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1200101316 = 223298341549
BaseRepresentation
bin100011110001000…
…0001011111000100
310002122012110111220
41013202001133010
54424211220231
6315030200340
741511456441
oct10742013704
93078173456
101200101316
11566475977
12295ab30b0
1316182b62b
14b55589c8
157055a896
hex478817c4

1200101316 has 48 divisors (see below), whose sum is σ = 2931768000. Its totient is φ = 381576832.

The previous prime is 1200101311. The next prime is 1200101317. The reversal of 1200101316 is 6131010021.

It is a junction number, because it is equal to n+sod(n) for n = 1200101295 and 1200101304.

It is not an unprimeable number, because it can be changed into a prime (1200101311) 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 15 ways as a sum of consecutive naturals, for example, 8110 + ... + 49658.

It is an arithmetic number, because the mean of its divisors is an integer number (61078500).

Almost surely, 21200101316 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1200101316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1465884000).

1200101316 is an abundant number, since it is smaller than the sum of its proper divisors (1731666684).

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

1200101316 is a wasteful number, since it uses less digits than its factorization.

1200101316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41668 (or 41666 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 1200101316 is about 34642.4784910087. The cubic root of 1200101316 is about 1062.6884750953.

Adding to 1200101316 its reverse (6131010021), we get a palindrome (7331111337).

The spelling of 1200101316 in words is "one billion, two hundred million, one hundred one thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 12 29 58 83 87 116 166 174 249 332 348 498 996 2407 4814 7221 9628 14442 28884 41549 83098 124647 166196 249294 498588 1204921 2409842 3448567 3614763 4819684 6897134 7229526 10345701 13794268 14459052 20691402 41382804 100008443 200016886 300025329 400033772 600050658 1200101316