Search a number
-
+
201002403021030 = 232513521329744579
BaseRepresentation
bin101101101100111110000100…
…110101001100000011100110
3222100200122100001202121012100
4231230332010311030003212
5202321210410133133110
61551255121301032530
760223641632362002
oct5554760465140346
9870618301677170
10201002403021030
1159055705424536
121a6637420b5746
1388205a3360450
14378c7d5275702
151838801776bc0
hexb6cf84d4c0e6

201002403021030 has 96 divisors (see below), whose sum is σ = 563886973409760. Its totient is φ = 49382548001280.

The previous prime is 201002403020999. The next prime is 201002403021053. The reversal of 201002403021030 is 30120304200102.

201002403021030 is a `hidden beast` number, since 20 + 1 + 0 + 0 + 2 + 403 + 0 + 210 + 30 = 666.

201002403021030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 201002403020994 and 201002403021012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 164262720 + ... + 165481859.

It is an arithmetic number, because the mean of its divisors is an integer number (5873822639685).

Almost surely, 2201002403021030 is an apocalyptic number.

201002403021030 is an abundant number, since it is smaller than the sum of its proper divisors (362884570388730).

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

201002403021030 is a wasteful number, since it uses less digits than its factorization.

201002403021030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329745126 (or 329745123 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 201002403021030 its reverse (30120304200102), we get a palindrome (231122707221132).

The spelling of 201002403021030 in words is "two hundred one trillion, two billion, four hundred three million, twenty-one thousand, thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 521 585 1042 1170 1563 2605 3126 4689 5210 6773 7815 9378 13546 15630 20319 23445 33865 40638 46890 60957 67730 101595 121914 203190 304785 609570 329744579 659489158 989233737 1648722895 1978467474 2967701211 3297445790 4286679527 4946168685 5935402422 8573359054 9892337370 12860038581 14838506055 21433397635 25720077162 29677012110 38580115743 42866795270 64300192905 77160231486 128600385810 171796925659 192900578715 343593851318 385801157430 515390776977 858984628295 1030781553954 1546172330931 1717969256590 2233360033567 2576953884885 3092344661862 4466720067134 5153907769770 6700080100701 7730861654655 11166800167835 13400160201402 15461723309310 20100240302103 22333600335670 33500400503505 40200480604206 67000801007010 100501201510515 201002403021030