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12032111130 = 23513199229677
BaseRepresentation
bin10110011010010101…
…10111001000011010
31011001112112120112120
423031022313020122
5144120210024010
65305533522110
7604111154124
oct131512671032
934045476476
1012032111130
1151148a41a6
1223b9643336
1311999c86b0
14821dba214
154a64b4e70
hex2cd2b721a

12032111130 has 128 divisors (see below), whose sum is σ = 31437504000. Its totient is φ = 2929665024.

The previous prime is 12032111101. The next prime is 12032111219. The reversal of 12032111130 is 3111123021.

It is a happy number.

12032111130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 17772352 + ... + 17773028.

It is an arithmetic number, because the mean of its divisors is an integer number (245605500).

Almost surely, 212032111130 is an apocalyptic number.

12032111130 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 12032111130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15718752000).

12032111130 is an abundant number, since it is smaller than the sum of its proper divisors (19405392870).

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

12032111130 is a wasteful number, since it uses less digits than its factorization.

12032111130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 12032111130 its reverse (3111123021), we get a palindrome (15143234151).

The spelling of 12032111130 in words is "twelve billion, thirty-two million, one hundred eleven thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 199 229 390 398 458 597 677 687 995 1145 1194 1354 1374 1990 2031 2290 2587 2977 2985 3385 3435 4062 5174 5954 5970 6770 6870 7761 8801 8931 10155 12935 14885 15522 17602 17862 20310 25870 26403 29770 38805 44005 44655 45571 52806 77610 88010 89310 91142 132015 134723 136713 155033 227855 264030 269446 273426 310066 404169 455710 465099 592423 673615 683565 775165 808338 930198 1184846 1347230 1367130 1550330 1751399 1777269 2015429 2020845 2325495 2962115 3502798 3554538 4030858 4041690 4650990 5254197 5924230 6046287 8756995 8886345 10077145 10508394 12092574 17513990 17772690 20154290 26270985 30231435 30851567 52541970 60462870 61703134 92554701 154257835 185109402 308515670 401070371 462773505 802140742 925547010 1203211113 2005351855 2406422226 4010703710 6016055565 12032111130