Search a number
-
+
10020020011101 = 333121273040729
BaseRepresentation
bin1001000111001111011110…
…1110111100000001011101
31022110220102102102012011000
42101303313232330001131
52303132000110323401
633151044511220513
72052631302544512
oct221636756740135
938426372365130
1010020020011101
113213515090741
121159b44517739
13578b64a1b639
14268d85d43309
1512599c813186
hex91cf7bbc05d

10020020011101 has 48 divisors (see below), whose sum is σ = 15459557836800. Its totient is φ = 6413625126720.

The previous prime is 10020020011061. The next prime is 10020020011147. The reversal of 10020020011101 is 10111002002001.

It is a happy number.

It is not a de Polignac number, because 10020020011101 - 215 = 10020019978333 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10020020011171) 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, 1774905 + ... + 4815633.

It is an arithmetic number, because the mean of its divisors is an integer number (322074121600).

Almost surely, 210020020011101 is an apocalyptic number.

It is an amenable number.

10020020011101 is a deficient number, since it is larger than the sum of its proper divisors (5439537825699).

10020020011101 is a wasteful number, since it uses less digits than its factorization.

10020020011101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3040927 (or 3040890 counting only the distinct ones).

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

Adding to 10020020011101 its reverse (10111002002001), we get a palindrome (20131022013102).

The spelling of 10020020011101 in words is "ten trillion, twenty billion, twenty million, eleven thousand, one hundred one".

Divisors: 1 3 9 27 31 93 127 279 381 837 961 1143 2883 3429 3937 8649 11811 25947 35433 106299 122047 366141 1098423 3040729 3295269 9122187 27366561 82099683 94262599 282787797 386172583 848363391 1158517749 2545090173 2922140569 3475553247 8766421707 10426659741 11971350073 26299265121 35914050219 78897795363 107742150657 323226451971 371111852263 1113335556789 3340006670367 10020020011101