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2331023304132 = 2232738771011397
BaseRepresentation
bin100001111010111011110…
…100001110010111000100
322020211210000121000110100
4201322323310032113010
5301142413431213012
64542505103124100
7330260634110265
oct41727364162704
98224700530410
102331023304132
11819643981706
12317926ba3630
1313ba78764573
1480b71cd296c
154097e04b8dc
hex21ebbd0e5c4

2331023304132 has 72 divisors (see below), whose sum is σ = 5979842127896. Its totient is φ = 765489222144.

The previous prime is 2331023304131. The next prime is 2331023304157. The reversal of 2331023304132 is 2314033201332.

2331023304132 is a `hidden beast` number, since 2 + 3 + 3 + 10 + 233 + 0 + 413 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 680070712896 + 1650952591236 = 824664^2 + 1284894^2 .

It is a super-3 number, since 3×23310233041323 (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2331023304096 and 2331023304105.

It is not an unprimeable number, because it can be changed into a prime (2331023304131) 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, 1799058 + ... + 2810454.

Almost surely, 22331023304132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2331023304132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2989921063948).

2331023304132 is an abundant number, since it is smaller than the sum of its proper divisors (3648818823764).

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

2331023304132 is a wasteful number, since it uses less digits than its factorization.

2331023304132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012357 (or 1012352 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 2331023304132 its reverse (2314033201332), we get a palindrome (4645056505464).

The spelling of 2331023304132 in words is "two trillion, three hundred thirty-one billion, twenty-three million, three hundred four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 438 657 876 877 1314 1754 2628 2631 3508 5262 7893 10524 15786 31572 64021 128042 192063 256084 384126 576189 768252 1011397 1152378 2022794 2304756 3034191 4045588 6068382 9102573 12136764 18205146 36410292 73831981 147663962 221495943 295327924 442991886 664487829 885983772 886995169 1328975658 1773990338 2657951316 2660985507 3547980676 5321971014 7982956521 10643942028 15965913042 31931826084 64750647337 129501294674 194251942011 259002589348 388503884022 582755826033 777007768044 1165511652066 2331023304132