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2231231130 = 233517736659
BaseRepresentation
bin1000010011111101…
…1110001010011010
312202111110021201000
42010333132022122
514032143344010
61005223005430
7106202103012
oct20477361232
95674407630
102231231130
11a45520a77
12523299876
13297347b0b
1417248ac42
15d0d3a7c0
hex84fde29a

2231231130 has 128 divisors (see below), whose sum is σ = 6387206400. Its totient is φ = 552241152.

The previous prime is 2231231069. The next prime is 2231231179. The reversal of 2231231130 is 311321322.

It is a super-3 number, since 3×22312311303 (a number of 29 digits) contains 333 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 (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 331741 + ... + 338399.

It is an arithmetic number, because the mean of its divisors is an integer number (49900050).

Almost surely, 22231231130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2231231130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3193603200).

2231231130 is an abundant number, since it is smaller than the sum of its proper divisors (4155975270).

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

2231231130 is a wasteful number, since it uses less digits than its factorization.

2231231130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6765 (or 6759 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2231231130 is about 47235.9093275444. The cubic root of 2231231130 is about 1306.7169368270.

Adding to 2231231130 its reverse (311321322), we get a palindrome (2542552452).

The spelling of 2231231130 in words is "two billion, two hundred thirty-one million, two hundred thirty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 73 85 90 102 135 146 153 170 219 255 270 306 365 438 459 510 657 730 765 918 1095 1241 1314 1530 1971 2190 2295 2482 3285 3723 3942 4590 6205 6570 6659 7446 9855 11169 12410 13318 18615 19710 19977 22338 33295 33507 37230 39954 55845 59931 66590 67014 99885 111690 113203 119862 167535 179793 199770 226406 299655 335070 339609 359586 486107 566015 599310 679218 898965 972214 1018827 1132030 1458321 1698045 1797930 2037654 2430535 2916642 3056481 3396090 4374963 4861070 5094135 6112962 7291605 8263819 8749926 10188270 13124889 14583210 15282405 16527638 21874815 24791457 26249778 30564810 41319095 43749630 49582914 65624445 74374371 82638190 123957285 131248890 148748742 223123113 247914570 371871855 446246226 743743710 1115615565 2231231130