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1311320111130 = 2325419109731699
BaseRepresentation
bin10011000101010000110…
…001001111100000011010
311122100202011010200101100
4103011100301033200122
5132441040422024010
62442225004532230
7163511510015001
oct23052061174032
94570664120340
101311320111130
11466145020237
12192186551076
1396870441753
144767ab85c38
152419cb472c0
hex13150c4f81a

1311320111130 has 96 divisors (see below), whose sum is σ = 3420792648000. Its totient is φ = 348521792256.

The previous prime is 1311320111077. The next prime is 1311320111141. The reversal of 1311320111130 is 311110231131.

1311320111130 is a `hidden beast` number, since 1 + 311 + 320 + 1 + 1 + 1 + 1 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 41352021 + ... + 41383719.

It is an arithmetic number, because the mean of its divisors is an integer number (35633256750).

Almost surely, 21311320111130 is an apocalyptic number.

1311320111130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1311320111130 is an abundant number, since it is smaller than the sum of its proper divisors (2109472536870).

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

1311320111130 is a wasteful number, since it uses less digits than its factorization.

1311320111130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33228 (or 33225 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 1311320111130 its reverse (311110231131), we get a palindrome (1622430342261).

The spelling of 1311320111130 in words is "one trillion, three hundred eleven billion, three hundred twenty million, one hundred eleven thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 419 838 1097 1257 2095 2194 2514 3291 3771 4190 5485 6285 6582 7542 9873 10970 12570 16455 18855 19746 31699 32910 37710 49365 63398 95097 98730 158495 190194 285291 316990 459643 475485 570582 919286 950970 1378929 1426455 2298215 2757858 2852910 4136787 4596430 6894645 8273574 13281881 13789290 20683935 26563762 34773803 39845643 41367870 66409405 69547606 79691286 104321409 119536929 132818810 173869015 199228215 208642818 239073858 312964227 347738030 398456430 521607045 597684645 625928454 1043214090 1195369290 1564821135 3129642270 14570223457 29140446914 43710670371 72851117285 87421340742 131132011113 145702234570 218553351855 262264022226 437106703710 655660055565 1311320111130