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200021424411102 = 237191674993007853
BaseRepresentation
bin101101011110101100011101…
…111100110001000111011110
3222020012212020222102220111220
4231132230131330301013132
5202204122334122123402
61545224323540554210
760063033234644460
oct5536543574610736
9866185228386456
10200021424411102
1158807678594528
121a5255aa3b2966
13877bc29ab1408
143757135174130
15181d039dc2dbc
hexb5eb1df311de

200021424411102 has 128 divisors (see below), whose sum is σ = 485106693120000. Its totient is φ = 53709071573376.

The previous prime is 200021424411097. The next prime is 200021424411181. The reversal of 200021424411102 is 201114424120002.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 64995808 + ... + 68003660.

It is an arithmetic number, because the mean of its divisors is an integer number (3789896040000).

Almost surely, 2200021424411102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200021424411102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242553346560000).

200021424411102 is an abundant number, since it is smaller than the sum of its proper divisors (285085268708898).

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

200021424411102 is a wasteful number, since it uses less digits than its factorization.

200021424411102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3008550.

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 200021424411102 its reverse (201114424120002), we get a palindrome (401135848531104).

The spelling of 200021424411102 in words is "two hundred trillion, twenty-one billion, four hundred twenty-four million, four hundred eleven thousand, one hundred two".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 167 266 334 399 499 501 798 998 1002 1169 1497 2338 2994 3173 3493 3507 6346 6986 7014 9481 9519 10479 18962 19038 20958 22211 28443 44422 56886 66367 66633 83333 132734 133266 166666 199101 249999 398202 499998 583331 1166662 1583327 1749993 3007853 3166654 3499986 4749981 6015706 9023559 9499962 11083289 18047118 21054971 22166578 33249867 42109942 57149207 63164913 66499734 114298414 126329826 171447621 342895242 400044449 502311451 800088898 1004622902 1200133347 1500918647 1506934353 2400266694 3001837294 3013868706 3516180157 4502755941 7032360314 9005511882 9543917569 10506430529 10548540471 19087835138 21012861058 21097080942 28517454293 28631752707 31519291587 57034908586 57263505414 63038583174 66807422983 85552362879 133614845966 171104725758 199622180051 200422268949 250653414049 399244360102 400844537898 501306828098 598866540153 751960242147 1197733080306 1503920484294 1754573898343 3509147796686 4762414866931 5263721695029 9524829733862 10527443390058 14287244600793 28574489201586 33336904068517 66673808137034 100010712205551 200021424411102