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1201000000 = 26561201
BaseRepresentation
bin100011110010101…
…1100111001000000
310002200220010021111
41013211130321000
54424424000000
6315101333104
741522221504
oct10745347100
93080803244
101201000000
11566a2a092
12296267194
13161a846b5
14b5710304
1570686cba
hex4795ce40

1201000000 has 98 divisors (see below), whose sum is σ = 2981485274. Its totient is φ = 480000000.

The previous prime is 1200999967. The next prime is 1201000007. The reversal of 1201000000 is 1021.

It can be written as a sum of positive squares in 7 ways, for example, as 1014295104 + 186704896 = 31848^2 + 13664^2 .

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201000007) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 999400 + ... + 1000600.

Almost surely, 21201000000 is an apocalyptic number.

1201000000 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 1201000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490742637).

1201000000 is an abundant number, since it is smaller than the sum of its proper divisors (1780485274).

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

1201000000 is an frugal number, since it uses more digits than its factorization.

1201000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1243 (or 1208 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 4.

The square root of 1201000000 is about 34655.4469023269. The cubic root of 1201000000 is about 1062.9536701612.

Adding to 1201000000 its reverse (1021), we get a palindrome (1201001021).

The spelling of 1201000000 in words is "one billion, two 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 1201 1250 1600 2000 2402 2500 3125 4000 4804 5000 6005 6250 8000 9608 10000 12010 12500 15625 19216 20000 24020 25000 30025 31250 38432 40000 48040 50000 60050 62500 76864 96080 100000 120100 125000 150125 192160 200000 240200 250000 300250 384320 480400 500000 600500 750625 960800 1000000 1201000 1501250 1921600 2402000 3002500 3753125 4804000 6005000 7506250 9608000 12010000 15012500 18765625 24020000 30025000 37531250 48040000 60050000 75062500 120100000 150125000 240200000 300250000 600500000 1201000000