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12302231130 = 233576797151
BaseRepresentation
bin10110111010100010…
…10010011001011010
31011202100211002112000
423131101102121122
5200143332344010
65352423301430
7613601145030
oct133521223132
934670732460
1012302231130
11524331a372
122473baa876
131210964007
14849c12550
154c00707c0
hex2dd45265a

12302231130 has 128 divisors (see below), whose sum is σ = 38052495360. Its totient is φ = 2769940800.

The previous prime is 12302231119. The next prime is 12302231147. The reversal of 12302231130 is 3113220321.

12302231130 is a `hidden beast` number, since 1 + 2 + 302 + 231 + 130 = 666.

12302231130 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 (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, 78055 + ... + 175205.

It is an arithmetic number, because the mean of its divisors is an integer number (297285120).

Almost surely, 212302231130 is an apocalyptic number.

12302231130 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 12302231130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19026247680).

12302231130 is an abundant number, since it is smaller than the sum of its proper divisors (25750264230).

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

12302231130 is a wasteful number, since it uses less digits than its factorization.

12302231130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97241 (or 97235 counting only the distinct ones).

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

Adding to 12302231130 its reverse (3113220321), we get a palindrome (15415451451).

The spelling of 12302231130 in words is "twelve billion, three hundred two million, two hundred thirty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 67 70 90 105 126 134 135 189 201 210 270 315 335 378 402 469 603 630 670 938 945 1005 1206 1407 1809 1890 2010 2345 2814 3015 3618 4221 4690 6030 7035 8442 9045 12663 14070 18090 21105 25326 42210 63315 97151 126630 194302 291453 485755 582906 680057 874359 971510 1360114 1457265 1748718 2040171 2623077 2914530 3400285 4080342 4371795 5246154 6120513 6509117 6800570 8743590 10200855 12241026 13018234 13115385 18361539 19527351 20401710 26230770 30602565 32545585 36723078 39054702 45563819 58582053 61205130 65091170 91127638 91807695 97636755 117164106 136691457 175746159 183615390 195273510 227819095 273382914 292910265 351492318 410074371 455638190 585820530 683457285 820148742 878730795 1230223113 1366914570 1757461590 2050371855 2460446226 4100743710 6151115565 12302231130