9720
15687e1965
hex42e51bd0

1122311120 has 80 divisors (see below), whose sum is σ = 3045662208. Its totient is φ = 376596480.

The previous prime is 1122311119. The next prime is 1122311131. The reversal of 1122311120 is 211132211.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 1122311095 and 1122311104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5000 + ... + 47640.

Almost surely, 21122311120 is an apocalyptic number.

1122311120 is a gapful number since it is divisible by the number (10) 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 1122311120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1522831104).

1122311120 is an abundant number, since it is smaller than the sum of its proper divisors (1923351088).

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

1122311120 is a wasteful number, since it uses less digits than its factorization.

1122311120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42708 (or 42702 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

The square root of 1122311120 is about 33500.9122263857. The cubic root of 1122311120 is about 1039.2126437089.

Adding to 1122311120 its reverse (211132211), we get a palindrome (1333443331).

The spelling of 1122311120 in words is "one billion, one hundred twenty-two million, three hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 47 56 70 80 94 112 140 188 235 280 329 376 470 560 658 752 940 1316 1645 1880 2632 3290 3760 5264 6580 13160 26320 42641 85282 170564 213205 298487 341128 426410 596974 682256 852820 1193948 1492435 1705640 2004127 2387896 2984870 3411280 4008254 4775792 5969740 8016508 10020635 11939480 14028889 16033016 20041270 23878960 28057778 32066032 40082540 56115556 70144445 80165080 112231112 140288890 160330160 224462224 280577780 561155560 1122311120