Search a number
-
+
11300332202320 = 245773072761621
BaseRepresentation
bin1010010001110001000001…
…0010010110100101010000
31111000022010120200022222011
42210130100102112211100
52440121040020433240
640011145000552304
72244264523605610
oct244342022264520
944008116608864
1011300332202320
113667497a24787
1213260b6482694
1363c803016c85
142b0d20870a40
15148e330d86ea
hexa4710496950

11300332202320 has 80 divisors (see below), whose sum is σ = 30030717161088. Its totient is φ = 3873867978240.

The previous prime is 11300332202147. The next prime is 11300332202329. The reversal of 11300332202320 is 2320223300311.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 11300332202291 and 11300332202300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11300332202329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2711110 + ... + 5472730.

Almost surely, 211300332202320 is an apocalyptic number.

11300332202320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11300332202320 is an abundant number, since it is smaller than the sum of its proper divisors (18730384958768).

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

11300332202320 is a wasteful number, since it uses less digits than its factorization.

11300332202320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2768948 (or 2768942 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 11300332202320 its reverse (2320223300311), we get a palindrome (13620555502631).

The spelling of 11300332202320 in words is "eleven trillion, three hundred billion, three hundred thirty-two million, two hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 7307 14614 29228 36535 51149 58456 73070 102298 116912 146140 204596 255745 292280 409192 511490 584560 818384 1022980 2045960 2761621 4091920 5523242 11046484 13808105 19331347 22092968 27616210 38662694 44185936 55232420 77325388 96656735 110464840 154650776 193313470 220929680 309301552 386626940 773253880 1546507760 20179164647 40358329294 80716658588 100895823235 141254152529 161433317176 201791646470 282508305058 322866634352 403583292940 565016610116 706270762645 807166585880 1130033220232 1412541525290 1614333171760 2260066440464 2825083050580 5650166101160 11300332202320