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301100053050 = 232522938036067
BaseRepresentation
bin1000110000110101111…
…01100011001000111010
31001210012011212111211200
410120122331203020322
514413123103144200
6350153511035030
730516353136156
oct4303275431072
91053164774750
10301100053050
11106772148455
124a43196ba76
13225169ca784
1410805296066
157c74055800
hex461af6323a

301100053050 has 144 divisors (see below), whose sum is σ = 837208513440. Its totient is φ = 77491451520.

The previous prime is 301100053049. The next prime is 301100053057. The reversal of 301100053050 is 50350001103.

It is a happy number.

301100053050 is a `hidden beast` number, since 30 + 1 + 100 + 0 + 530 + 5 + 0 = 666.

It is a super-2 number, since 2×3011000530502 (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (301100053057) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 49626117 + ... + 49632183.

It is an arithmetic number, because the mean of its divisors is an integer number (5813948010).

Almost surely, 2301100053050 is an apocalyptic number.

301100053050 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 301100053050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418604256720).

301100053050 is an abundant number, since it is smaller than the sum of its proper divisors (536108460390).

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

301100053050 is a wasteful number, since it uses less digits than its factorization.

301100053050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9917 (or 9909 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

Adding to 301100053050 its reverse (50350001103), we get a palindrome (351450054153).

It can be divided in two parts, 3011000 and 53050, that added together give a triangular number (3064050 = T2475).

The spelling of 301100053050 in words is "three hundred one billion, one hundred million, fifty-three thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 29 30 45 50 58 75 87 90 145 150 174 225 261 290 435 450 522 725 870 1305 1450 2175 2610 3803 4350 6067 6525 7606 11409 12134 13050 18201 19015 22818 30335 34227 36402 38030 54603 57045 60670 68454 91005 95075 109206 110287 114090 151675 171135 175943 182010 190150 220574 273015 285225 303350 330861 342270 351886 455025 527829 546030 551435 570450 661722 855675 879715 910050 992583 1055658 1102870 1365075 1583487 1654305 1711350 1759430 1985166 2639145 2730150 2757175 3166974 3308610 4398575 4962915 5278290 5514350 7917435 8271525 8797150 9925830 13195725 15834870 16543050 23072801 24814575 26391450 39587175 46145602 49629150 69218403 79174350 115364005 138436806 207655209 230728010 346092015 415310418 576820025 669111229 692184030 1038276045 1153640050 1338222458 1730460075 2007333687 2076552090 3345556145 3460920150 4014667374 5191380225 6022001061 6691112290 10036668435 10382760450 12044002122 16727780725 20073336870 30110005305 33455561450 50183342175 60220010610 100366684350 150550026525 301100053050