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11012230021221 = 321113311811524953
BaseRepresentation
bin1010000000111111110000…
…0011110000000001100101
31102222202111020121010110100
42200033330003300001211
52420411021341134341
635230540523214313
72214415216512012
oct240177403600145
942882436533410
1011012230021221
113566295838970
12129a2b1677399
1361b5ab1246c0
142a0dcd94c709
151416c02143b6
hexa03fc0f0065

11012230021221 has 96 divisors (see below), whose sum is σ = 19396829297664. Its totient is φ = 5929013376000.

The previous prime is 11012230021181. The next prime is 11012230021229. The reversal of 11012230021221 is 12212003221011.

11012230021221 is a `hidden beast` number, since 1 + 1 + 0 + 122 + 300 + 21 + 221 = 666.

It is not a de Polignac number, because 11012230021221 - 211 = 11012230019173 is a prime.

It is a super-3 number, since 3×110122300212213 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 11012230021194 and 11012230021203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11012230021229) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6458881 + ... + 7983833.

It is an arithmetic number, because the mean of its divisors is an integer number (202050305184).

Almost surely, 211012230021221 is an apocalyptic number.

11012230021221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11012230021221 is a deficient number, since it is larger than the sum of its proper divisors (8384599276443).

11012230021221 is a wasteful number, since it uses less digits than its factorization.

11012230021221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1525195 (or 1525192 counting only the distinct ones).

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

Adding to 11012230021221 its reverse (12212003221011), we get a palindrome (23224233242232).

The spelling of 11012230021221 in words is "eleven trillion, twelve billion, two hundred thirty million, twenty-one thousand, two hundred twenty-one".

Divisors: 1 3 9 11 13 31 33 39 93 99 117 143 181 279 341 403 429 543 1023 1209 1287 1629 1991 2353 3069 3627 4433 5611 5973 7059 13299 16833 17919 21177 25883 39897 50499 61721 72943 77649 185163 218829 232947 555489 656487 802373 1524953 2407119 4574859 7221357 13724577 16774483 19824389 47273543 50323449 59473167 141820629 150970347 178419501 218068279 276016493 425461887 520008973 614556059 654204837 828049479 1560026919 1843668177 1962614511 2484148437 3036181423 3588214409 4680080757 5531004531 6760116649 8556511283 9108544269 10764643227 20280349947 25669533849 27325632807 32293929681 39470358499 60841049841 77008601547 94121624113 111234646679 118411075497 282364872339 333703940037 355233226491 847094617017 1001111820111 1223581113469 3670743340407 11012230021221