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1202000324 = 227312116563
BaseRepresentation
bin100011110100101…
…0001000111000100
310002202202221110112
41013221101013010
54430203002244
6315135012152
741533556060
oct10751210704
93082687415
101202000324
115675526a8
1229666a058
13162044ac5
14b58d0aa0
15707d339e
hex47a511c4

1202000324 has 48 divisors (see below), whose sum is σ = 2493689856. Its totient is φ = 496087200.

The previous prime is 1202000311. The next prime is 1202000339. The reversal of 1202000324 is 4230002021.

It is a super-2 number, since 2×12020003242 = 2889609557792209952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 1202000299 and 1202000308.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 179867 + ... + 186429.

It is an arithmetic number, because the mean of its divisors is an integer number (51951872).

Almost surely, 21202000324 is an apocalyptic number.

1202000324 is a gapful number since it is divisible by the number (14) 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 1202000324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1246844928).

1202000324 is an abundant number, since it is smaller than the sum of its proper divisors (1291689532).

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

1202000324 is a wasteful number, since it uses less digits than its factorization.

1202000324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6816 (or 6814 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 1202000324 is about 34669.8763193640. The cubic root of 1202000324 is about 1063.2487029098.

Adding to 1202000324 its reverse (4230002021), we get a palindrome (5432002345).

The spelling of 1202000324 in words is "one billion, two hundred two million, three hundred twenty-four", and thus it is an aban number.

Divisors: 1 2 4 7 14 28 31 62 124 211 217 422 434 844 868 1477 2954 5908 6541 6563 13082 13126 26164 26252 45787 45941 91574 91882 183148 183764 203453 406906 813812 1384793 1424171 2769586 2848342 5539172 5696684 9693551 19387102 38774204 42928583 85857166 171714332 300500081 601000162 1202000324