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1130022120 = 233529443733
BaseRepresentation
bin100001101011010…
…1100010011101000
32220202100001221010
41003112230103220
54303241201440
6304044143520
740001013063
oct10326542350
92822301833
101130022120
1152a960387
12276537ba0
13150162a56
14aa1158da
1569316580
hex435ac4e8

1130022120 has 128 divisors (see below), whose sum is σ = 3519676800. Its totient is φ = 289895424.

The previous prime is 1130022077. The next prime is 1130022121. The reversal of 1130022120 is 212200311.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1130022096 and 1130022105.

It is not an unprimeable number, because it can be changed into a prime (1130022121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1541274 + ... + 1542006.

It is an arithmetic number, because the mean of its divisors is an integer number (27497475).

Almost surely, 21130022120 is an apocalyptic number.

1130022120 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 1130022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1759838400).

1130022120 is an abundant number, since it is smaller than the sum of its proper divisors (2389654680).

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

1130022120 is a wasteful number, since it uses less digits than its factorization.

1130022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1219 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1130022120 is about 33615.8016414900. The cubic root of 1130022120 is about 1041.5872336514.

Adding to 1130022120 its reverse (212200311), we get a palindrome (1342222431).

The spelling of 1130022120 in words is "one billion, one hundred thirty million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 443 580 696 733 870 886 1160 1329 1466 1740 1772 2199 2215 2658 2932 3480 3544 3665 4398 4430 5316 5864 6645 7330 8796 8860 10632 10995 12847 13290 14660 17592 17720 21257 21990 25694 26580 29320 38541 42514 43980 51388 53160 63771 64235 77082 85028 87960 102776 106285 127542 128470 154164 170056 192705 212570 255084 256940 308328 318855 324719 385410 425140 510168 513880 637710 649438 770820 850280 974157 1275420 1298876 1541640 1623595 1948314 2550840 2597752 3247190 3896628 4870785 6494380 7793256 9416851 9741570 12988760 18833702 19483140 28250553 37667404 38966280 47084255 56501106 75334808 94168510 113002212 141252765 188337020 226004424 282505530 376674040 565011060 1130022120