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2300113312 = 25726132393
BaseRepresentation
bin1000100100011000…
…1111000110100000
312221022001212021221
42021012033012200
514202312111222
61020123224424
7110666432500
oct21106170640
95838055257
102300113312
11a803991a2
12542378114
132a86b48c3
1417b69ba00
15d6de50c7
hex8918f1a0

2300113312 has 72 divisors (see below), whose sum is σ = 5278468356. Its totient is φ = 983743488.

The previous prime is 2300113303. The next prime is 2300113331. The reversal of 2300113312 is 2133110032.

It can be written as a sum of positive squares in 2 ways, for example, as 1380568336 + 919544976 = 37156^2 + 30324^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 959988 + ... + 962380.

Almost surely, 22300113312 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 2300113312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2639234178).

2300113312 is an abundant number, since it is smaller than the sum of its proper divisors (2978355044).

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

2300113312 is a wasteful number, since it uses less digits than its factorization.

2300113312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3030 (or 3015 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 2300113312 is about 47959.4965778416. The cubic root of 2300113312 is about 1320.0277986187.

Adding to 2300113312 its reverse (2133110032), we get a palindrome (4433223344).

The spelling of 2300113312 in words is "two billion, three hundred million, one hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 613 784 1226 1568 2393 2452 4291 4786 4904 8582 9572 9808 16751 17164 19144 19616 30037 33502 34328 38288 60074 67004 68656 76576 117257 120148 134008 137312 234514 240296 268016 469028 480592 536032 938056 961184 1466909 1876112 2933818 3752224 5867636 10268363 11735272 20536726 23470544 41073452 46941088 71878541 82146904 143757082 164293808 287514164 328587616 575028328 1150056656 2300113312