Search a number
-
+
111221011102201 = 71113212316943067
BaseRepresentation
bin11001010010011110101000…
…110110111011100111111001
3112120210121212111100110210221
4121102132220312323213321
5104034221112320232301
61032314121021140041
732266311223610410
oct3122365066734771
9476717774313727
10111221011102201
1132490625272360
12105834636ba621
134a0a13388a400
141d671a8b4c477
15ccd1a8cdeda1
hex6527a8dbb9f9

111221011102201 has 48 divisors (see below), whose sum is σ = 150274208544768. Its totient is φ = 79934130244800.

The previous prime is 111221011102163. The next prime is 111221011102241. The reversal of 111221011102201 is 102201110122111.

It is not a de Polignac number, because 111221011102201 - 29 = 111221011101689 is a prime.

It is a super-2 number, since 2×1112210111022012 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (111221011102241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12547470 + ... + 19490536.

It is an arithmetic number, because the mean of its divisors is an integer number (3130712678016).

Almost surely, 2111221011102201 is an apocalyptic number.

111221011102201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

111221011102201 is a deficient number, since it is larger than the sum of its proper divisors (39053197442567).

111221011102201 is a wasteful number, since it uses less digits than its factorization.

111221011102201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6944342 (or 6944329 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 111221011102201 its reverse (102201110122111), we get a palindrome (213422121224312).

The spelling of 111221011102201 in words is "one hundred eleven trillion, two hundred twenty-one billion, eleven million, one hundred two thousand, two hundred one".

Divisors: 1 7 11 13 77 91 143 169 1001 1183 1231 1859 8617 13013 13541 16003 94787 112021 176033 208039 1232231 1456273 2288429 6943067 16019003 48601469 76373737 90259871 534616159 631819097 992858581 1173378323 6950010067 8213648261 8546915477 12907161553 59828408339 90350130871 94016070247 111109901201 658112491729 777769308407 1222208913211 1444428715613 8555462392477 10111001009291 15888715871743 111221011102201