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11311011230120 = 2357227720833661
BaseRepresentation
bin1010010010011000110011…
…0011100111000110101000
31111001022200211011011010022
42210212030303213012220
52440304422333330440
640020112401340012
72245123255053500
oct244461463470650
944038624134108
1011311011230120
113670a77a64398
121328196937608
136408155aca34
142b1654c6ca00
1514935a8c4cb5
hexa498cce71a8

11311011230120 has 96 divisors (see below), whose sum is σ = 29711718724680. Its totient is φ = 3864060587520.

The previous prime is 11311011230081. The next prime is 11311011230131. The reversal of 11311011230120 is 2103211011311.

It can be written as a sum of positive squares in 4 ways, for example, as 4050325301764 + 7260685928356 = 2012542^2 + 2694566^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9873911 + ... + 10959750.

Almost surely, 211311011230120 is an apocalyptic number.

11311011230120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11311011230120 is an abundant number, since it is smaller than the sum of its proper divisors (18400707494560).

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

11311011230120 is a wasteful number, since it uses less digits than its factorization.

11311011230120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20833963 (or 20833952 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 11311011230120 its reverse (2103211011311), we get a palindrome (13414222241431).

The spelling of 11311011230120 in words is "eleven trillion, three hundred eleven billion, eleven million, two hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 277 280 392 490 554 980 1108 1385 1939 1960 2216 2770 3878 5540 7756 9695 11080 13573 15512 19390 27146 38780 54292 67865 77560 108584 135730 271460 542920 20833661 41667322 83334644 104168305 145835627 166669288 208336610 291671254 416673220 583342508 729178135 833346440 1020849389 1166685016 1458356270 2041698778 2916712540 4083397556 5104246945 5770924097 5833425080 8166795112 10208493890 11541848194 20416987780 23083696388 28854620485 40396468679 40833975560 46167392776 57709240970 80792937358 115418481940 161585874716 201982343395 230836963880 282775280753 323171749432 403964686790 565550561506 807929373580 1131101123012 1413876403765 1615858747160 2262202246024 2827752807530 5655505615060 11311011230120