Search a number
-
+
201010210100010 = 232510920490337421
BaseRepresentation
bin101101101101000101010110…
…001010110101001100101010
3222100201101111011011022012200
4231231011112022311030222
5202321322402241200020
61551302452105521030
760224336251430133
oct5555052612651452
9870641434138180
10201010210100010
1159058a51304523
121a6651607a3176
1388212489273cc
14378cd36080c8a
151838b0bd65590
hexb6d1562b532a

201010210100010 has 48 divisors (see below), whose sum is σ = 527421285242280. Its totient is φ = 53110954592640.

The previous prime is 201010210099999. The next prime is 201010210100153. The reversal of 201010210100010 is 10001012010102.

It is a happy number.

201010210100010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 198657664592409 + 2352545507601 = 14094597^2 + 1533801^2 .

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 = 201010210099965 and 201010210100001.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10245158901 + ... + 10245178520.

Almost surely, 2201010210100010 is an apocalyptic number.

201010210100010 is an abundant number, since it is smaller than the sum of its proper divisors (326411075142270).

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

201010210100010 is a wasteful number, since it uses less digits than its factorization.

201010210100010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20490337543 (or 20490337540 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 201010210100010 its reverse (10001012010102), we get a palindrome (211011222110112).

The spelling of 201010210100010 in words is "two hundred one trillion, ten billion, two hundred ten million, one hundred thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 109 218 327 545 654 981 1090 1635 1962 3270 4905 9810 20490337421 40980674842 61471012263 102451687105 122942024526 184413036789 204903374210 307355061315 368826073578 614710122630 922065183945 1844130367890 2233446778889 4466893557778 6700340336667 11167233894445 13400680673334 20101021010001 22334467788890 33501701683335 40202042020002 67003403366670 100505105050005 201010210100010