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10311333130 = 257241513257
BaseRepresentation
bin10011001101001101…
…00111010100001010
3222121121120222220001
421212212213110022
5132104200130010
64423103353214
7513344612500
oct114646472412
928547528801
1010311333130
11441152a21a
121bb92b280a
13c84355867
146db646670
154053a9c3a
hex2669a750a

10311333130 has 48 divisors (see below), whose sum is σ = 22117313736. Its totient is φ = 3449080320.

The previous prime is 10311333103. The next prime is 10311333133. The reversal of 10311333130 is 3133311301.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5644667161 + 4666665969 = 75131^2 + 68313^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10311333098 and 10311333107.

It is not an unprimeable number, because it can be changed into a prime (10311333133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 236539 + ... + 276718.

Almost surely, 210311333130 is an apocalyptic number.

10311333130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10311333130 is an abundant number, since it is smaller than the sum of its proper divisors (11805980606).

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

10311333130 is a wasteful number, since it uses less digits than its factorization.

10311333130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513319 (or 513312 counting only the distinct ones).

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

Adding to 10311333130 its reverse (3133311301), we get a palindrome (13444644431).

It can be divided in two parts, 1031 and 1333130, that added together give a triangular number (1334161 = T1633).

The spelling of 10311333130 in words is "ten billion, three hundred eleven million, three hundred thirty-three thousand, one hundred thirty".

Divisors: 1 2 5 7 10 14 35 41 49 70 82 98 205 245 287 410 490 574 1435 2009 2870 4018 10045 20090 513257 1026514 2566285 3592799 5132570 7185598 17963995 21043537 25149593 35927990 42087074 50299186 105217685 125747965 147304759 210435370 251495930 294609518 736523795 1031133313 1473047590 2062266626 5155666565 10311333130