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1002053016 = 233228194937
BaseRepresentation
bin111011101110100…
…001110110011000
32120211112120022200
4323232201312120
54023011144031
6243233250200
733555211236
oct7356416630
92524476280
101002053016
114746a6298
1223b703960
1312c7a87a3
1497123956
155ce898e6
hex3bba1d98

1002053016 has 48 divisors (see below), whose sum is σ = 2715406200. Its totient is φ = 333831552.

The previous prime is 1002052973. The next prime is 1002053051. The reversal of 1002053016 is 6103502001.

1002053016 is a `hidden beast` number, since 100 + 20 + 530 + 16 = 666.

It is a super-2 number, since 2×10020530162 = 2008220493749392512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 1002053016.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 200500 + ... + 205436.

Almost surely, 21002053016 is an apocalyptic number.

It is an amenable number.

1002053016 is an abundant number, since it is smaller than the sum of its proper divisors (1713353184).

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

1002053016 is a wasteful number, since it uses less digits than its factorization.

1002053016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7768 (or 7761 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1002053016 is about 31655.2209911730. The cubic root of 1002053016 is about 1000.6838708807.

Adding to 1002053016 its reverse (6103502001), we get a palindrome (7105555017).

It can be divided in two parts, 10020 and 53016, that added together give a palindrome (63036).

The spelling of 1002053016 in words is "one billion, two million, fifty-three thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2819 4937 5638 8457 9874 11276 14811 16914 19748 22552 25371 29622 33828 39496 44433 50742 59244 67656 88866 101484 118488 177732 202968 355464 13917403 27834806 41752209 55669612 83504418 111339224 125256627 167008836 250513254 334017672 501026508 1002053016