Search a number
-
+
103303302210030 = 23513417984180917
BaseRepresentation
bin10111011111010000101100…
…101000011110000111101110
3111112202200212202012111001010
4113133100230220132013232
5102020010130331210110
61003412514253130050
730521263062510336
oct2737205450360756
9445680782174033
10103303302210030
112aa08758a9344a
12b704a56a89926
1345845c897b980
141b71c996400c6
15be2251560020
hex5df42ca1e1ee

103303302210030 has 128 divisors (see below), whose sum is σ = 273518288217216. Its totient is φ = 24807680409600.

The previous prime is 103303302209999. The next prime is 103303302210137. The reversal of 103303302210030 is 30012203303301.

It is a junction number, because it is equal to n+sod(n) for n = 103303302209979 and 103303302210006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1276617132 + ... + 1276698048.

It is an arithmetic number, because the mean of its divisors is an integer number (2136861626697).

Almost surely, 2103303302210030 is an apocalyptic number.

103303302210030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

103303302210030 is an abundant number, since it is smaller than the sum of its proper divisors (170214986007186).

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

103303302210030 is a wasteful number, since it uses less digits than its factorization.

103303302210030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160822.

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 103303302210030 its reverse (30012203303301), we get a palindrome (133315505513331).

The spelling of 103303302210030 in words is "one hundred three trillion, three hundred three billion, three hundred two million, two hundred ten thousand, thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 41 65 78 82 123 130 195 205 246 390 410 533 615 1066 1230 1599 2665 3198 5330 7995 15990 79841 80917 159682 161834 239523 242751 399205 404585 479046 485502 798410 809170 1037933 1051921 1197615 1213755 2075866 2103842 2395230 2427510 3113799 3155763 3273481 3317597 5189665 5259605 6227598 6311526 6546962 6635194 9820443 9952791 10379330 10519210 15568995 15778815 16367405 16587985 19640886 19905582 31137990 31557630 32734810 33175970 42555253 43128761 49102215 49763955 85110506 86257522 98204430 99527910 127665759 129386283 212776265 215643805 255331518 258772566 425552530 431287610 638328795 646931415 1276657590 1293862830 6460494197 12920988394 19381482591 32302470985 38762965182 64604941970 83986424561 96907412955 167972849122 193814825910 251959273683 264880262077 419932122805 503918547366 529760524154 794640786231 839864245610 1259796368415 1324401310385 1589281572462 2519592736830 2648802620770 3443443407001 3973203931155 6886886814002 7946407862310 10330330221003 17217217035005 20660660442006 34434434070010 51651651105015 103303302210030