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12213313002030 = 2357175100167079
BaseRepresentation
bin1011000110111010001000…
…1011101101101000101110
31121020120200210010100211010
42301232202023231220232
53100100331112031110
641550415112010050
72400245165425350
oct261564213555056
947216623110733
1012213313002030
113989700875518
121453031990926
136a7930bb164a
143031adc250d0
15162a6a023020
hexb1ba22eda2e

12213313002030 has 128 divisors (see below), whose sum is σ = 35471148410880. Its totient is φ = 2627311104000.

The previous prime is 12213313002001. The next prime is 12213313002041. The reversal of 12213313002030 is 3020031331221.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 12213313001988 and 12213313002006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 182040031 + ... + 182107109.

It is an arithmetic number, because the mean of its divisors is an integer number (277118346960).

Almost surely, 212213313002030 is an apocalyptic number.

12213313002030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12213313002030 is an abundant number, since it is smaller than the sum of its proper divisors (23257835408850).

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

12213313002030 is a wasteful number, since it uses less digits than its factorization.

12213313002030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118114.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 12213313002030 its reverse (3020031331221), we get a palindrome (15233344333251).

The spelling of 12213313002030 in words is "twelve trillion, two hundred thirteen billion, three hundred thirteen million, two thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 30 34 35 42 51 70 85 102 105 119 170 210 238 255 357 510 595 714 1190 1785 3570 51001 67079 102002 134158 153003 201237 255005 306006 335395 357007 402474 469553 510010 670790 714014 765015 867017 939106 1006185 1071021 1140343 1408659 1530030 1734034 1785035 2012370 2142042 2280686 2347765 2601051 2817318 3421029 3570070 4335085 4695530 5202102 5355105 5701715 6069119 6842058 7043295 7982401 8670170 10710210 11403430 12138238 13005255 14086590 15964802 17105145 18207357 23947203 26010510 30345595 34210290 36414714 39912005 47894406 60691190 79824010 91036785 119736015 182073570 239472030 3421096079 6842192158 10263288237 17105480395 20526576474 23947672553 34210960790 47895345106 51316441185 58158633343 71843017659 102632882370 116317266686 119738362765 143686035318 174475900029 239476725530 290793166715 348951800058 359215088295 407110433401 581586333430 718430176590 814220866802 872379500145 1221331300203 1744759000290 2035552167005 2442662600406 4071104334010 6106656501015 12213313002030