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12221101101 = 31197101103367
BaseRepresentation
bin10110110000110111…
…10011010000101101
31011112201011021001010
423120123303100231
5200012100213401
65340404335433
7611564434236
oct133033632055
934481137033
1012221101101
115201547160
1224509a4579
1311c9bc9491
1483d13408d
154b7d96ed6
hex2d86f342d

12221101101 has 64 divisors (see below), whose sum is σ = 18363211776. Its totient is φ = 7167744000.

The previous prime is 12221101043. The next prime is 12221101133. The reversal of 12221101101 is 10110112221.

It is not a de Polignac number, because 12221101101 - 29 = 12221100589 is a prime.

12221101101 is a modest number, since divided by 101101 gives 12221 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12221101141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33299820 + ... + 33300186.

It is an arithmetic number, because the mean of its divisors is an integer number (286925184).

Almost surely, 212221101101 is an apocalyptic number.

12221101101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12221101101 is a deficient number, since it is larger than the sum of its proper divisors (6142110675).

12221101101 is a wasteful number, since it uses less digits than its factorization.

12221101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682.

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

Adding to 12221101101 its reverse (10110112221), we get a palindrome (22331213322).

It can be divided in two parts, 12221 and 101101, that multiplied together give a palindrome (1235555321).

The spelling of 12221101101 in words is "twelve billion, two hundred twenty-one million, one hundred one thousand, one hundred one".

Divisors: 1 3 11 33 97 101 103 291 303 309 367 1067 1101 1111 1133 3201 3333 3399 4037 9797 9991 10403 12111 29391 29973 31209 35599 37067 37801 106797 107767 109901 111201 113403 114433 323301 329703 343299 391589 407737 415811 1009091 1174767 1223211 1247433 3027273 3595499 3666697 3817901 10786497 11000091 11100001 11453703 33300003 39550489 40333667 41996911 118651467 121001001 125990733 370336397 1111009191 4073700367 12221101101