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13312031113332 = 22327250872105693
BaseRepresentation
bin1100000110110111001011…
…1000101100000001110100
31202010121200100002102211200
43001231302320230001310
53221101014431111312
644151243534132500
72542522353324150
oct301556270540164
952117610072750
1013312031113332
114272667579566
1215abb64351130
1375741c2234a3
1434043cd64060
151814231b00dc
hexc1b72e2c074

13312031113332 has 72 divisors (see below), whose sum is σ = 38458529980416. Its totient is φ = 3803284044864.

The previous prime is 13312031113321. The next prime is 13312031113361. The reversal of 13312031113332 is 23331113021331.

13312031113332 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 2 + 0 + 311 + 13 + 332 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13312031113296 and 13312031113305.

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, 5269078 + ... + 7374770.

It is an arithmetic number, because the mean of its divisors is an integer number (534146249728).

Almost surely, 213312031113332 is an apocalyptic number.

13312031113332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13312031113332 is an abundant number, since it is smaller than the sum of its proper divisors (25146498867084).

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

13312031113332 is a wasteful number, since it uses less digits than its factorization.

13312031113332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2130797 (or 2130792 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 13312031113332 its reverse (23331113021331), we get a palindrome (36643144134663).

The spelling of 13312031113332 in words is "thirteen trillion, three hundred twelve billion, thirty-one million, one hundred thirteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 25087 50174 75261 100348 150522 175609 225783 301044 351218 451566 526827 702436 903132 1053654 1580481 2105693 2107308 3160962 4211386 6317079 6321924 8422772 12634158 14739851 18951237 25268316 29479702 37902474 44219553 58959404 75804948 88439106 132658659 176878212 265317318 530634636 52825520291 105651040582 158476560873 211302081164 316953121746 369778642037 475429682619 633906243492 739557284074 950859365238 1109335926111 1479114568148 1901718730476 2218671852222 3328007778333 4437343704444 6656015556666 13312031113332