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302132001132032 = 295320535423279
BaseRepresentation
bin100010010110010011001011…
…0100110100100111000000000
31110121202112111122012201112012
41010230212112212210320000
5304100112314242211112
62550325305235352052
7120432213433210511
oct10454462646447000
91417675448181465
10302132001132032
11882a550a08a565
1229a77257a52628
13cc77c052c33b6
1454873a4462a08
1524de2301d8022
hex112c9969a4e00

302132001132032 has 80 divisors (see below), whose sum is σ = 615363680543040. Its totient is φ = 148143476662272.

The previous prime is 302132001132023. The next prime is 302132001132043. The reversal of 302132001132032 is 230231100231203.

It is a super-2 number, since 2×3021320011320322 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 302132001131989 and 302132001132007.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 52998569 + ... + 58421847.

It is an arithmetic number, because the mean of its divisors is an integer number (7692046006788).

Almost surely, 2302132001132032 is an apocalyptic number.

302132001132032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 302132001132032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307681840271520).

302132001132032 is an abundant number, since it is smaller than the sum of its proper divisors (313231679411008).

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

302132001132032 is an equidigital number, since it uses as much as digits as its factorization.

302132001132032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5425403 (or 5425387 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 302132001132032 its reverse (230231100231203), we get a palindrome (532363101363235).

The spelling of 302132001132032 in words is "three hundred two trillion, one hundred thirty-two billion, one million, one hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 256 424 512 848 1696 2053 3392 4106 6784 8212 13568 16424 27136 32848 65696 108809 131392 217618 262784 435236 525568 870472 1051136 1740944 3481888 5423279 6963776 10846558 13927552 21693116 27855104 43386232 55710208 86772464 173544928 287433787 347089856 574867574 694179712 1149735148 1388359424 2299470296 2776718848 4598940592 9197881184 11133991787 18395762368 22267983574 36791524736 44535967148 73583049472 89071934296 147166098944 178143868592 356287737184 590101564711 712575474368 1180203129422 1425150948736 2360406258844 2850301897472 4720812517688 5700603794944 9441625035376 18883250070752 37766500141504 75533000283008 151066000566016 302132001132032