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200243122431024 = 243194241437311839
BaseRepresentation
bin101101100001111010111100…
…001011100110010000110000
3222021000001111111101012200210
4231201322330023212100300
5202221240403320243044
61545514230454544120
760115042150013001
oct5541727413462060
9867001444335623
10200243122431024
11588926a43151a2
121a560560668040
138796acb51041a
143763b66c691a8
151823bb31c51b9
hexb61ebc2e6430

200243122431024 has 160 divisors (see below), whose sum is σ = 544819729305600. Its totient is φ = 63199964344320.

The previous prime is 200243122430977. The next prime is 200243122431071. The reversal of 200243122431024 is 420134221342002.

It is an interprime number because it is at equal distance from previous prime (200243122430977) and next prime (200243122431071).

It is a junction number, because it is equal to n+sod(n) for n = 200243122430982 and 200243122431000.

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 31 ways as a sum of consecutive naturals, for example, 16913848497 + ... + 16913860335.

It is an arithmetic number, because the mean of its divisors is an integer number (3405123308160).

Almost surely, 2200243122431024 is an apocalyptic number.

200243122431024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

200243122431024 is an abundant number, since it is smaller than the sum of its proper divisors (344576606874576).

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

200243122431024 is a wasteful number, since it uses less digits than its factorization.

200243122431024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20483 (or 20477 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 200243122431024 its reverse (420134221342002), we get a palindrome (620377343773026).

The spelling of 200243122431024 in words is "two hundred trillion, two hundred forty-three billion, one hundred twenty-two million, four hundred thirty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 4241 4373 8482 8746 11839 12723 13119 16964 17492 23678 25446 26238 33928 34984 35517 47356 50892 52476 67856 69968 71034 80579 83087 94712 101784 104952 142068 161158 166174 189424 203568 209904 224941 241737 249261 284136 322316 332348 449882 483474 498522 568272 644632 664696 674823 899764 966948 997044 1289264 1329392 1349646 1799528 1933896 1994088 2699292 3599056 3867792 3988176 5398584 10797168 18545893 37091786 50209199 51771947 55637679 74183572 100418398 103543894 111275358 148367144 150627597 155315841 200836796 207087788 222550716 296734288 301255194 310631682 352371967 401673592 414175576 445101432 602510388 621263364 704743934 803347184 828351152 890202864 953974781 983666993 1057115901 1205020776 1242526728 1409487868 1907949562 1967333986 2114231802 2410041552 2485053456 2818975736 2861924343 2951000979 3815899124 3934667972 4228463604 5637951472 5723848686 5902001958 7631798248 7869335944 8456927208 11447697372 11804003916 15263596496 15738671888 16913854416 22895394744 23608007832 45790789488 47216015664 219564827227 439129654454 658694481681 878259308908 1317388963362 1756518617816 2634777926724 3513037235632 4171731717313 5269555853448 8343463434626 10539111706896 12515195151939 16686926869252 25030390303878 33373853738504 50060780607756 66747707477008 100121561215512 200243122431024