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2331345521142 = 2321193971125299
BaseRepresentation
bin100001111011001111000…
…001011000100111110110
322020212121110220100002200
4201323033001120213312
5301144043423134032
64543001053245330
7330301625651421
oct41731701304766
98225543810080
102331345521142
11819799850060
123179b6a93846
1313baca440911
1480ba2a0a9b8
154099c49847c
hex21ecf0589f6

2331345521142 has 48 divisors (see below), whose sum is σ = 5510555668800. Its totient is φ = 706455183600.

The previous prime is 2331345521123. The next prime is 2331345521147. The reversal of 2331345521142 is 2411255431332.

2331345521142 is a `hidden beast` number, since 2 + 3 + 31 + 34 + 552 + 1 + 1 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2331345521097 and 2331345521106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2331345521147) 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, 18543609 + ... + 18668907.

It is an arithmetic number, because the mean of its divisors is an integer number (114803243100).

Almost surely, 22331345521142 is an apocalyptic number.

2331345521142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2331345521142 is an abundant number, since it is smaller than the sum of its proper divisors (3179210147658).

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

2331345521142 is a wasteful number, since it uses less digits than its factorization.

2331345521142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219289 (or 219286 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The spelling of 2331345521142 in words is "two trillion, three hundred thirty-one billion, three hundred forty-five million, five hundred twenty-one thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 93971 125299 187942 250598 281913 375897 563826 751794 845739 1033681 1127691 1378289 1691478 2067362 2255382 2756578 3101043 4134867 6202086 8269734 9303129 12404601 18606258 24809202 11774472329 23548944658 35323416987 70646833974 105970250961 129519195619 211940501922 259038391238 388557586857 777115173714 1165672760571 2331345521142