Search a number
-
+
2003356132230 = 2351017517571163
BaseRepresentation
bin11101001001110001010…
…101001010001110000110
321002112000100000000212210
4131021301111022032012
5230310333132212410
64132155030324250
7264511014105105
oct35116125121606
97075010000783
102003356132230
11702689344692
1228431bab9686
13116bb996b02b
146cd6a4bc03c
15371a296c220
hex1d27154a386

2003356132230 has 128 divisors (see below), whose sum is σ = 4872733894656. Its totient is φ = 527083200000.

The previous prime is 2003356132159. The next prime is 2003356132277. The reversal of 2003356132230 is 322316533002.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1722575629 + ... + 1722576791.

It is an arithmetic number, because the mean of its divisors is an integer number (38068233552).

Almost surely, 22003356132230 is an apocalyptic number.

2003356132230 is an abundant number, since it is smaller than the sum of its proper divisors (2869377762426).

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

2003356132230 is a wasteful number, since it uses less digits than its factorization.

2003356132230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2782.

The product of its (nonzero) digits is 19440, while the sum is 30.

The spelling of 2003356132230 in words is "two trillion, three billion, three hundred fifty-six million, one hundred thirty-two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 101 202 303 505 606 751 757 1010 1163 1502 1514 1515 2253 2271 2326 3030 3489 3755 3785 4506 4542 5815 6978 7510 7570 11265 11355 11630 17445 22530 22710 34890 75851 76457 117463 151702 152914 227553 229371 234926 352389 379255 382285 455106 458742 568507 587315 704778 758510 764570 873413 880391 1137014 1137765 1146855 1174630 1705521 1746826 1760782 1761945 2275530 2293710 2620239 2641173 2842535 3411042 3523890 4367065 4401955 5240478 5282346 5685070 8527605 8734130 8803910 13101195 13205865 17055210 26202390 26411730 57419207 88214713 88919491 114838414 172257621 176429426 177838982 264644139 266758473 287096035 344515242 441073565 444597455 529288278 533516946 574192070 661173641 861288105 882147130 889194910 1322347282 1323220695 1333792365 1722576210 1983520923 2646441390 2667584730 3305868205 3967041846 6611736410 9917604615 19835209230 66778537741 133557075482 200335613223 333892688705 400671226446 667785377410 1001678066115 2003356132230