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2123002020 = 2235431974177
BaseRepresentation
bin111111010001010…
…0111000010100100
312110221210200021110
41332202213002210
513321442031040
6550355145020
7103416135156
oct17642470244
95427720243
102123002020
1199a419927
124b2ba5170
1327aab2819
14161d56ad6
15c65ac980
hex7e8a70a4

2123002020 has 96 divisors (see below), whose sum is σ = 6114987648. Its totient is φ = 550029312.

The previous prime is 2123002019. The next prime is 2123002073. The reversal of 2123002020 is 202003212.

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 = 2123001987 and 2123002005.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 506172 + ... + 510348.

It is an arithmetic number, because the mean of its divisors is an integer number (63697788).

Almost surely, 22123002020 is an apocalyptic number.

2123002020 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 2123002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3057493824).

2123002020 is an abundant number, since it is smaller than the sum of its proper divisors (3991985628).

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

2123002020 is a wasteful number, since it uses less digits than its factorization.

2123002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4429 (or 4427 counting only the distinct ones).

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

The square root of 2123002020 is about 46076.0460543220. The cubic root of 2123002020 is about 1285.2377380640.

Adding to 2123002020 its reverse (202003212), we get a palindrome (2325005232).

The spelling of 2123002020 in words is "two billion, one hundred twenty-three million, two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 197 215 258 394 430 516 591 645 788 860 985 1182 1290 1970 2364 2580 2955 3940 4177 5910 8354 8471 11820 12531 16708 16942 20885 25062 25413 33884 41770 42355 50124 50826 62655 83540 84710 101652 125310 127065 169420 179611 250620 254130 359222 508260 538833 718444 822869 898055 1077666 1645738 1796110 2155332 2468607 2694165 3291476 3592220 4114345 4937214 5388330 8228690 9874428 10776660 12343035 16457380 24686070 35383367 49372140 70766734 106150101 141533468 176916835 212300202 353833670 424600404 530750505 707667340 1061501010 2123002020