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112520312130 = 235178915116417
BaseRepresentation
bin110100011001010111…
…0111011010101000010
3101202102201211002122210
41220302232323111002
53320420144442010
6123405140442550
711062233605142
oct1506256732502
9352381732583
10112520312130
11437a08679a6
12199829a9456
13a7c26bb865
145635c00922
152dd84d6b20
hex1a32bbb542

112520312130 has 128 divisors (see below), whose sum is σ = 291079319040. Its totient is φ = 27736473600.

The previous prime is 112520312111. The next prime is 112520312143. The reversal of 112520312130 is 31213025211.

It is a junction number, because it is equal to n+sod(n) for n = 112520312097 and 112520312106.

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 63 ways as a sum of consecutive naturals, for example, 6845682 + ... + 6862098.

It is an arithmetic number, because the mean of its divisors is an integer number (2274057180).

Almost surely, 2112520312130 is an apocalyptic number.

112520312130 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 112520312130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145539659520).

112520312130 is an abundant number, since it is smaller than the sum of its proper divisors (178559006910).

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

112520312130 is a wasteful number, since it uses less digits than its factorization.

112520312130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16684.

The product of its (nonzero) digits is 360, while the sum is 21.

Adding to 112520312130 its reverse (31213025211), we get a palindrome (143733337341).

The spelling of 112520312130 in words is "one hundred twelve billion, five hundred twenty million, three hundred twelve thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 89 102 151 170 178 255 267 302 445 453 510 534 755 890 906 1335 1510 1513 2265 2567 2670 3026 4530 4539 5134 7565 7701 9078 12835 13439 15130 15402 16417 22695 25670 26878 32834 38505 40317 45390 49251 67195 77010 80634 82085 98502 134390 164170 201585 228463 246255 279089 403170 456926 492510 558178 685389 837267 1142315 1370778 1395445 1461113 1674534 2284630 2478967 2790890 2922226 3426945 4186335 4383339 4957934 6853890 7305565 7436901 8372670 8766678 12394835 14611130 14873802 21916695 24789670 24838921 37184505 42142439 43833390 49677842 74369010 74516763 84284878 124194605 126427317 149033526 210712195 220628063 248389210 252854634 372583815 421424390 441256126 632136585 661884189 745167630 1103140315 1264273170 1323768378 2206280630 3309420945 3750677071 6618841890 7501354142 11252031213 18753385355 22504062426 37506770710 56260156065 112520312130