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1331302110318 = 2321918121506609
BaseRepresentation
bin10011010111110111110…
…010100001010001101110
311201021022201210102011100
4103113313302201101232
5133303001320012233
62455331452303530
7165116623140255
oct23276762412156
94637281712140
101331302110318
11473669374a54
12196022471ba6
1398706185bcb
144861490379c
152496c009813
hex135f7ca146e

1331302110318 has 48 divisors (see below), whose sum is σ = 3053078355600. Its totient is φ = 418088459520.

The previous prime is 1331302110293. The next prime is 1331302110319. The reversal of 1331302110318 is 8130112031331.

It is a happy number.

1331302110318 is a `hidden beast` number, since 1 + 3 + 3 + 130 + 211 + 0 + 318 = 666.

It is a super-2 number, since 2×13313021103182 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1331302110291 and 1331302110300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331302110319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10691403 + ... + 10815206.

It is an arithmetic number, because the mean of its divisors is an integer number (63605799075).

Almost surely, 21331302110318 is an apocalyptic number.

1331302110318 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

1331302110318 is an abundant number, since it is smaller than the sum of its proper divisors (1721776245282).

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

1331302110318 is a wasteful number, since it uses less digits than its factorization.

1331302110318 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21506817 (or 21506814 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 1331302110318 its reverse (8130112031331), we get a palindrome (9461414141649).

The spelling of 1331302110318 in words is "one trillion, three hundred thirty-one billion, three hundred two million, one hundred ten thousand, three hundred eighteen".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 181 342 362 543 1086 1629 3258 3439 6878 10317 20634 30951 61902 21506609 43013218 64519827 129039654 193559481 387118962 408625571 817251142 1225876713 2451753426 3677630139 3892696229 7355260278 7785392458 11678088687 23356177374 35034266061 70068532122 73961228351 147922456702 221883685053 443767370106 665651055159 1331302110318