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1003312020 = 223517539539
BaseRepresentation
bin111011110011010…
…101001110010100
32120220220112100110
4323303111032110
54023321441040
6243320243020
733602003634
oct7363251624
92526815313
101003312020
11475386197
12240010470
1312cb29869
14973706c4
155d137980
hex3bcd5394

1003312020 has 48 divisors (see below), whose sum is σ = 2811170880. Its totient is φ = 267369216.

The previous prime is 1003311997. The next prime is 1003312021. The reversal of 1003312020 is 202133001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1003311987 and 1003312005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003312021) 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, 100411 + ... + 109949.

It is an arithmetic number, because the mean of its divisors is an integer number (58566060).

Almost surely, 21003312020 is an apocalyptic number.

1003312020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1003312020 is an abundant number, since it is smaller than the sum of its proper divisors (1807858860).

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

1003312020 is a wasteful number, since it uses less digits than its factorization.

1003312020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11304 (or 11302 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1003312020 is about 31675.1009469583. The cubic root of 1003312020 is about 1001.1027900737.

Adding to 1003312020 its reverse (202133001), we get a palindrome (1205445021).

The spelling of 1003312020 in words is "one billion, three million, three hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1753 3506 5259 7012 8765 9539 10518 17530 19078 21036 26295 28617 35060 38156 47695 52590 57234 95390 105180 114468 143085 190780 286170 572340 16721867 33443734 50165601 66887468 83609335 100331202 167218670 200662404 250828005 334437340 501656010 1003312020