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2331131313330 = 23452877939893
BaseRepresentation
bin100001111011000010010…
…000001111110010110010
322020212001112211110020000
4201323002100033302302
5301143124104011310
64542523522130430
7330263415141021
oct41730220176262
98225045743200
102331131313330
11819699943606
123179571b0a16
1313ba94c50731
1480b823aa8b8
15409887844c0
hex21ec240fcb2

2331131313330 has 40 divisors (see below), whose sum is σ = 6268153089132. Its totient is φ = 621635016672.

The previous prime is 2331131313317. The next prime is 2331131313361. The reversal of 2331131313330 is 333131311332.

2331131313330 is a `hidden beast` number, since 2 + 3 + 3 + 1 + 1 + 313 + 13 + 330 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2151798543801 + 179332769529 = 1466901^2 + 423477^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2331131313294 and 2331131313303.

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 19 ways as a sum of consecutive naturals, for example, 1438969137 + ... + 1438970756.

Almost surely, 22331131313330 is an apocalyptic number.

2331131313330 is an abundant number, since it is smaller than the sum of its proper divisors (3937021775802).

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

2331131313330 is a wasteful number, since it uses less digits than its factorization.

2331131313330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2877939912 (or 2877939903 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 2331131313330 its reverse (333131311332), we get a palindrome (2664262624662).

The spelling of 2331131313330 in words is "two trillion, three hundred thirty-one billion, one hundred thirty-one million, three hundred thirteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 2877939893 5755879786 8633819679 14389699465 17267639358 25901459037 28779398930 43169098395 51802918074 77704377111 86338196790 129507295185 155408754222 233113131333 259014590370 388521885555 466226262666 777043771110 1165565656665 2331131313330