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10033422313434 = 23132343238954443
BaseRepresentation
bin1001001000000001011010…
…0100101010011111011010
31022112012000110012200122220
42102000112210222133122
52303341422103012214
633201142433124510
72053614362333322
oct222002644523732
938465013180586
1010033422313434
113219172363863
1211606649b9736
1357a1bc559850
14269897cb2282
15125ed42309a9
hex9201692a7da

10033422313434 has 128 divisors (see below), whose sum is σ = 23084534753280. Its totient is φ = 2883046231296.

The previous prime is 10033422313433. The next prime is 10033422313451. The reversal of 10033422313434 is 43431322433001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10033422313395 and 10033422313404.

It is not an unprimeable number, because it can be changed into a prime (10033422313433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 184265017 + ... + 184319459.

It is an arithmetic number, because the mean of its divisors is an integer number (180347927760).

Almost surely, 210033422313434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10033422313434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11542267376640).

10033422313434 is an abundant number, since it is smaller than the sum of its proper divisors (13051112439846).

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

10033422313434 is a wasteful number, since it uses less digits than its factorization.

10033422313434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56916.

The product of its (nonzero) digits is 62208, while the sum is 33.

Adding to 10033422313434 its reverse (43431322433001), we get a palindrome (53464744746435).

The spelling of 10033422313434 in words is "ten trillion, thirty-three billion, four hundred twenty-two million, three hundred thirteen thousand, four hundred thirty-four".

Divisors: 1 2 3 6 13 23 26 39 43 46 69 78 86 129 138 258 299 559 598 897 989 1118 1677 1794 1978 2389 2967 3354 4778 5934 7167 12857 14334 25714 31057 38571 54443 54947 62114 77142 93171 102727 108886 109894 163329 164841 186342 205454 308181 326658 329682 616362 707759 714311 1252189 1335451 1415518 1428622 2123277 2142933 2341049 2362721 2504378 2670902 3756567 4006353 4246554 4285866 4682098 4725442 7023147 7088163 7513134 8012706 14046294 14176326 16278457 30433637 30715373 32556914 48835371 53844127 60867274 61430746 91300911 92146119 97670742 107688254 130064327 161532381 182601822 184292238 260128654 323064762 390192981 699973651 780385962 1399947302 1690836251 2099920953 2991479521 3381672502 4199841906 5072508753 5592766061 5982959042 8974438563 10145017506 11185532122 16778298183 17948877126 33556596366 38889233773 72705958793 77778467546 116667701319 128633619403 145411917586 218117876379 233335402638 257267238806 385900858209 436235752758 771801716418 1672237052239 3344474104478 5016711156717 10033422313434