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11141211201 = 323206978041
BaseRepresentation
bin10100110000001000…
…10110010001000001
31001202110011011120220
422120010112101001
5140304122224301
65041310453253
7543042506211
oct123004262101
931673134526
1011141211201
1147a7a1796a
1221ab204229
13108726a083
1477994c241
15453184936
hex298116441

11141211201 has 16 divisors (see below), whose sum is σ = 15508506240. Its totient is φ = 7101015680.

The previous prime is 11141211173. The next prime is 11141211269. The reversal of 11141211201 is 10211214111.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 11141211201 - 27 = 11141211073 is a prime.

It is a super-4 number, since 4×111412112014 (a number of 41 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (11141211281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103741 + ... + 181781.

It is an arithmetic number, because the mean of its divisors is an integer number (969281640).

Almost surely, 211141211201 is an apocalyptic number.

It is an amenable number.

11141211201 is a deficient number, since it is larger than the sum of its proper divisors (4367295039).

11141211201 is a wasteful number, since it uses less digits than its factorization.

11141211201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80136.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 11141211201 its reverse (10211214111), we get a palindrome (21352425312).

The spelling of 11141211201 in words is "eleven billion, one hundred forty-one million, two hundred eleven thousand, two hundred one".

Divisors: 1 3 23 69 2069 6207 47587 78041 142761 234123 1794943 5384829 161466829 484400487 3713737067 11141211201