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1311031011100 = 2252291473130689
BaseRepresentation
bin10011000100111111100…
…010011010011100011100
311122100000000010212200211
4103010333202122130130
5132434442414323400
62442140200302204
7163501366503526
oct23047742323434
94570000125624
101311031011100
11466006911098
12192105771964
139682558c045
144765060ca16
152418258cdba
hex1313f89a71c

1311031011100 has 72 divisors (see below), whose sum is σ = 2943334270800. Its totient is φ = 506278348800.

The previous prime is 1311031011091. The next prime is 1311031011113. The reversal of 1311031011100 is 11101301131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42704556 + ... + 42735244.

It is an arithmetic number, because the mean of its divisors is an integer number (40879642650).

Almost surely, 21311031011100 is an apocalyptic number.

1311031011100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1311031011100 is an abundant number, since it is smaller than the sum of its proper divisors (1632303259700).

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

1311031011100 is a wasteful number, since it uses less digits than its factorization.

1311031011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45463 (or 45456 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 13.

Adding to 1311031011100 its reverse (11101301131), we get a palindrome (1322132312231).

The spelling of 1311031011100 in words is "one trillion, three hundred eleven billion, thirty-one million, eleven thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 14731 29462 30689 58924 61378 73655 122756 147310 153445 294620 306890 368275 427199 613780 736550 767225 854398 889981 1473100 1534450 1708796 1779962 2135995 3068900 3559924 4271990 4449905 8543980 8899810 10679975 17799620 21359950 22249525 42719900 44499050 88998100 452079659 904159318 1808318636 2260398295 4520796590 9041593180 11301991475 13110310111 22603982950 26220620222 45207965900 52441240444 65551550555 131103101110 262206202220 327757752775 655515505550 1311031011100