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1130101120 = 27510117483
BaseRepresentation
bin100001101011011…
…1111100110000000
32220202111002022001
41003112333212000
54303301213440
6304045553344
740001462311
oct10326774600
92822432261
101130101120
1152aa04775
12276575854
1315018c9b5
14aa136608
156932eb9a
hex435bf980

1130101120 has 64 divisors (see below), whose sum is σ = 2728553040. Its totient is φ = 447539200.

The previous prime is 1130101111. The next prime is 1130101123. The reversal of 1130101120 is 211010311.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1130101097 and 1130101106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130101123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55899 + ... + 73381.

Almost surely, 21130101120 is an apocalyptic number.

1130101120 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 1130101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1364276520).

1130101120 is an abundant number, since it is smaller than the sum of its proper divisors (1598451920).

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

1130101120 is a wasteful number, since it uses less digits than its factorization.

1130101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17603 (or 17591 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

The square root of 1130101120 is about 33616.9766635847. The cubic root of 1130101120 is about 1041.6115055875.

Adding to 1130101120 its reverse (211010311), we get a palindrome (1341111431).

The spelling of 1130101120 in words is "one billion, one hundred thirty million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 101 128 160 202 320 404 505 640 808 1010 1616 2020 3232 4040 6464 8080 12928 16160 17483 32320 34966 64640 69932 87415 139864 174830 279728 349660 559456 699320 1118912 1398640 1765783 2237824 2797280 3531566 5594560 7063132 8828915 11189120 14126264 17657830 28252528 35315660 56505056 70631320 113010112 141262640 226020224 282525280 565050560 1130101120