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1301000000 = 26561301
BaseRepresentation
bin100110110001011…
…1010111101000000
310100200001122111012
41031202322331000
510131024000000
6333032540052
744145213626
oct11542727500
93320048435
101301000000
11608420613
12303851628
131796c81b1
14c4b01516
157933b735
hex4d8baf40

1301000000 has 98 divisors (see below), whose sum is σ = 3229528974. Its totient is φ = 520000000.

The previous prime is 1300999993. The next prime is 1301000039. The reversal of 1301000000 is 1031.

It can be written as a sum of positive squares in 7 ways, for example, as 1097994496 + 203005504 = 33136^2 + 14248^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 999350 + ... + 1000650.

Almost surely, 21301000000 is an apocalyptic number.

1301000000 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 1301000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1614764487).

1301000000 is an abundant number, since it is smaller than the sum of its proper divisors (1928528974).

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

1301000000 is an frugal number, since it uses more digits than its factorization.

1301000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1343 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 5.

The square root of 1301000000 is about 36069.3775937429. The cubic root of 1301000000 is about 1091.6726556658.

Adding to 1301000000 its reverse (1031), we get a palindrome (1301001031).

The spelling of 1301000000 in words is "one billion, three hundred one million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1301 1600 2000 2500 2602 3125 4000 5000 5204 6250 6505 8000 10000 10408 12500 13010 15625 20000 20816 25000 26020 31250 32525 40000 41632 50000 52040 62500 65050 83264 100000 104080 125000 130100 162625 200000 208160 250000 260200 325250 416320 500000 520400 650500 813125 1000000 1040800 1301000 1626250 2081600 2602000 3252500 4065625 5204000 6505000 8131250 10408000 13010000 16262500 20328125 26020000 32525000 40656250 52040000 65050000 81312500 130100000 162625000 260200000 325250000 650500000 1301000000