Search a number
-
+
201000102110010 = 23257674761907181
BaseRepresentation
bin101101101100111011111011…
…101011111010001100111010
3222100200102101201012012122200
4231230323323223322030322
5202321141202120010020
61551254101104331030
760223530623064420
oct5554737353721472
9870612351165580
10201000102110010
1159054734640a85
121a6631bb613a76
1388202c7759738
14378c65784b110
151838719775590
hexb6cefbafa33a

201000102110010 has 96 divisors (see below), whose sum is σ = 606171736639872. Its totient is φ = 45257165838720.

The previous prime is 201000102109999. The next prime is 201000102110023. The reversal of 201000102110010 is 10011201000102.

It is a happy number.

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 = 201000102109974 and 201000102110001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2380911381 + ... + 2380995800.

It is an arithmetic number, because the mean of its divisors is an integer number (6314288923332).

Almost surely, 2201000102110010 is an apocalyptic number.

201000102110010 is an abundant number, since it is smaller than the sum of its proper divisors (405171634529862).

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

201000102110010 is a wasteful number, since it uses less digits than its factorization.

201000102110010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4761907268 (or 4761907265 counting only the distinct ones).

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

Adding to 201000102110010 its reverse (10011201000102), we get a palindrome (211011303110112).

The spelling of 201000102110010 in words is "two hundred one trillion, one hundred two million, one hundred ten thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 67 70 90 105 126 134 201 210 315 335 402 469 603 630 670 938 1005 1206 1407 2010 2345 2814 3015 4221 4690 6030 7035 8442 14070 21105 42210 4761907181 9523814362 14285721543 23809535905 28571443086 33333350267 42857164629 47619071810 66666700534 71428607715 85714329258 100000050801 142857215430 166666751335 200000101602 214285823145 300000152403 319047781127 333333502670 428571646290 500000254005 600000304806 638095562254 957143343381 1000000508010 1500000762015 1595238905635 1914286686762 2233334467889 2871430030143 3000001524030 3190477811270 4466668935778 4785716716905 5742860060286 6700003403667 9571433433810 11166672339445 13400006807334 14357150150715 20100010211001 22333344678890 28714300301430 33500017018335 40200020422002 67000034036670 100500051055005 201000102110010