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300013232112 = 2432111061178513
BaseRepresentation
bin1000101110110100010…
…11101001111111110000
31001200101102211021210100
410113122023221333300
514403411341411422
6345454004432400
730450415253046
oct4273213517760
91050342737710
10300013232112
11106264714830
124a1899a8700
13223a27b2669
1410740bc8396
157c0d9247ac
hex45da2e9ff0

300013232112 has 120 divisors (see below), whose sum is σ = 916817913648. Its totient is φ = 90826905600.

The previous prime is 300013232093. The next prime is 300013232137. The reversal of 300013232112 is 211232310003.

300013232112 is a `hidden beast` number, since 300 + 0 + 1 + 32 + 321 + 12 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1591368 + ... + 1769880.

Almost surely, 2300013232112 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 300013232112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458408956824).

300013232112 is an abundant number, since it is smaller than the sum of its proper divisors (616804681536).

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

300013232112 is a wasteful number, since it uses less digits than its factorization.

300013232112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179599 (or 179590 counting only the distinct ones).

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

Adding to 300013232112 its reverse (211232310003), we get a palindrome (511245542115).

The spelling of 300013232112 in words is "three hundred billion, thirteen million, two hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1061 1584 2122 3183 4244 6366 8488 9549 11671 12732 16976 19098 23342 25464 35013 38196 46684 50928 70026 76392 93368 105039 140052 152784 178513 186736 210078 280104 357026 420156 535539 560208 714052 840312 1071078 1428104 1606617 1680624 1963643 2142156 2856208 3213234 3927286 4284312 5890929 6426468 7854572 8568624 11781858 12852936 15709144 17672787 23563716 25705872 31418288 35345574 47127432 70691148 94254864 141382296 189402293 282764592 378804586 568206879 757609172 1136413758 1515218344 1704620637 2083425223 2272827516 3030436688 3409241274 4166850446 4545655032 6250275669 6818482548 8333700892 9091310064 12500551338 13636965096 16667401784 18750827007 25001102676 27273930192 33334803568 37501654014 50002205352 75003308028 100004410704 150006616056 300013232112