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200424343210104 = 233131636983564373
BaseRepresentation
bin101101100100100011101101…
…110010000000100001111000
3222021122101021002020122000110
4231210203231302000201320
5202232223023330210404
61550133401105104320
760134116031143536
oct5544435562004170
9867571232218013
10200424343210104
1158952539765802
121a58b6b70280a0
1387aac1c043050
14376c838c43156
15182876cb70b89
hexb648edc80878

200424343210104 has 128 divisors (see below), whose sum is σ = 542993165084160. Its totient is φ = 61281805367808.

The previous prime is 200424343210073. The next prime is 200424343210109. The reversal of 200424343210104 is 401012343424002.

It is a super-2 number, since 2×2004243432101042 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200424343210109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 354845262 + ... + 355409634.

It is an arithmetic number, because the mean of its divisors is an integer number (4242134102220).

Almost surely, 2200424343210104 is an apocalyptic number.

200424343210104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200424343210104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271496582542080).

200424343210104 is an abundant number, since it is smaller than the sum of its proper divisors (342568821874056).

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

200424343210104 is a wasteful number, since it uses less digits than its factorization.

200424343210104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571541 (or 571537 counting only the distinct ones).

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

Adding to 200424343210104 its reverse (401012343424002), we get a palindrome (601436686634106).

The spelling of 200424343210104 in words is "two hundred trillion, four hundred twenty-four billion, three hundred forty-three million, two hundred ten thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 163 312 326 489 652 978 1304 1956 2119 3912 4238 6357 6983 8476 12714 13966 16952 20949 25428 27932 41898 50856 55864 83796 90779 167592 181558 272337 363116 544674 564373 726232 1089348 1128746 1138229 1693119 2178696 2257492 2276458 3386238 3414687 4514984 4552916 6772476 6829374 7336849 9105832 13544952 13658748 14673698 14796977 22010547 27317496 29347396 29593954 44021094 44390931 58694792 59187908 88042188 88781862 91992799 118375816 176084376 177563724 183985598 275978397 355127448 367971196 551956794 735942392 1103913588 1195906387 2207827176 2391812774 3587719161 3941016659 4783625548 7175438322 7882033318 9567251096 11823049977 14350876644 15764066636 23646099954 28701753288 31528133272 47292199908 51233216567 94584399816 102466433134 153699649701 204932866268 307399299402 409865732536 614798598804 642385715417 1229597197608 1284771430834 1927157146251 2569542861668 3854314292502 5139085723336 7708628585004 8351014300421 15417257170008 16702028600842 25053042901263 33404057201684 50106085802526 66808114403368 100212171605052 200424343210104