Search a number
-
+
20100210010 = 251929103107331
BaseRepresentation
bin10010101110000100…
…001101110101011010
31220212211002110112121
4102232010031311122
5312131123210020
613122305131454
71311046652236
oct225604156532
956784073477
1020100210010
118585054311
123a8b629b8a
131b84392bba
14d8972d5c6
157c9962baa
hex4ae10dd5a

20100210010 has 128 divisors (see below), whose sum is σ = 40273459200. Its totient is φ = 7193007360.

The previous prime is 20100209977. The next prime is 20100210023. The reversal of 20100210010 is 1001200102.

It is a super-2 number, since 2×201002100102 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20100209975 and 20100210002.

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 63 ways as a sum of consecutive naturals, for example, 60725545 + ... + 60725875.

It is an arithmetic number, because the mean of its divisors is an integer number (314636400).

Almost surely, 220100210010 is an apocalyptic number.

20100210010 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

20100210010 is a wasteful number, since it uses less digits than its factorization.

20100210010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596.

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 20100210010 its reverse (1001200102), we get a palindrome (21101410112).

The spelling of 20100210010 in words is "twenty billion, one hundred million, two hundred ten thousand, ten".

Divisors: 1 2 5 10 19 29 38 58 95 103 107 145 190 206 214 290 331 515 535 551 662 1030 1070 1102 1655 1957 2033 2755 2987 3103 3310 3914 4066 5510 5974 6206 6289 9599 9785 10165 11021 12578 14935 15515 19198 19570 20330 22042 29870 31030 31445 34093 35417 47995 55105 56753 58957 62890 68186 70834 95990 110210 113506 117914 170465 177085 182381 209399 283765 294785 319609 340930 354170 364762 418798 567530 589570 639218 647767 672923 911905 988697 1027093 1046995 1295534 1345846 1598045 1823810 1977394 2054186 2093990 3196090 3238835 3364615 3647951 4943485 5135465 6072571 6477670 6729230 7295902 9886970 10270930 12145142 18239755 18785243 19514767 30362855 36479510 37570486 39029534 60725710 69311069 93926215 97573835 105790579 138622138 187852430 195147670 211581158 346555345 528952895 693110690 1057905790 2010021001 4020042002 10050105005 20100210010