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1031303131300 = 225213793310101
BaseRepresentation
bin11110000000111100111…
…01001111000010100100
310122120222021210020221101
433000132131033002210
5113344102100200200
62105435113125444
7134336436656341
oct17003635170244
93576867706841
101031303131300
11368411805842
12147a593b9884
1376336623c40
1437cb59897c8
151bc5e99d26a
hexf01e74f0a4

1031303131300 has 36 divisors (see below), whose sum is σ = 2410076089876. Its totient is φ = 380788848000.

The previous prime is 1031303131267. The next prime is 1031303131321. The reversal of 1031303131300 is 31313031301.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1277061696 + 1030026069604 = 35736^2 + 1014902^2 .

It is a super-2 number, since 2×10313031313002 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 396653751 + ... + 396656350.

Almost surely, 21031303131300 is an apocalyptic number.

1031303131300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1031303131300 is an abundant number, since it is smaller than the sum of its proper divisors (1378772958576).

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

1031303131300 is a wasteful number, since it uses less digits than its factorization.

1031303131300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793310128 (or 793310121 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 19.

Adding to 1031303131300 its reverse (31313031301), we get a palindrome (1062616162601).

Subtracting from 1031303131300 its reverse (31313031301), we obtain a palindrome (999990099999).

The spelling of 1031303131300 in words is "one trillion, thirty-one billion, three hundred three million, one hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 793310101 1586620202 3173240404 3966550505 7933101010 10313031313 15866202020 19832752525 20626062626 39665505050 41252125252 51565156565 79331010100 103130313130 206260626260 257825782825 515651565650 1031303131300