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3013113011220 = 22325131287655133
BaseRepresentation
bin101011110110001011100…
…001111101110000010100
3101200001101000201021011100
4223312023201331300110
5343331323412324340
610224112140510100
7430455515004354
oct53661341756024
911601330637140
103013113011220
11a6194381a134
12407b6554b330
1318b19b44c740
14a5b9a67cb64
15535a0a6a830
hex2bd8b87dc14

3013113011220 has 72 divisors (see below), whose sum is σ = 9842835844296. Its totient is φ = 741689356032.

The previous prime is 3013113011177. The next prime is 3013113011221. The reversal of 3013113011220 is 221103113103.

3013113011220 is a `hidden beast` number, since 30 + 1 + 311 + 301 + 1 + 2 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 594801882756 + 2418311128464 = 771234^2 + 1555092^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3013113011193 and 3013113011202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3013113011221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 643825227 + ... + 643829906.

It is an arithmetic number, because the mean of its divisors is an integer number (136706053393).

Almost surely, 23013113011220 is an apocalyptic number.

3013113011220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3013113011220 is an abundant number, since it is smaller than the sum of its proper divisors (6829722833076).

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

3013113011220 is a wasteful number, since it uses less digits than its factorization.

3013113011220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1287655161 (or 1287655156 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 3013113011220 its reverse (221103113103), we get a palindrome (3234216124323).

The spelling of 3013113011220 in words is "three trillion, thirteen billion, one hundred thirteen million, eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 1287655133 2575310266 3862965399 5150620532 6438275665 7725930798 11588896197 12876551330 15451861596 16739516729 19314826995 23177792394 25753102660 33479033458 38629653990 46355584788 50218550187 57944480985 66958066916 77259307980 83697583645 100437100374 115888961970 150655650561 167395167290 200874200748 231777923940 251092750935 301311301122 334790334580 502185501870 602622602244 753278252805 1004371003740 1506556505610 3013113011220