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1002132020 = 22550106601
BaseRepresentation
bin111011101110110…
…101001000110100
32120211200120200202
4323232311020310
54023021211040
6243235100032
733555660461
oct7356651064
92524616622
101002132020
1147474a68a
1223b741618
1312c805736
1497144668
155cea3015
hex3bbb5234

1002132020 has 12 divisors (see below), whose sum is σ = 2104477284. Its totient is φ = 400852800.

The previous prime is 1002131971. The next prime is 1002132023. The reversal of 1002132020 is 202312001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 199883044 + 802248976 = 14138^2 + 28324^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1002131992 and 1002132010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002132023) 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 3 ways as a sum of consecutive naturals, for example, 25053281 + ... + 25053320.

It is an arithmetic number, because the mean of its divisors is an integer number (175373107).

Almost surely, 21002132020 is an apocalyptic number.

1002132020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002132020 is an abundant number, since it is smaller than the sum of its proper divisors (1102345264).

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

1002132020 is a wasteful number, since it uses less digits than its factorization.

1002132020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50106610 (or 50106608 counting only the distinct ones).

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

The square root of 1002132020 is about 31656.4688491942. The cubic root of 1002132020 is about 1000.7101688741.

Adding to 1002132020 its reverse (202312001), we get a palindrome (1204444021).

The spelling of 1002132020 in words is "one billion, two million, one hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 50106601 100213202 200426404 250533005 501066010 1002132020