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130301110000 = 2454101129011
BaseRepresentation
bin111100101011010001…
…1010010011011110000
3110110022220112012220001
41321112203102123300
54113324041010000
6135505352555344
712261661106035
oct1712643223360
9413286465801
10130301110000
1150295641576
12213056b2b54
13c3973a0929
14644148b38c
1535c94e146a
hex1e568d26f0

130301110000 has 100 divisors (see below), whose sum is σ = 318597972264. Its totient is φ = 51604000000.

The previous prime is 130301109949. The next prime is 130301110007. The reversal of 130301110000 is 11103031.

130301110000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (100).

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 (130301110007) 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 19 ways as a sum of consecutive naturals, for example, 945495 + ... + 1074505.

Almost surely, 2130301110000 is an apocalyptic number.

130301110000 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 130301110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159298986132).

130301110000 is an abundant number, since it is smaller than the sum of its proper divisors (188296862264).

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

130301110000 is a wasteful number, since it uses less digits than its factorization.

130301110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129140 (or 129119 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

Adding to 130301110000 its reverse (11103031), we get a palindrome (130312213031).

The spelling of 130301110000 in words is "one hundred thirty billion, three hundred one million, one hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 101 125 200 202 250 400 404 500 505 625 808 1000 1010 1250 1616 2000 2020 2500 2525 4040 5000 5050 8080 10000 10100 12625 20200 25250 40400 50500 63125 101000 126250 129011 202000 252500 258022 505000 516044 645055 1010000 1032088 1290110 2064176 2580220 3225275 5160440 6450550 10320880 12901100 13030111 16126375 25802200 26060222 32252750 51604400 52120444 64505500 65150555 80631875 104240888 129011000 130301110 161263750 208481776 258022000 260602220 322527500 325752775 521204440 645055000 651505550 1042408880 1290110000 1303011100 1628763875 2606022200 3257527750 5212044400 6515055500 8143819375 13030111000 16287638750 26060222000 32575277500 65150555000 130301110000