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112300106432 = 269758730817
BaseRepresentation
bin110100010010110011…
…0111010001011000000
3101201212101110111020012
41220211212322023000
53314442311401212
6123331233004052
711053621104053
oct1504546721300
9351771414205
10112300106432
1143698534118
12199210b3628
13a788bab627
14561487ca9a
152dc3eda922
hex1a259ba2c0

112300106432 has 56 divisors (see below), whose sum is σ = 225533766864. Its totient is φ = 55474716672.

The previous prime is 112300106417. The next prime is 112300106587. The reversal of 112300106432 is 234601003211.

It is a super-2 number, since 2×1123001064322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112300106398 and 112300106407.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3628688 + ... + 3659504.

It is an arithmetic number, because the mean of its divisors is an integer number (4027388694).

Almost surely, 2112300106432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112300106432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112766883432).

112300106432 is an abundant number, since it is smaller than the sum of its proper divisors (113233660432).

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

112300106432 is an equidigital number, since it uses as much as digits as its factorization.

112300106432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31513 (or 31503 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 112300106432 its reverse (234601003211), we get a palindrome (346901109643).

The spelling of 112300106432 in words is "one hundred twelve billion, three hundred million, one hundred six thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 97 194 388 587 776 1174 1552 2348 3104 4696 6208 9392 18784 30817 37568 56939 61634 113878 123268 227756 246536 455512 493072 911024 986144 1822048 1972288 2989249 3644096 5978498 11956996 18089579 23913992 36179158 47827984 72358316 95655968 144716632 191311936 289433264 578866528 1157733056 1754689163 3509378326 7018756652 14037513304 28075026608 56150053216 112300106432