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200221121111121 = 3211113379431109567
BaseRepresentation
bin101101100001100110011100…
…110011001110010001010001
3222020220221201012000100122200
4231201212130303032101101
5202220410324001023441
61545500151354153413
760113333013616125
oct5541463463162121
9866827635010580
10200221121111121
1158884334127990
121a558240422869
138794a03318736
143762a7ac63585
1518233268d57b6
hexb6199ccce451

200221121111121 has 96 divisors (see below), whose sum is σ = 319875168337920. Its totient is φ = 119675523340800.

The previous prime is 200221121111111. The next prime is 200221121111153. The reversal of 200221121111121 is 121111121122002.

It is a happy number.

200221121111121 is a `hidden beast` number, since 200 + 2 + 211 + 21 + 111 + 121 = 666.

It is not a de Polignac number, because 200221121111121 - 213 = 200221121102929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 200221121111094 and 200221121111103.

It is not an unprimeable number, because it can be changed into a prime (200221121111111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1827330480 + ... + 1827440046.

It is an arithmetic number, because the mean of its divisors is an integer number (3332033003520).

Almost surely, 2200221121111121 is an apocalyptic number.

It is an amenable number.

200221121111121 is a deficient number, since it is larger than the sum of its proper divisors (119654047226799).

200221121111121 is a wasteful number, since it uses less digits than its factorization.

200221121111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110507 (or 110504 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 200221121111121 its reverse (121111121122002), we get a palindrome (321332242233123).

The spelling of 200221121111121 in words is "two hundred trillion, two hundred twenty-one billion, one hundred twenty-one million, one hundred eleven thousand, one hundred twenty-one".

Divisors: 1 3 9 11 33 99 113 339 379 431 1017 1137 1243 1293 3411 3729 3879 4169 4741 11187 12507 14223 37521 42669 42827 48703 109567 128481 146109 163349 328701 385443 438327 471097 490047 535733 986103 1205237 1413291 1470141 1607199 1796839 3615711 4239873 4821597 5390517 10847133 12381071 16171551 18458437 37143213 41525893 47223377 55375311 111429639 124577679 136191781 141670131 166125933 203042807 373733037 408575343 425010393 456784823 519457147 609128421 1225726029 1370354469 1558371441 1827385263 4111063407 4675114323 4692425909 5336241601 14077277727 16008724803 17897659883 42231833181 48026174409 51616684999 53692979649 58698657611 154850054997 161078938947 176095972833 196874258713 464550164991 528287918499 590622776139 1771868328417 2022435566779 6067306700337 18201920101011 22246791234569 66740373703707 200221121111121