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10111210221 = 373194631117
BaseRepresentation
bin10010110101010110…
…01101001011101101
3222002200000200212110
421122223031023231
5131201432211341
64351154154233
7505364604000
oct113253151355
928080020773
1010111210221
114319572992
121b62282979
13c51a57638
146bcc31537
153e2a29216
hex25aacd2ed

10111210221 has 64 divisors (see below), whose sum is σ = 16600064000. Its totient is φ = 5457025728.

The previous prime is 10111210199. The next prime is 10111210231. The reversal of 10111210221 is 12201211101.

It is not a de Polignac number, because 10111210221 - 214 = 10111193837 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10111210197 and 10111210206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111210231) 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 63 ways as a sum of consecutive naturals, for example, 9051555 + ... + 9052671.

It is an arithmetic number, because the mean of its divisors is an integer number (259376000).

Almost surely, 210111210221 is an apocalyptic number.

It is an amenable number.

10111210221 is a deficient number, since it is larger than the sum of its proper divisors (6488853779).

10111210221 is a wasteful number, since it uses less digits than its factorization.

10111210221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1623 (or 1609 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10111210221 its reverse (12201211101), we get a palindrome (22312421322).

The spelling of 10111210221 in words is "ten billion, one hundred eleven million, two hundred ten thousand, two hundred twenty-one".

Divisors: 1 3 7 19 21 49 57 133 147 343 399 463 931 1029 1117 1389 2793 3241 3351 6517 7819 8797 9723 19551 21223 22687 23457 26391 54733 61579 63669 68061 148561 158809 164199 184737 383131 431053 445683 476427 517171 1039927 1149393 1293159 1551513 3017371 3119781 3620197 7279489 9052113 9826249 10860591 21838467 25341379 29478747 68783743 76024137 177389653 206351229 481486201 532168959 1444458603 3370403407 10111210221