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2032143204330 = 232553431988459
BaseRepresentation
bin11101100100100101001…
…011000111111111101010
321012021022112221210222100
4131210211023013333222
5231243312130014310
64153315333234230
7266550255143031
oct35444513077752
97167275853870
102032143204330
11713910951a68
12289a14792976
131198269634c5
14704db7cd718
1537cd9d54ec0
hex1d9252c7fea

2032143204330 has 96 divisors (see below), whose sum is σ = 5395758001920. Its totient is φ = 530446101120.

The previous prime is 2032143204283. The next prime is 2032143204331. The reversal of 2032143204330 is 334023412302.

2032143204330 is a `hidden beast` number, since 2 + 0 + 3 + 2 + 1 + 4 + 320 + 4 + 330 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2032143204294 and 2032143204303.

It is not an unprimeable number, because it can be changed into a prime (2032143204331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1561641 + ... + 2550099.

It is an arithmetic number, because the mean of its divisors is an integer number (56205812520).

Almost surely, 22032143204330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2032143204330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2697879000960).

2032143204330 is an abundant number, since it is smaller than the sum of its proper divisors (3363614797590).

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

2032143204330 is a wasteful number, since it uses less digits than its factorization.

2032143204330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988956 (or 988953 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 2032143204330 its reverse (334023412302), we get a palindrome (2366166616632).

The spelling of 2032143204330 in words is "two trillion, thirty-two billion, one hundred forty-three million, two hundred four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 53 90 106 159 265 318 431 477 530 795 862 954 1293 1590 2155 2385 2586 3879 4310 4770 6465 7758 12930 19395 22843 38790 45686 68529 114215 137058 205587 228430 342645 411174 685290 988459 1027935 1976918 2055870 2965377 4942295 5930754 8896131 9884590 14826885 17792262 29653770 44480655 52388327 88961310 104776654 157164981 261941635 314329962 426025829 471494943 523883270 785824905 852051658 942989886 1278077487 1571649810 2130129145 2357474715 2556154974 3834232461 4260258290 4714949430 6390387435 7668464922 12780774870 19171162305 22579368937 38342324610 45158737874 67738106811 112896844685 135476213622 203214320433 225793689370 338690534055 406428640866 677381068110 1016071602165 2032143204330