Search a number
-
+
11330114211020 = 225111910725332277
BaseRepresentation
bin1010010011011111111101…
…1011101100110011001100
31111010011000010210010111102
42210313333123230303030
52441113033214223040
640032552124442232
72246400535525403
oct244677733546314
944104003703442
1011330114211020
113679090107710
12132ba283a9378
1364256b195a27
142b2547d7263a
15149ac7a02515
hexa4dff6ecccc

11330114211020 has 96 divisors (see below), whose sum is σ = 27577731121920. Its totient is φ = 3866718608640.

The previous prime is 11330114211019. The next prime is 11330114211041. The reversal of 11330114211020 is 2011241103311.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11330114210983 and 11330114211001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12218879 + ... + 13113398.

It is an arithmetic number, because the mean of its divisors is an integer number (287268032520).

Almost surely, 211330114211020 is an apocalyptic number.

11330114211020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11330114211020 is an abundant number, since it is smaller than the sum of its proper divisors (16247616910900).

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

11330114211020 is a wasteful number, since it uses less digits than its factorization.

11330114211020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25332423 (or 25332421 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 11330114211020 its reverse (2011241103311), we get a palindrome (13341355314331).

The spelling of 11330114211020 in words is "eleven trillion, three hundred thirty billion, one hundred fourteen million, two hundred eleven thousand, twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 107 110 190 209 214 220 380 418 428 535 836 1045 1070 1177 2033 2090 2140 2354 4066 4180 4708 5885 8132 10165 11770 20330 22363 23540 40660 44726 89452 111815 223630 447260 25332277 50664554 101329108 126661385 253322770 278655047 481313263 506645540 557310094 962626526 1114620188 1393275235 1925253052 2406566315 2710553639 2786550470 4813132630 5294445893 5421107278 5573100940 9626265260 10588891786 10842214556 13552768195 21177783572 26472229465 27105536390 29816090029 51500519141 52944458930 54211072780 59632180058 103001038282 105888917860 119264360116 149080450145 206002076564 257502595705 298160900290 515005191410 566505710551 596321800580 1030010382820 1133011421102 2266022842204 2832528552755 5665057105510 11330114211020