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1002120320 = 2751565813
BaseRepresentation
bin111011101110110…
…010010010000000
32120211122222122102
4323232302102000
54023020322240
6243234525532
733555611405
oct7356622200
92524588572
101002120320
11474741913
1223b7368a8
1312c800306
14971402ac
155ce9e815
hex3bbb2480

1002120320 has 32 divisors (see below), whose sum is σ = 2395695420. Its totient is φ = 400847872.

The previous prime is 1002120313. The next prime is 1002120389. The reversal of 1002120320 is 230212001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 969948736 + 32171584 = 31144^2 + 5672^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 782267 + ... + 783546.

Almost surely, 21002120320 is an apocalyptic number.

1002120320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002120320 is an abundant number, since it is smaller than the sum of its proper divisors (1393575100).

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

1002120320 is an equidigital number, since it uses as much as digits as its factorization.

1002120320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1565832 (or 1565820 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 1002120320 is about 31656.2840523015. The cubic root of 1002120320 is about 1000.7062743924.

Adding to 1002120320 its reverse (230212001), we get a palindrome (1232332321).

The spelling of 1002120320 in words is "one billion, two million, one hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 1565813 3131626 6263252 7829065 12526504 15658130 25053008 31316260 50106016 62632520 100212032 125265040 200424064 250530080 501060160 1002120320