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200113010214 = 2313173143311243
BaseRepresentation
bin1011101001011110101…
…0100011011000100110
3201010112012221012100220
42322113222203120212
511234312412311324
6231533004145210
720312662343565
oct2722752433046
9633465835326
10200113010214
117795a639477
1232949538206
1315b41869720
1499850dbbdc
155313348b79
hex2e97aa3626

200113010214 has 128 divisors (see below), whose sum is σ = 472217776128. Its totient is φ = 55947386880.

The previous prime is 200113010191. The next prime is 200113010267. The reversal of 200113010214 is 412010311002.

200113010214 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 200113010193 and 200113010202.

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, 17793277 + ... + 17804519.

It is an arithmetic number, because the mean of its divisors is an integer number (3689201376).

Almost surely, 2200113010214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200113010214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236108888064).

200113010214 is an abundant number, since it is smaller than the sum of its proper divisors (272104765914).

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

200113010214 is a wasteful number, since it uses less digits than its factorization.

200113010214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11742.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 200113010214 its reverse (412010311002), we get a palindrome (612123321216).

The spelling of 200113010214 in words is "two hundred billion, one hundred thirteen million, ten thousand, two hundred fourteen".

Divisors: 1 2 3 6 13 17 26 31 34 39 51 62 78 93 102 186 221 403 433 442 527 663 806 866 1054 1209 1299 1326 1581 2418 2598 3162 5629 6851 7361 11243 11258 13423 13702 14722 16887 20553 22083 22486 26846 33729 33774 40269 41106 44166 67458 80538 95693 146159 174499 191131 191386 228191 287079 292318 348533 348998 382262 438477 456382 523497 573393 574158 684573 697066 876954 1045599 1046994 1146786 1369146 2091198 2484703 2966483 4530929 4868219 4969406 5925061 5932966 7454109 8899449 9061858 9736438 11850122 13592787 14604657 14908218 17775183 17798898 27185574 29209314 35550366 63286847 77025793 82759723 126573694 150914789 154051586 165519446 189860541 231077379 248279169 301829578 379721082 452744367 462154758 496558338 905488734 1075876399 1961892257 2151752798 2565551413 3227629197 3923784514 5131102826 5885676771 6455258394 7696654239 11771353542 15393308478 33352168369 66704336738 100056505107 200113010214