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12130031340 = 22335724491021
BaseRepresentation
bin10110100110000000…
…11001011011101100
31011022100210102211000
423103000121123230
5144320242000330
65323352400300
7606410364600
oct132300313354
934270712730
1012130031340
1151650a5099
1224263a6090
1311b409164b
14830dc9500
154aeda8560
hex2d30196ec

12130031340 has 288 divisors, whose sum is σ = 44040024000. Its totient is φ = 2763694080.

The previous prime is 12130031339. The next prime is 12130031351. The reversal of 12130031340 is 4313003121.

12130031340 is a `hidden beast` number, since 1 + 21 + 300 + 3 + 1 + 340 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11880030 + ... + 11881050.

It is an arithmetic number, because the mean of its divisors is an integer number (152916750).

Almost surely, 212130031340 is an apocalyptic number.

12130031340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12130031340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22020012000).

12130031340 is an abundant number, since it is smaller than the sum of its proper divisors (31909992660).

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

12130031340 is a wasteful number, since it uses less digits than its factorization.

12130031340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1502 (or 1487 counting only the distinct ones).

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

Adding to 12130031340 its reverse (4313003121), we get a palindrome (16443034461).

The spelling of 12130031340 in words is "twelve billion, one hundred thirty million, thirty-one thousand, three hundred forty".