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1132512030 = 234513131821
BaseRepresentation
bin100001110000000…
…1100001100011110
32220221000120110000
41003200030030132
54304410341110
6304213355130
740031123226
oct10340141436
92827016400
101132512030
11531301061
12277338aa6
13150825180
14aa5a3086
15696591c0
hex4380c31e

1132512030 has 160 divisors (see below), whose sum is σ = 3308503968. Its totient is φ = 276307200.

The previous prime is 1132512023. The next prime is 1132512037. The reversal of 1132512030 is 302152311.

It is an interprime number because it is at equal distance from previous prime (1132512023) and next prime (1132512037).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1132511994 and 1132512012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1132512037) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1379020 + ... + 1379840.

Almost surely, 21132512030 is an apocalyptic number.

1132512030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1132512030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1654251984).

1132512030 is an abundant number, since it is smaller than the sum of its proper divisors (2175991938).

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

1132512030 is a wasteful number, since it uses less digits than its factorization.

1132512030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 984 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1132512030 is about 33652.8160783017. The cubic root of 1132512030 is about 1042.3516894757.

Adding to 1132512030 its reverse (302152311), we get a palindrome (1434664341).

The spelling of 1132512030 in words is "one billion, one hundred thirty-two million, five hundred twelve thousand, thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 81 90 117 130 131 135 162 195 234 262 270 351 390 393 405 585 655 702 786 810 821 1053 1170 1179 1310 1642 1703 1755 1965 2106 2358 2463 3406 3510 3537 3930 4105 4926 5109 5265 5895 7074 7389 8210 8515 10218 10530 10611 10673 11790 12315 14778 15327 17030 17685 21222 21346 22167 24630 25545 30654 32019 35370 36945 44334 45981 51090 53055 53365 64038 66501 73890 76635 91962 96057 106110 106730 107551 110835 133002 137943 153270 160095 192114 215102 221670 229905 275886 288171 320190 322653 332505 459810 480285 537755 576342 645306 665010 689715 864513 960570 967959 1075510 1379430 1398163 1440855 1613265 1729026 1935918 2796326 2881710 2903877 3226530 4194489 4322565 4839795 5807754 6990815 8388978 8645130 8711631 9679590 12583467 13981630 14519385 17423262 20972445 25166934 29038770 37750401 41944890 43558155 62917335 75500802 87116310 113251203 125834670 188752005 226502406 377504010 566256015 1132512030