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1311130202123 = 72791588921317
BaseRepresentation
bin10011000101000101011…
…100110011000000001011
311122100020220210022012102
4103011011130303000023
5132440143312431443
62442154102304015
7163504012556300
oct23050534630013
94570226708172
101311130202123
114660578aa845
12192132a2800b
139683ccab561
144765d86d0a7
152418b132cb8
hex1314573300b

1311130202123 has 24 divisors (see below), whose sum is σ = 1544668171200. Its totient is φ = 1109478359808.

The previous prime is 1311130202111. The next prime is 1311130202131. The reversal of 1311130202123 is 3212020311131.

It is a happy number.

It is not a de Polignac number, because 1311130202123 - 28 = 1311130201867 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1311130202095 and 1311130202104.

It is not an unprimeable number, because it can be changed into a prime (1311130202183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61495661 + ... + 61516977.

It is an arithmetic number, because the mean of its divisors is an integer number (64361173800).

Almost surely, 21311130202123 is an apocalyptic number.

1311130202123 is a deficient number, since it is larger than the sum of its proper divisors (233537969077).

1311130202123 is a wasteful number, since it uses less digits than its factorization.

1311130202123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37299 (or 37292 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 1311130202123 its reverse (3212020311131), we get a palindrome (4523150513254).

The spelling of 1311130202123 in words is "one trillion, three hundred eleven billion, one hundred thirty million, two hundred two thousand, one hundred twenty-three".

Divisors: 1 7 49 79 553 3871 15889 21317 111223 149219 778561 1044533 1255231 1684043 8786617 11788301 61506319 82518107 338705813 2370940691 16596584837 26757759227 187304314589 1311130202123