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11312110331220 = 22355923391366187
BaseRepresentation
bin1010010010011100111001…
…0100010110010101010100
31111001102112102022021101110
42210213032110112111110
52440314200221044340
640020413423055020
72245162432214046
oct244471624262524
944042472267343
1011312110331220
113671491415306
121328442a41470
1364095c20750a
142b171ac15a96
151493c212e680
hexa49ce516554

11312110331220 has 96 divisors (see below), whose sum is σ = 32224549593600. Its totient is φ = 2964164581504.

The previous prime is 11312110331219. The next prime is 11312110331231. The reversal of 11312110331220 is 2213301121311.

It is a congruent number.

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, 7596967 + ... + 8963153.

It is an arithmetic number, because the mean of its divisors is an integer number (335672391600).

Almost surely, 211312110331220 is an apocalyptic number.

11312110331220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11312110331220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16112274796800).

11312110331220 is an abundant number, since it is smaller than the sum of its proper divisors (20912439262380).

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

11312110331220 is a wasteful number, since it uses less digits than its factorization.

11312110331220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1368597 (or 1368595 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 11312110331220 its reverse (2213301121311), we get a palindrome (13525411452531).

The spelling of 11312110331220 in words is "eleven trillion, three hundred twelve billion, one hundred ten million, three hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 59 60 118 177 236 295 354 590 708 885 1180 1770 2339 3540 4678 7017 9356 11695 14034 23390 28068 35085 46780 70170 138001 140340 276002 414003 552004 690005 828006 1366187 1380010 1656012 2070015 2732374 2760020 4098561 4140030 5464748 6830935 8197122 8280060 13661870 16394244 20492805 27323740 40985610 80605033 81971220 161210066 241815099 322420132 403025165 483630198 806050330 967260396 1209075495 1612100660 2418150990 3195511393 4836301980 6391022786 9586534179 12782045572 15977556965 19173068358 31955113930 38346136716 47932670895 63910227860 95865341790 188535172187 191730683580 377070344374 565605516561 754140688748 942675860935 1131211033122 1885351721870 2262422066244 2828027582805 3770703443740 5656055165610 11312110331220