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123020000032 = 2561295721313
BaseRepresentation
bin111001010010010010…
…0000011101100100000
3102202112110211111201111
41302210210003230200
54003421110000112
6132303053313104
711613356514136
oct1624444035440
9382473744644
10123020000032
1148199645916
121ba13195794
13b7a6a82037
145d50477756
15330019a5a7
hex1ca4903b20

123020000032 has 48 divisors (see below), whose sum is σ = 246260847672. Its totient is φ = 60478341120.

The previous prime is 123019999987. The next prime is 123020000041. The reversal of 123020000032 is 230000020321.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 37309240336 + 85710759696 = 193156^2 + 292764^2 .

It is a super-3 number, since 3×1230200000323 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 123019999967 and 123020000021.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5761408 + ... + 5782720.

Almost surely, 2123020000032 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 123020000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123130423836).

123020000032 is an abundant number, since it is smaller than the sum of its proper divisors (123240847640).

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

123020000032 is a wasteful number, since it uses less digits than its factorization.

123020000032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24341 (or 24333 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 123020000032 its reverse (230000020321), we get a palindrome (353020020353).

The spelling of 123020000032 in words is "one hundred twenty-three billion, twenty million, thirty-two", and thus it is an aban number.

Divisors: 1 2 4 8 16 32 61 122 244 488 976 1952 2957 5914 11828 21313 23656 42626 47312 85252 94624 170504 180377 341008 360754 682016 721508 1300093 1443016 2600186 2886032 5200372 5772064 10400744 20801488 41602976 63022541 126045082 252090164 504180328 1008360656 2016721312 3844375001 7688750002 15377500004 30755000008 61510000016 123020000032