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1000321020 = 2232531179269
BaseRepresentation
bin111011100111111…
…010111111111100
32120201021120110200
4323213322333330
54022040233040
6243132203500
733534405546
oct7347727774
92521246420
101000321020
11473722a96
1223b009590
1312c32033a
1496bd2696
155cc46630
hex3b9faffc

1000321020 has 72 divisors (see below), whose sum is σ = 3132205440. Its totient is φ = 258145920.

The previous prime is 1000320967. The next prime is 1000321027. The reversal of 1000321020 is 201230001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1000320993 and 1000321011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000321027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84055 + ... + 95214.

Almost surely, 21000321020 is an apocalyptic number.

1000321020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000321020 is an abundant number, since it is smaller than the sum of its proper divisors (2131884420).

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

1000321020 is a wasteful number, since it uses less digits than its factorization.

1000321020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179315 (or 179310 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1000321020 is about 31627.8519662654. The cubic root of 1000321020 is about 1000.1069952183.

Adding to 1000321020 its reverse (201230001), we get a palindrome (1201551021).

The spelling of 1000321020 in words is "one billion, three hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 930 1116 1395 1860 2790 5580 179269 358538 537807 717076 896345 1075614 1613421 1792690 2151228 2689035 3226842 3585380 5378070 5557339 6453684 8067105 10756140 11114678 16134210 16672017 22229356 27786695 32268420 33344034 50016051 55573390 66688068 83360085 100032102 111146780 166720170 200064204 250080255 333440340 500160510 1000321020