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1123012530 = 232529237401
BaseRepresentation
bin100001011101111…
…1100111110110010
32220021010221120200
41002323330332302
54244442400110
6303234020030
736554310003
oct10273747662
92807127520
101123012530
11526a02a32
12274117616
1314b87a373
14a920d1aa
15688ce6c0
hex42efcfb2

1123012530 has 144 divisors (see below), whose sum is σ = 3113462664. Its totient is φ = 280627200.

The previous prime is 1123012529. The next prime is 1123012543. The reversal of 1123012530 is 352103211.

1123012530 is a `hidden beast` number, since 1 + 123 + 0 + 12 + 530 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 706974921 + 416037609 = 26589^2 + 20397^2 .

It is a super-2 number, since 2×11230125302 = 2522314285074001800, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2800330 + ... + 2800730.

Almost surely, 21123012530 is an apocalyptic number.

1123012530 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 1123012530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1556731332).

1123012530 is an abundant number, since it is smaller than the sum of its proper divisors (1990450134).

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

1123012530 is a wasteful number, since it uses less digits than its factorization.

1123012530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 477 counting only the distinct ones).

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

The square root of 1123012530 is about 33511.3791121762. The cubic root of 1123012530 is about 1039.4290906253.

Adding to 1123012530 its reverse (352103211), we get a palindrome (1475115741).

The spelling of 1123012530 in words is "one billion, one hundred twenty-three million, twelve thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 37 45 58 74 87 90 111 145 174 185 222 261 290 333 370 401 435 522 555 666 802 841 870 1073 1110 1203 1305 1665 1682 2005 2146 2406 2523 2610 3219 3330 3609 4010 4205 5046 5365 6015 6438 7218 7569 8410 9657 10730 11629 12030 12615 14837 15138 16095 18045 19314 23258 25230 29674 31117 32190 34887 36090 37845 44511 48285 58145 62234 69774 74185 75690 89022 93351 96570 104661 116290 133533 148370 155585 174435 186702 209322 222555 267066 280053 311170 337241 348870 430273 445110 466755 523305 560106 667665 674482 860546 933510 1011723 1046610 1290819 1335330 1400265 1686205 2023446 2151365 2581638 2800530 3035169 3372410 3872457 4302730 5058615 6070338 6454095 7744914 10117230 12477917 12908190 15175845 19362285 24955834 30351690 37433751 38724570 62389585 74867502 112301253 124779170 187168755 224602506 374337510 561506265 1123012530