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3000221131023 = 3319232117731559
BaseRepresentation
bin101011101010001011000…
…111010110000100001111
3101121211002120100220012000
4223222023013112010033
5343123423102143043
610214141011043343
7426521163560664
oct53521307260417
911554076326160
103000221131023
11a57428681796
12405567ba0553
13189bc55a536c
14a52d6419a6b
1553098d742d3
hex2ba8b1d610f

3000221131023 has 128 divisors (see below), whose sum is σ = 4914763776000. Its totient is φ = 1800411338880.

The previous prime is 3000221131021. The next prime is 3000221131129. The reversal of 3000221131023 is 3201311220003.

3000221131023 is a `hidden beast` number, since 300 + 0 + 22 + 11 + 310 + 23 = 666.

3000221131023 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3000221131023 - 21 = 3000221131021 is a prime.

It is a super-3 number, since 3×30002211310233 (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3000221130987 and 3000221131005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3000221131021) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1924451518 + ... + 1924453076.

It is an arithmetic number, because the mean of its divisors is an integer number (38396592000).

Almost surely, 23000221131023 is an apocalyptic number.

3000221131023 is a deficient number, since it is larger than the sum of its proper divisors (1914542644977).

3000221131023 is a wasteful number, since it uses less digits than its factorization.

3000221131023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2594 (or 2588 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 3000221131023 its reverse (3201311220003), we get a palindrome (6201532351026).

The spelling of 3000221131023 in words is "three trillion, two hundred twenty-one million, one hundred thirty-one thousand, twenty-three".

Divisors: 1 3 9 19 23 27 57 69 171 207 211 437 513 621 633 773 1311 1559 1899 2319 3933 4009 4677 4853 5697 6957 11799 12027 14031 14559 14687 17779 20871 29621 35857 36081 42093 43677 44061 53337 88863 92207 107571 108243 131031 132183 160011 163103 266589 276621 322713 328949 337801 396549 480033 489309 681283 799767 829863 968139 986847 1013403 1205107 1467927 2043849 2489589 2960541 3040209 3098957 3615321 3751369 4403781 6131547 6250031 7565827 8881623 9120627 9296871 10845963 11254107 18394641 18750093 22697481 22897033 27717461 27890613 32537889 33762321 56250279 68092443 68691099 71276011 83152383 83671839 101286963 143750713 168750837 204277329 206073297 213828033 249457149 254277577 431252139 526631759 618219891 641484099 748371447 762832731 1293756417 1579895277 1924452297 2288498193 3881269251 4739685831 4831273963 5848384271 6865494579 14219057493 14493821889 17545152813 43481465667 52635458439 111119301149 130444397001 157906375317 333357903447 1000073710341 3000221131023