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2102032020 = 22351112912467
BaseRepresentation
bin111110101001010…
…0111011010010100
312102111100021211210
41331102213122110
513301110011040
6544325501420
7103042656144
oct17522473224
95374307753
102102032020
119895a6850
124a7b71870
1327664ca3a
1415d258924
15c4819480
hex7d4a7694

2102032020 has 96 divisors (see below), whose sum is σ = 6428330496. Its totient is φ = 508982400.

The previous prime is 2102032019. The next prime is 2102032033. The reversal of 2102032020 is 202302012.

It is a super-2 number, since 2×21020320202 = 8837077226210560800, which contains 22 as substring.

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 = 2102031987 and 2102032005.

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 31 ways as a sum of consecutive naturals, for example, 850827 + ... + 853293.

It is an arithmetic number, because the mean of its divisors is an integer number (66961776).

Almost surely, 22102032020 is an apocalyptic number.

2102032020 is a gapful number since it is divisible by the number (20) 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 2102032020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3214165248).

2102032020 is an abundant number, since it is smaller than the sum of its proper divisors (4326298476).

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

2102032020 is a wasteful number, since it uses less digits than its factorization.

2102032020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3781 (or 3779 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2102032020 is about 45847.9227446566. The cubic root of 2102032020 is about 1280.9920734981.

Adding to 2102032020 its reverse (202302012), we get a palindrome (2304334032).

The spelling of 2102032020 in words is "two billion, one hundred two million, thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1291 2467 2582 3873 4934 5164 6455 7401 7746 9868 12335 12910 14201 14802 15492 19365 24670 25820 27137 28402 29604 37005 38730 42603 49340 54274 56804 71005 74010 77460 81411 85206 108548 135685 142010 148020 162822 170412 213015 271370 284020 325644 407055 426030 542740 814110 852060 1628220 3184897 6369794 9554691 12739588 15924485 19109382 31848970 35033867 38218764 47773455 63697940 70067734 95546910 105101601 140135468 175169335 191093820 210203202 350338670 420406404 525508005 700677340 1051016010 2102032020