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3203212020 = 2235312576701
BaseRepresentation
bin1011111011101101…
…0010001011110100
322021020102000211020
42332323102023310
523030010241040
61245503541140
7142243565361
oct27673221364
98236360736
103203212020
1113a4147668
127548ba7b0
133c0824838
142255c3468
1513b334cd0
hexbeed22f4

3203212020 has 96 divisors (see below), whose sum is σ = 9295727616. Its totient is φ = 823296000.

The previous prime is 3203212013. The next prime is 3203212021. The reversal of 3203212020 is 202123023.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3203212021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 474670 + ... + 481370.

It is an arithmetic number, because the mean of its divisors is an integer number (96830496).

Almost surely, 23203212020 is an apocalyptic number.

3203212020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3203212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4647863808).

3203212020 is an abundant number, since it is smaller than the sum of its proper divisors (6092515596).

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

3203212020 is a wasteful number, since it uses less digits than its factorization.

3203212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7001 (or 6999 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 3203212020 is about 56596.9258882494. The cubic root of 3203212020 is about 1474.1054838666.

Adding to 3203212020 its reverse (202123023), we get a palindrome (3405335043).

The spelling of 3203212020 in words is "three billion, two hundred three million, two hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 257 310 372 465 514 620 771 930 1028 1285 1542 1860 2570 3084 3855 5140 6701 7710 7967 13402 15420 15934 20103 23901 26804 31868 33505 39835 40206 47802 67010 79670 80412 95604 100515 119505 134020 159340 201030 207731 239010 402060 415462 478020 623193 830924 1038655 1246386 1722157 2077310 2492772 3115965 3444314 4154620 5166471 6231930 6888628 8610785 10332942 12463860 17221570 20665884 25832355 34443140 51664710 53386867 103329420 106773734 160160601 213547468 266934335 320321202 533868670 640642404 800803005 1067737340 1601606010 3203212020