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1301550000 = 243558677
BaseRepresentation
bin100110110010100…
…0001001110110000
310100201002120221120
41031211001032300
510131144100000
6333052422240
744152664262
oct11545011660
93321076846
101301550000
11608766863
12303a77980
1317985b63a
14c4c05b32
15793e96a0
hex4d9413b0

1301550000 has 120 divisors (see below), whose sum is σ = 4203137232. Its totient is φ = 347040000.

The previous prime is 1301549993. The next prime is 1301550001. The reversal of 1301550000 is 551031.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (1301550001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145662 + ... + 154338.

Almost surely, 21301550000 is an apocalyptic number.

1301550000 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 1301550000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2101568616).

1301550000 is an abundant number, since it is smaller than the sum of its proper divisors (2901587232).

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

1301550000 is an frugal number, since it uses more digits than its factorization.

1301550000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8713 (or 8687 counting only the distinct ones).

The product of its (nonzero) digits is 75, while the sum is 15.

The square root of 1301550000 is about 36077.0009840064. Note that the first 3 decimals coincide. The cubic root of 1301550000 is about 1091.8264694939.

The spelling of 1301550000 in words is "one billion, three hundred one million, five hundred fifty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2500 3000 3125 3750 5000 6000 6250 7500 8677 9375 10000 12500 15000 17354 18750 25000 26031 30000 34708 37500 43385 50000 52062 69416 75000 86770 104124 130155 138832 150000 173540 208248 216925 260310 347080 416496 433850 520620 650775 694160 867700 1041240 1084625 1301550 1735400 2082480 2169250 2603100 3253875 3470800 4338500 5206200 5423125 6507750 8677000 10412400 10846250 13015500 16269375 17354000 21692500 26031000 27115625 32538750 43385000 52062000 54231250 65077500 81346875 86770000 108462500 130155000 162693750 216925000 260310000 325387500 433850000 650775000 1301550000