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13021220110320 = 2432542142957311
BaseRepresentation
bin1011110101111011110100…
…1100101111111111110000
31201002211001012212211020100
42331132331030233333300
53201314424322012240
643405511013112400
72512515654512262
oct275367514577760
951084035784210
1013021220110320
1141702a5320754
121563724328700
13735b85078c06
14330332393b32
15178aa25b1e30
hexbd7bd32fff0

13021220110320 has 120 divisors (see below), whose sum is σ = 43833469335552. Its totient is φ = 3464077478400.

The previous prime is 13021220110273. The next prime is 13021220110391. The reversal of 13021220110320 is 2301102212031.

13021220110320 is a `hidden beast` number, since 1 + 3 + 0 + 212 + 20 + 110 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×130212201103202 (a number of 27 digits) contains 22 as substring.

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 = 13021220110293 and 13021220110302.

It is a congruent number.

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, 21175536 + ... + 21781775.

Almost surely, 213021220110320 is an apocalyptic number.

13021220110320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13021220110320 is an abundant number, since it is smaller than the sum of its proper divisors (30812249225232).

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

13021220110320 is a wasteful number, since it uses less digits than its factorization.

13021220110320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42957751 (or 42957742 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13021220110320 its reverse (2301102212031), we get a palindrome (15322322322351).

The spelling of 13021220110320 in words is "thirteen trillion, twenty-one billion, two hundred twenty million, one hundred ten thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 421 720 842 1263 1684 2105 2526 3368 3789 4210 5052 6315 6736 7578 8420 10104 12630 15156 16840 18945 20208 25260 30312 33680 37890 50520 60624 75780 101040 151560 303120 42957311 85914622 128871933 171829244 214786555 257743866 343658488 386615799 429573110 515487732 644359665 687316976 773231598 859146220 1030975464 1288719330 1546463196 1718292440 1933078995 2061950928 2577438660 3092926392 3436584880 3866157990 5154877320 6185852784 7732315980 10309754640 15464631960 18085027931 30929263920 36170055862 54255083793 72340111724 90425139655 108510167586 144680223448 162765251379 180850279310 217020335172 271275418965 289360446896 325530502758 361700558620 434040670344 542550837930 651061005516 723401117240 813826256895 868081340688 1085101675860 1302122011032 1446802234480 1627652513790 2170203351720 2604244022064 3255305027580 4340406703440 6510610055160 13021220110320