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1311213121141 = 711199223383729
BaseRepresentation
bin10011000101001010011…
…001000110111001110101
311122100110200211000201011
4103011022121012321311
5132440331024334031
62442210223432221
7163506040430560
oct23051231067165
94570420730634
101311213121141
1146609a695060
12192156755671
1396854221471
144766a8954d7
15241935616b1
hex1314a646e75

1311213121141 has 32 divisors (see below), whose sum is σ = 1650345984000. Its totient is φ = 1012028878080.

The previous prime is 1311213121129. The next prime is 1311213121181. The reversal of 1311213121141 is 1411213121131.

It is not a de Polignac number, because 1311213121141 - 29 = 1311213120629 is a prime.

It is a super-2 number, since 2×13112131211412 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311213121181) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3225165 + ... + 3608893.

It is an arithmetic number, because the mean of its divisors is an integer number (51573312000).

Almost surely, 21311213121141 is an apocalyptic number.

1311213121141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1311213121141 is a deficient number, since it is larger than the sum of its proper divisors (339132862859).

1311213121141 is a wasteful number, since it uses less digits than its factorization.

1311213121141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384169.

The product of its digits is 144, while the sum is 22.

Adding to 1311213121141 its reverse (1411213121131), we get a palindrome (2722426242272).

The spelling of 1311213121141 in words is "one trillion, three hundred eleven billion, two hundred thirteen million, one hundred twenty-one thousand, one hundred forty-one".

Divisors: 1 7 11 77 199 223 1393 1561 2189 2453 15323 17171 44377 310639 383729 488147 2686103 3417029 4221019 29547133 76362071 85571567 534534497 599000969 839982781 941287237 5879879467 6589010659 17028741833 119201192831 187316160163 1311213121141