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1311132414124 = 2213293181134583
BaseRepresentation
bin10011000101000101100…
…101001111000010101100
311122100021001221200111101
4103011011211033002230
5132440144344222444
62442154221532444
7163504040431261
oct23050545170254
94570231850441
101311132414124
11466059080745
12192133714124
13968405a4330
144765dc87268
152418b41d3d4
hex1314594f0ac

1311132414124 has 96 divisors (see below), whose sum is σ = 2641974128640. Its totient is φ = 564710227200.

The previous prime is 1311132414077. The next prime is 1311132414143. The reversal of 1311132414124 is 4214142311131.

It is a junction number, because it is equal to n+sod(n) for n = 1311132414092 and 1311132414101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37895337 + ... + 37929919.

It is an arithmetic number, because the mean of its divisors is an integer number (27520563840).

Almost surely, 21311132414124 is an apocalyptic number.

It is an amenable number.

1311132414124 is an abundant number, since it is smaller than the sum of its proper divisors (1330841714516).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1311132414124 is a wasteful number, since it uses less digits than its factorization.

1311132414124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35471 (or 35469 counting only the distinct ones).

The product of its digits is 2304, while the sum is 28.

Adding to 1311132414124 its reverse (4214142311131), we get a palindrome (5525274725255).

The spelling of 1311132414124 in words is "one trillion, three hundred eleven billion, one hundred thirty-two million, four hundred fourteen thousand, one hundred twenty-four".

Divisors: 1 2 4 13 26 29 31 52 58 62 116 124 377 403 754 806 811 899 1508 1612 1622 1798 3244 3596 10543 11687 21086 23374 23519 25141 34583 42172 46748 47038 50282 69166 94076 100564 138332 305747 326833 449579 611494 653666 729089 899158 1002907 1072073 1222988 1307332 1458178 1798316 2005814 2144146 2916356 4011628 4288292 9478157 13037791 13936949 18956314 26075582 27873898 28046813 31090117 37912628 52151164 55747796 56093626 62180234 112187252 124360468 364608569 404171521 729217138 808343042 813357577 869451203 1458434276 1616686084 1626715154 1738902406 3253430308 3477804812 10573648501 11302865639 21147297002 22605731278 25214084887 42294594004 45211462556 50428169774 100856339548 327783103531 655566207062 1311132414124