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1043203224042 = 233743103362131
BaseRepresentation
bin11110010111000111100…
…00011111000111101010
310200201200121220121022000
433023203300133013222
5114042440011132132
62115124013311430
7135240356045310
oct17134360370752
93621617817260
101043203224042
11372469029631
1214a21a795576
13774b1b78235
14386c41dc0b0
151c20958687c
hexf2e3c1f1ea

1043203224042 has 128 divisors (see below), whose sum is σ = 2713687173120. Its totient is φ = 290839973760.

The previous prime is 1043203224031. The next prime is 1043203224079. The reversal of 1043203224042 is 2404223023401.

1043203224042 is a `hidden beast` number, since 1 + 0 + 432 + 0 + 3 + 224 + 0 + 4 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1043203223997 and 1043203224015.

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, 16759317 + ... + 16821447.

It is an arithmetic number, because the mean of its divisors is an integer number (21200681040).

Almost surely, 21043203224042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1043203224042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1356843586560).

1043203224042 is an abundant number, since it is smaller than the sum of its proper divisors (1670483949078).

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

1043203224042 is a wasteful number, since it uses less digits than its factorization.

1043203224042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63225 (or 63219 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 1043203224042 its reverse (2404223023401), we get a palindrome (3447426247443).

The spelling of 1043203224042 in words is "one trillion, forty-three billion, two hundred three million, two hundred twenty-four thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 43 54 63 86 126 129 189 258 301 378 387 602 774 903 1033 1161 1806 2066 2322 2709 3099 5418 6198 7231 8127 9297 14462 16254 18594 21693 27891 43386 44419 55782 62131 65079 88838 124262 130158 133257 186393 195237 266514 310933 372786 390474 399771 434917 559179 621866 799542 869834 932799 1118358 1199313 1304751 1677537 1865598 2398626 2609502 2671633 2798397 3355074 3914253 5343266 5596794 7828506 8014899 8395191 11742759 16029798 16790382 18701431 23485518 24044697 37402862 48089394 56104293 64181323 72134091 112208586 128362646 144268182 168312879 192543969 336625758 385087938 449269261 504938637 577631907 898538522 1009877274 1155263814 1347807783 1732895721 2695615566 2759796889 3465791442 4043423349 5519593778 8086846698 8279390667 12130270047 16558781334 19318578223 24260540094 24838172001 38637156446 49676344002 57955734669 74514516003 115911469338 149029032006 173867204007 347734408014 521601612021 1043203224042