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1230220224030 = 23578399770793
BaseRepresentation
bin10001111001101110110…
…101101110011000011110
311100121102011101112221010
4101321232311232120132
5130123442334132110
62341053320520050
7154611001240320
oct21715665563036
94317364345833
101230220224030
11434808276756
1217a512320026
138c017498485
1443785cdb610
1522002d16020
hex11e6ed6e61e

1230220224030 has 128 divisors (see below), whose sum is σ = 3418446302208. Its totient is φ = 277522762752.

The previous prime is 1230220224029. The next prime is 1230220224049. The reversal of 1230220224030 is 304220220321.

It is a super-3 number, since 3×12302202240303 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 = 1230220223988 and 1230220224006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17342314 + ... + 17413106.

It is an arithmetic number, because the mean of its divisors is an integer number (26706611736).

Almost surely, 21230220224030 is an apocalyptic number.

1230220224030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1230220224030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1709223151104).

1230220224030 is an abundant number, since it is smaller than the sum of its proper divisors (2188226078178).

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

1230220224030 is a wasteful number, since it uses less digits than its factorization.

1230220224030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71890.

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 1230220224030 its reverse (304220220321), we get a palindrome (1534440444351).

The spelling of 1230220224030 in words is "one trillion, two hundred thirty billion, two hundred twenty million, two hundred twenty-four thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 83 105 166 210 249 415 498 581 830 997 1162 1245 1743 1994 2490 2905 2991 3486 4985 5810 5982 6979 8715 9970 13958 14955 17430 20937 29910 34895 41874 69790 70793 82751 104685 141586 165502 209370 212379 248253 353965 413755 424758 495551 496506 579257 707930 827510 991102 1061895 1158514 1241265 1486653 1737771 2123790 2477755 2482530 2896285 2973306 3475542 4955510 5792570 5875819 7433265 8688855 11751638 14866530 17377710 17627457 29379095 35254914 41130733 58758190 70580621 82261466 88137285 123392199 141161242 176274570 205653665 211741863 246784398 352903105 411307330 423483726 494064347 616960995 705806210 988128694 1058709315 1233921990 1482193041 2117418630 2470321735 2964386082 4940643470 5858191543 7410965205 11716383086 14821930410 17574574629 29290957715 35149149258 41007340801 58581915430 82014681602 87872873145 123022022403 175745746290 205036704005 246044044806 410073408010 615110112015 1230220224030