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20000202012 = 22327213782759
BaseRepresentation
bin10010101000000110…
…101101110100011100
31220121211220112100200
4102220012231310130
5311430022431022
613104333423500
71305423624600
oct225006556434
956554815320
1020000202012
11853365787a
123a6203ab90
131b6974887b
14d7a339500
157c0caabac
hex4a81add1c

20000202012 has 108 divisors (see below), whose sum is σ = 59240104560. Its totient is φ = 5672564352.

The previous prime is 20000201993. The next prime is 20000202049. The reversal of 20000202012 is 21020200002.

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 = 20000201985 and 20000202003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 200289 + ... + 283047.

Almost surely, 220000202012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20000202012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29620052280).

20000202012 is an abundant number, since it is smaller than the sum of its proper divisors (39239902548).

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

20000202012 is a wasteful number, since it uses less digits than its factorization.

20000202012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82920 (or 82908 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 20000202012 its reverse (21020200002), we get a palindrome (41020402014).

The spelling of 20000202012 in words is "twenty billion, two hundred two thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 137 147 196 252 274 294 411 441 548 588 822 882 959 1233 1644 1764 1918 2466 2877 3836 4932 5754 6713 8631 11508 13426 17262 20139 26852 34524 40278 60417 80556 82759 120834 165518 241668 248277 331036 496554 579313 744831 993108 1158626 1489662 1737939 2317252 2979324 3475878 4055191 5213817 6951756 8110382 10427634 11337983 12165573 16220764 20855268 22675966 24331146 34013949 36496719 45351932 48662292 68027898 72993438 79365881 102041847 136055796 145986876 158731762 204083694 238097643 317463524 408167388 476195286 555561167 714292929 952390572 1111122334 1428585858 1666683501 2222244668 2857171716 3333367002 5000050503 6666734004 10000101006 20000202012