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12102200223331 = 4716330733715269
BaseRepresentation
bin1011000000011100001101…
…0110000110011001100011
31120211221220010211101001011
42300013003112012121203
53041240301224121311
641423401331321351
72356232542410211
oct260070326063143
946757803741034
1012102200223331
113946572582299
1214355a2450257
1369a303cab50a
142dba6cd37cb1
1515ec153bd321
hexb01c3586663

12102200223331 has 32 divisors (see below), whose sum is σ = 12513867125760. Its totient is φ = 11698110014976.

The previous prime is 12102200223313. The next prime is 12102200223391. The reversal of 12102200223331 is 13332200220121.

It is a cyclic number.

It is not a de Polignac number, because 12102200223331 - 213 = 12102200215139 is a prime.

It is a super-2 number, since 2×121022002233312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12102200223391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 792591765 + ... + 792607033.

It is an arithmetic number, because the mean of its divisors is an integer number (391058347680).

Almost surely, 212102200223331 is an apocalyptic number.

12102200223331 is a deficient number, since it is larger than the sum of its proper divisors (411666902429).

12102200223331 is a wasteful number, since it uses less digits than its factorization.

12102200223331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16123.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 12102200223331 its reverse (13332200220121), we get a palindrome (25434400443452).

The spelling of 12102200223331 in words is "twelve trillion, one hundred two billion, two hundred million, two hundred twenty-three thousand, three hundred thirty-one".

Divisors: 1 47 163 307 337 7661 14429 15269 15839 50041 54931 103459 717643 2351927 2488847 2581757 4687583 4862573 5145653 16863817 116975809 220316401 241845691 764076029 792599399 838741439 1579715471 35911573363 39420847633 74246627137 257493621773 12102200223331