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1301200000 = 27553253
BaseRepresentation
bin100110110001110…
…1011110010000000
310100200102210211121
41031203223302000
510131101400000
6333041122024
744150006002
oct11543536200
93320383747
101301200000
11608547901
12303929314
13179768239
14c4b54372
157937ab1a
hex4d8ebc80

1301200000 has 96 divisors (see below), whose sum is σ = 3241081620. Its totient is φ = 520320000.

The previous prime is 1301199997. The next prime is 1301200003. The reversal of 1301200000 is 21031.

It is an interprime number because it is at equal distance from previous prime (1301199997) and next prime (1301200003).

It can be written as a sum of positive squares in 6 ways, for example, as 10816 + 1301189184 = 104^2 + 36072^2 .

It is not an unprimeable number, because it can be changed into a prime (1301200003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 398374 + ... + 401626.

Almost surely, 21301200000 is an apocalyptic number.

1301200000 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 1301200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1620540810).

1301200000 is an abundant number, since it is smaller than the sum of its proper divisors (1939881620).

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

1301200000 is an frugal number, since it uses more digits than its factorization.

1301200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3292 (or 3260 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 1301200000 is about 36072.1499220659. The cubic root of 1301200000 is about 1091.7285929817.

Adding to 1301200000 its reverse (21031), we get a palindrome (1301221031).

The spelling of 1301200000 in words is "one billion, three hundred one million, two hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3125 3200 3253 4000 5000 6250 6506 8000 10000 12500 13012 16000 16265 20000 25000 26024 32530 40000 50000 52048 65060 80000 81325 100000 104096 130120 162650 200000 208192 260240 325300 400000 406625 416384 520480 650600 813250 1040960 1301200 1626500 2033125 2081920 2602400 3253000 4066250 5204800 6506000 8132500 10165625 10409600 13012000 16265000 20331250 26024000 32530000 40662500 52048000 65060000 81325000 130120000 162650000 260240000 325300000 650600000 1301200000