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200103210131214 = 2313171798091042099
BaseRepresentation
bin101101011111111000101000…
…110000100001111100001110
3222020111200100202200221222210
4231133320220300201330032
5202211442333243144324
61545330051244451250
760101660042050245
oct5537705060417416
9866450322627883
10200103210131214
1158839327491555
121a539414249b26
138786861b76640
14375b09314995c
151820225028d29
hexb5fe28c21f0e

200103210131214 has 128 divisors (see below), whose sum is σ = 459461056320000. Its totient is φ = 57553421856768.

The previous prime is 200103210131171. The next prime is 200103210131239. The reversal of 200103210131214 is 412131012301002.

It is a super-2 number, since 2×2001032101312142 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 191498337 + ... + 192540435.

It is an arithmetic number, because the mean of its divisors is an integer number (3589539502500).

Almost surely, 2200103210131214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200103210131214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229730528160000).

200103210131214 is an abundant number, since it is smaller than the sum of its proper divisors (259357846188786).

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

200103210131214 is a wasteful number, since it uses less digits than its factorization.

200103210131214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043122.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 200103210131214 its reverse (412131012301002), we get a palindrome (612234222432216).

The spelling of 200103210131214 in words is "two hundred trillion, one hundred three billion, two hundred ten million, one hundred thirty-one thousand, two hundred fourteen".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 179 221 358 442 537 663 809 1074 1326 1618 2327 2427 3043 4654 4854 6086 6981 9129 10517 13753 13962 18258 21034 27506 31551 39559 41259 63102 79118 82518 118677 144811 178789 237354 289622 357578 434433 536367 868866 1042099 1072734 1882543 2084198 2461787 3126297 3765086 4923574 5647629 6252594 7385361 11295258 13547287 14770722 17715683 27094574 32003231 35431366 40641861 53147049 64006462 81283722 96009693 106294098 186535721 192019386 230303879 373071442 460607758 559607163 690911637 843058091 1119214326 1381823274 1686116182 2424964373 2529174273 3171107257 4849928746 5058348546 6342214514 7274893119 9513321771 10959755183 14331987547 14549786238 19026643542 21919510366 28663975094 32879265549 41224394341 42995962641 65758531098 82448788682 85991925282 123673183023 150907398289 186315838111 247346366046 301814796578 372631676222 452722194867 558947514333 905444389734 1117895028666 1961796177757 2565425770913 3923592355514 5130851541826 5885388533271 7696277312739 11770777066542 15392554625478 33350535021869 66701070043738 100051605065607 200103210131214