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1221122210011 = 1127397101103137
BaseRepresentation
bin10001110001010000100…
…011100011100011011011
311022201221002212112221221
4101301100203203203123
5130001324241210021
62332550434512511
7154136355345154
oct21612043434333
94281832775857
101221122210011
11430969720100
121787b3435737
138b1c761b622
144316189092b
1521b6e228241
hex11c508e38db

1221122210011 has 96 divisors (see below), whose sum is σ = 1411958830464. Its totient is φ = 1054715904000.

The previous prime is 1221122209997. The next prime is 1221122210059. The reversal of 1221122210011 is 1100122211221.

It is not a de Polignac number, because 1221122210011 - 27 = 1221122209883 is a prime.

It is a super-2 number, since 2×12211222100112 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1221122210081) 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 95 ways as a sum of consecutive naturals, for example, 8913300735 + ... + 8913300871.

It is an arithmetic number, because the mean of its divisors is an integer number (14707904484).

Almost surely, 21221122210011 is an apocalyptic number.

1221122210011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1221122210011 is a deficient number, since it is larger than the sum of its proper divisors (190836620453).

1221122210011 is a wasteful number, since it uses less digits than its factorization.

1221122210011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 1221122210011 its reverse (1100122211221), we get a palindrome (2321244421232).

It can be divided in two parts, 12211 and 22210011, that added together give a palindrome (22222222).

The spelling of 1221122210011 in words is "one trillion, two hundred twenty-one billion, one hundred twenty-two million, two hundred ten thousand, eleven".

Divisors: 1 11 73 97 101 103 121 137 803 1067 1111 1133 1507 7081 7373 7519 8833 9797 9991 10001 10403 11737 12221 12463 13289 13837 14111 16577 77891 81103 82709 107767 109901 110011 114433 146179 152207 155221 715181 729343 759419 856801 892133 909799 970097 1009091 1010101 1030103 1185437 1208911 1210121 1258763 1342189 1368767 1425211 1607969 1674277 1707431 7866991 8022773 8353609 10671067 11100001 11111111 11331133 14764079 15056437 15677321 73663643 86536901 88250503 91889699 97979797 99919991 104040403 117381737 122100011 122222221 124642463 138245467 162404869 165620807 172450531 810300073 1077777767 1099119901 1144444433 1520700137 8913300803 10091919091 11855555437 12090318911 12588888763 16727701507 111011110001 1221122210011