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200101122121302 = 2322911313125895797
BaseRepresentation
bin101101011111110110101100…
…010011011001111001010110
3222020111110222020202001212100
4231133312230103121321112
5202211424044230340202
61545325104135302530
760101554226211633
oct5537665423317126
9866443866661770
10200101122121302
11588384558a2826
121a538b30b1aa46
1387865bb3c610c
14375ad35b0118a
151820151a7e41c
hexb5fdac4d9e56

200101122121302 has 96 divisors (see below), whose sum is σ = 455925562915680. Its totient is φ = 63343188679680.

The previous prime is 200101122121279. The next prime is 200101122121333. The reversal of 200101122121302 is 203121221101002.

200101122121302 is a `hidden beast` number, since 20 + 0 + 101 + 1 + 221 + 21 + 302 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 5220733 + ... + 20675064.

It is an arithmetic number, because the mean of its divisors is an integer number (4749224613705).

Almost surely, 2200101122121302 is an apocalyptic number.

200101122121302 is an abundant number, since it is smaller than the sum of its proper divisors (255824440794378).

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

200101122121302 is a wasteful number, since it uses less digits than its factorization.

200101122121302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25896078 (or 25896075 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 200101122121302 its reverse (203121221101002), we get a palindrome (403222343222304).

The spelling of 200101122121302 in words is "two hundred trillion, one hundred one billion, one hundred twenty-two million, one hundred twenty-one thousand, three hundred two".

Divisors: 1 2 3 6 9 18 29 58 87 113 131 174 226 261 262 339 393 522 678 786 1017 1179 2034 2358 3277 3799 6554 7598 9831 11397 14803 19662 22794 29493 29606 34191 44409 58986 68382 88818 133227 266454 429287 858574 1287861 2575722 3863583 7727166 25895797 51791594 77687391 155374782 233062173 466124346 750978113 1501956226 2252934339 2926225061 3392349407 4505868678 5852450122 6758803017 6784698814 8778675183 10177048221 13517606034 17557350366 20354096442 26336025549 30531144663 52672051098 61062289326 84860526769 98378132803 169721053538 196756265606 254581580307 295134398409 383335482991 509163160614 590268796818 763744740921 766670965982 885403195227 1150006448973 1527489481842 1770806390454 2300012897946 3450019346919 6900038693838 11116729006739 22233458013478 33350187020217 66700374040434 100050561060651 200101122121302