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1000211324 = 22734715511
BaseRepresentation
bin111011100111100…
…000001101111100
32120201001222222212
4323213200031330
54022023230244
6243125555552
733533441000
oct7347401574
92521058885
101000211324
11473658632
1223ab75bb8
1312c2b2428
1496ba4700
155cc23d9e
hex3b9e037c

1000211324 has 48 divisors (see below), whose sum is σ = 2084812800. Its totient is φ = 419514480.

The previous prime is 1000211323. The next prime is 1000211341. The reversal of 1000211324 is 4231120001.

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 = 1000211299 and 1000211308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000211323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56729 + ... + 72239.

It is an arithmetic number, because the mean of its divisors is an integer number (43433600).

Almost surely, 21000211324 is an apocalyptic number.

1000211324 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 1000211324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1042406400).

1000211324 is an abundant number, since it is smaller than the sum of its proper divisors (1084601476).

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

1000211324 is a wasteful number, since it uses less digits than its factorization.

1000211324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15583 (or 15567 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1000211324 is about 31626.1177509981. The cubic root of 1000211324 is about 1000.0704363719.

Adding to 1000211324 its reverse (4231120001), we get a palindrome (5231331325).

The spelling of 1000211324 in words is "one billion, two hundred eleven thousand, three hundred twenty-four".

Divisors: 1 2 4 7 14 28 47 49 94 98 188 196 329 343 658 686 1316 1372 2303 4606 9212 15511 16121 31022 32242 62044 64484 108577 217154 434308 729017 760039 1458034 1520078 2916068 3040156 5103119 5320273 10206238 10640546 20412476 21281092 35721833 71443666 142887332 250052831 500105662 1000211324