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2013311440420 = 225724271948091
BaseRepresentation
bin11101010011000010101…
…101101001011000100100
321010110201010200002100221
4131103002231221120210
5230441230212043140
64140522535214124
7265312506611200
oct35230255513044
97113633602327
102013311440420
11706927904015
12286239b17344
13117b1530b237
146d632729b00
153758694d14a
hex1d4c2b69624

2013311440420 has 72 divisors (see below), whose sum is σ = 4918449634560. Its totient is φ = 690247696320.

The previous prime is 2013311440297. The next prime is 2013311440423. The reversal of 2013311440420 is 240441133102.

It is a super-2 number, since 2×20133114404202 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2013311440423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41840575 + ... + 41888665.

It is an arithmetic number, because the mean of its divisors is an integer number (68311800480).

Almost surely, 22013311440420 is an apocalyptic number.

2013311440420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2013311440420 is an abundant number, since it is smaller than the sum of its proper divisors (2905138194140).

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

2013311440420 is a wasteful number, since it uses less digits than its factorization.

2013311440420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90833 (or 90824 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 2013311440420 its reverse (240441133102), we get a palindrome (2253752573522).

The spelling of 2013311440420 in words is "two trillion, thirteen billion, three hundred eleven million, four hundred forty thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 42719 48091 85438 96182 170876 192364 213595 240455 299033 336637 427190 480910 598066 673274 854380 961820 1196132 1346548 1495165 1683185 2093231 2356459 2990330 3366370 4186462 4712918 5980660 6732740 8372924 9425836 10466155 11782295 20932310 23564590 41864620 47129180 2054399429 4108798858 8217597716 10271997145 14380796003 20543994290 28761592006 41087988580 57523184012 71903980015 100665572021 143807960030 201331144042 287615920060 402662288084 503327860105 1006655720210 2013311440420