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11010120121 = 721113972167
BaseRepresentation
bin10100100000100000…
…10001100110111001
31001102022111001102201
422100100101212321
5140022042320441
65020305030201
7536561322400
oct122020214671
931368431381
1011010120121
11473aa20230
122173325361
13106605baa0
14766386637
154468dcc31
hex2904119b9

11010120121 has 72 divisors (see below), whose sum is σ = 15294557376. Its totient is φ = 7790791680.

The previous prime is 11010120119. The next prime is 11010120127. The reversal of 11010120121 is 12102101011.

It is not a de Polignac number, because 11010120121 - 21 = 11010120119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11010120098 and 11010120107.

It is not an unprimeable number, because it can be changed into a prime (11010120127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 65928780 + ... + 65928946.

It is an arithmetic number, because the mean of its divisors is an integer number (212424408).

Almost surely, 211010120121 is an apocalyptic number.

11010120121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11010120121 is a deficient number, since it is larger than the sum of its proper divisors (4284437255).

11010120121 is a wasteful number, since it uses less digits than its factorization.

11010120121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 11010120121 its reverse (12102101011), we get a palindrome (23112221132).

It can be divided in two parts, 11010 and 120121, that added together give a palindrome (131131).

The spelling of 11010120121 in words is "eleven billion, ten million, one hundred twenty thousand, one hundred twenty-one".

Divisors: 1 7 11 13 49 77 91 97 143 167 539 637 679 1001 1067 1169 1261 1837 2171 4753 7007 7469 8183 8827 9409 12859 13871 15197 16199 23881 52283 61789 65863 90013 97097 103499 106379 113393 122317 167167 178189 210587 461041 679679 724493 793751 856219 1170169 1247323 1345487 1474109 1571303 2316457 5071451 5993533 8731261 9418409 10318763 10999121 16215199 17284333 20426939 65928863 76993847 113506393 120990331 142988573 224696329 846932317 1000920011 1572874303 11010120121