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130653441300 = 223524110622231
BaseRepresentation
bin111100110101110001…
…1010100110100010100
3110111020110111111120110
41321223203110310110
54120034240110200
6140004340403020
712303466633014
oct1715343246424
9414213444513
10130653441300
1150456509268
12213a36a6470
13c422391ca5
1464761a3c44
1535ea3dab50
hex1e6b8d4d14

130653441300 has 72 divisors (see below), whose sum is σ = 387244089792. Its totient is φ = 33991136000.

The previous prime is 130653441263. The next prime is 130653441307. The reversal of 130653441300 is 3144356031.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130653441307) 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 23 ways as a sum of consecutive naturals, for example, 5298816 + ... + 5323415.

It is an arithmetic number, because the mean of its divisors is an integer number (5378390136).

Almost surely, 2130653441300 is an apocalyptic number.

130653441300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130653441300 is an abundant number, since it is smaller than the sum of its proper divisors (256590648492).

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

130653441300 is a wasteful number, since it uses less digits than its factorization.

130653441300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10622289 (or 10622282 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 130653441300 its reverse (3144356031), we get a palindrome (133797797331).

The spelling of 130653441300 in words is "one hundred thirty billion, six hundred fifty-three million, four hundred forty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 41 50 60 75 82 100 123 150 164 205 246 300 410 492 615 820 1025 1230 2050 2460 3075 4100 6150 12300 10622231 21244462 31866693 42488924 53111155 63733386 106222310 127466772 159333465 212444620 265555775 318666930 435511471 531111550 637333860 796667325 871022942 1062223100 1306534413 1593334650 1742045884 2177557355 2613068826 3186669300 4355114710 5226137652 6532672065 8710229420 10887786775 13065344130 21775573550 26130688260 32663360325 43551147100 65326720650 130653441300