Search a number
-
+
201001211000010 = 232516091138794779
BaseRepresentation
bin101101101100111100111101…
…110001111111010011001010
3222100200112020222202122202200
4231230330331301333103022
5202321200440004000020
61551254403115541030
760223600246355031
oct5554747561772312
9870615228678680
10201001211000010
11590551535784a3
121a66346aa5a776
138820443400975
14378c720c21718
151838781cb5590
hexb6cf3dc7f4ca

201001211000010 has 48 divisors (see below), whose sum is σ = 522635630343840. Its totient is φ = 53596991472480.

The previous prime is 201001210999961. The next prime is 201001211000017. The reversal of 201001211000010 is 10000112100102.

It is a happy number.

It is a super-3 number, since 3×2010012110000103 (a number of 44 digits) contains 333 as substring.

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 = 201001210999956 and 201001211000001.

It is not an unprimeable number, because it can be changed into a prime (201001211000017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67949200 + ... + 70845579.

It is an arithmetic number, because the mean of its divisors is an integer number (10888242298830).

Almost surely, 2201001211000010 is an apocalyptic number.

201001211000010 is an abundant number, since it is smaller than the sum of its proper divisors (321634419343830).

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

201001211000010 is a wasteful number, since it uses less digits than its factorization.

201001211000010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138810883 (or 138810880 counting only the distinct ones).

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

Adding to 201001211000010 its reverse (10000112100102), we get a palindrome (211001323100112).

The spelling of 201001211000010 in words is "two hundred one trillion, one billion, two hundred eleven million, ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 16091 32182 48273 80455 96546 144819 160910 241365 289638 482730 724095 1448190 138794779 277589558 416384337 693973895 832768674 1249153011 1387947790 2081921685 2498306022 4163843370 6245765055 12491530110 2233346788889 4466693577778 6700040366667 11166733944445 13400080733334 20100121100001 22333467888890 33500201833335 40200242200002 67000403666670 100500605500005 201001211000010