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20212101100010 = 2517241313754377
BaseRepresentation
bin1001001100001111111110…
…00110110011000111101010
32122120020222002002202122102
410212013333012303013222
510122123340340200020
6110553151104453402
74154163464435561
oct446077706630752
978506862082572
1020212101100010
1164929a4162836
1223252a791a262
13b37cba6a4b01
144dc3b1556bd8
15250b6a89b475
hex1261ff1b31ea

20212101100010 has 96 divisors (see below), whose sum is σ = 39603752759088. Its totient is φ = 7421166878720.

The previous prime is 20212101099991. The next prime is 20212101100019. The reversal of 20212101100010 is 1000110121202.

It can be written as a sum of positive squares in 24 ways, for example, as 4993075161361 + 15219025938649 = 2234519^2 + 3901157^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20212101099964 and 20212101100000.

It is not an unprimeable number, because it can be changed into a prime (20212101100019) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 371675942 + ... + 371730318.

Almost surely, 220212101100010 is an apocalyptic number.

20212101100010 is a deficient number, since it is larger than the sum of its proper divisors (19391651659078).

20212101100010 is a wasteful number, since it uses less digits than its factorization.

20212101100010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57596 (or 57579 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 20212101100010 its reverse (1000110121202), we get a palindrome (21212211221212).

The spelling of 20212101100010 in words is "twenty trillion, two hundred twelve billion, one hundred one million, one hundred thousand, ten".

Divisors: 1 2 5 10 17 34 41 82 85 170 205 289 410 578 697 1394 1445 2890 3137 3485 6274 6970 11849 15685 23698 31370 53329 54377 59245 106658 108754 118490 128617 257234 266645 271885 533290 543770 643085 906593 924409 1286170 1813186 1848818 2186489 2229457 4372978 4458914 4532965 4622045 9065930 9244090 10932445 11147285 15714953 21864890 22294570 31429906 37170313 37900769 74340626 75801538 78574765 157149530 170580649 185851565 189503845 341161298 371703130 379007690 644313073 852903245 1288626146 1705806490 2899871033 3221565365 5799742066 6443130730 6993806609 13987613218 14499355165 28998710330 34969033045 49297807561 69938066090 98595615122 118894712353 237789424706 246489037805 492978075610 594473561765 1188947123530 2021210110001 4042420220002 10106050550005 20212101100010