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1200000200 = 235272122449
BaseRepresentation
bin100011110000110…
…1000110011001000
310002122000022210212
41013201220303020
54424200001300
6315024100252
741510555600
oct10741506310
93078008725
101200000200
11566406a03
12295a64688
131617c45b9
14b552dc00
157053a935
hex47868cc8

1200000200 has 72 divisors (see below), whose sum is σ = 3245537250. Its totient is φ = 411425280.

The previous prime is 1200000163. The next prime is 1200000203. The reversal of 1200000200 is 20000021.

It can be written as a sum of positive squares in 3 ways, for example, as 534256996 + 665743204 = 23114^2 + 25802^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1200000203) 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 17 ways as a sum of consecutive naturals, for example, 51425 + ... + 71024.

Almost surely, 21200000200 is an apocalyptic number.

1200000200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1200000200 is an abundant number, since it is smaller than the sum of its proper divisors (2045537050).

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

1200000200 is a wasteful number, since it uses less digits than its factorization.

1200000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122479 (or 122463 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

The square root of 1200000200 is about 34641.0190381288. The cubic root of 1200000200 is about 1062.6586282192.

Adding to 1200000200 its reverse (20000021), we get a palindrome (1220000221).

The spelling of 1200000200 in words is "one billion, two hundred million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 175 196 200 245 280 350 392 490 700 980 1225 1400 1960 2450 4900 9800 122449 244898 489796 612245 857143 979592 1224490 1714286 2448980 3061225 3428572 4285715 4897960 6000001 6122450 6857144 8571430 12000002 12244900 17142860 21428575 24000004 24489800 30000005 34285720 42857150 48000008 60000010 85714300 120000020 150000025 171428600 240000040 300000050 600000100 1200000200