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12000301300 = 22521324991423
BaseRepresentation
bin10110010110100011…
…00001000011110100
31010222022200110122201
423023101201003310
5144034034120200
65302440034244
7603243610111
oct131321410364
933868613581
1012000301300
1150a8947a89
1223aaa62984
13119323ba00
1481ba99908
154a37cec6a
hex2cb4610f4

12000301300 has 108 divisors (see below), whose sum is σ = 28274232000. Its totient is φ = 4418893440.

The previous prime is 12000301289. The next prime is 12000301301. The reversal of 12000301300 is 310300021.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12000301301) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8432389 + ... + 8433811.

Almost surely, 212000301300 is an apocalyptic number.

12000301300 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 12000301300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14137116000).

12000301300 is an abundant number, since it is smaller than the sum of its proper divisors (16273930700).

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

12000301300 is a wasteful number, since it uses less digits than its factorization.

12000301300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1962 (or 1942 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 12000301300 its reverse (310300021), we get a palindrome (12310601321).

The spelling of 12000301300 in words is "twelve billion, three hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 169 260 325 338 499 650 676 845 998 1300 1423 1690 1996 2495 2846 3380 4225 4990 5692 6487 7115 8450 9980 12475 12974 14230 16900 18499 24950 25948 28460 32435 35575 36998 49900 64870 71150 73996 84331 92495 129740 142300 162175 168662 184990 240487 324350 337324 369980 421655 462475 480974 648700 710077 843310 924950 961948 1202435 1420154 1686620 1849900 2108275 2404870 2840308 3550385 4216550 4809740 6012175 7100770 8433100 9231001 12024350 14201540 17751925 18462002 24048700 35503850 36924004 46155005 71007700 92310010 120003013 184620020 230775025 240006026 461550050 480012052 600015065 923100100 1200030130 2400060260 3000075325 6000150650 12000301300