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20010210202000 = 2453192771901027
BaseRepresentation
bin1001000110010111111010…
…11110001001000110010000
32121211221211221202111201101
410203023331132021012100
510110321402302431000
6110320321430114144
74133455443221434
oct443137536110620
977757757674641
1020010210202000
116415311aa2a07
1222b2142aab954
13b21c546bac95
144d26dc29a9c4
1524a7a1415e6a
hex1232fd789190

20010210202000 has 160 divisors (see below), whose sum is σ = 51115145028480. Its totient is φ = 7555437734400.

The previous prime is 20010210201983. The next prime is 20010210202061. The reversal of 20010210202000 is 20201201002.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 9575487 + ... + 11476513.

It is an arithmetic number, because the mean of its divisors is an integer number (319469656428).

Almost surely, 220010210202000 is an apocalyptic number.

20010210202000 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 20010210202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25557572514240).

20010210202000 is an abundant number, since it is smaller than the sum of its proper divisors (31104934826480).

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

20010210202000 is a wasteful number, since it uses less digits than its factorization.

20010210202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1901346 (or 1901330 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 20010210202000 its reverse (20201201002), we get a palindrome (20030411403002).

The spelling of 20010210202000 in words is "twenty trillion, ten billion, two hundred ten million, two hundred two thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 125 152 190 200 250 277 304 380 400 475 500 554 760 950 1000 1108 1385 1520 1900 2000 2216 2375 2770 3800 4432 4750 5263 5540 6925 7600 9500 10526 11080 13850 19000 21052 22160 26315 27700 34625 38000 42104 52630 55400 69250 84208 105260 110800 131575 138500 210520 263150 277000 421040 526300 554000 657875 1052600 1315750 1901027 2105200 2631500 3802054 5263000 7604108 9505135 10526000 15208216 19010270 30416432 36119513 38020540 47525675 72239026 76041080 95051350 144478052 152082160 180597565 190102700 237628375 288956104 361195130 380205400 475256750 526584479 577912208 722390260 760410800 902987825 950513500 1053168958 1444780520 1805975650 1901027000 2106337916 2632922395 2889561040 3611951300 3802054000 4212675832 4514939125 5265844790 7223902600 8425351664 9029878250 10005105101 10531689580 13164611975 14447805200 18059756500 20010210202 21063379160 26329223950 36119513000 40020420404 42126758320 50025525505 52658447900 65823059875 72239026000 80040840808 100051051010 105316895800 131646119750 160081681616 200102102020 210633791600 250127627525 263292239500 400204204040 500255255050 526584479000 800408408080 1000510510100 1053168958000 1250638137625 2001021020200 2501276275250 4002042040400 5002552550500 10005105101000 20010210202000