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2432000130021 = 3271129127952859
BaseRepresentation
bin100011011000111110100…
…000001111101111100101
322121111102021022020220200
4203120332200033233211
5304321214013130041
65101125003021113
7340464142010550
oct43307640175745
98544367266820
102432000130021
11858450742530
12333407b0a799
1314844b759097
14859d098b697
15433ddddb1b6
hex2363e80fbe5

2432000130021 has 96 divisors (see below), whose sum is σ = 4566410035200. Its totient is φ = 1210205888640.

The previous prime is 2432000130013. The next prime is 2432000130023. The reversal of 2432000130021 is 1200310002342.

2432000130021 is a `hidden beast` number, since 24 + 320 + 0 + 0 + 1 + 300 + 21 = 666.

It is not a de Polignac number, because 2432000130021 - 23 = 2432000130013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2432000129976 and 2432000130003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2432000130023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2075890 + ... + 3028748.

It is an arithmetic number, because the mean of its divisors is an integer number (47566771200).

Almost surely, 22432000130021 is an apocalyptic number.

2432000130021 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2432000130021 is a deficient number, since it is larger than the sum of its proper divisors (2134409905179).

2432000130021 is a wasteful number, since it uses less digits than its factorization.

2432000130021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953039 (or 953036 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2432000130021 its reverse (1200310002342), we get a palindrome (3632310132363).

The spelling of 2432000130021 in words is "two trillion, four hundred thirty-two billion, one hundred thirty thousand, twenty-one".

Divisors: 1 3 7 9 11 21 29 33 63 77 87 99 127 203 231 261 319 381 609 693 889 957 1143 1397 1827 2233 2667 2871 3683 4191 6699 8001 9779 11049 12573 20097 25781 29337 33147 40513 77343 88011 121539 232029 283591 364617 850773 952859 2552319 2858577 6670013 8575731 10481449 20010039 27632911 31444347 60030117 73370143 82898733 94333041 121013093 193430377 220110429 248696199 303962021 363039279 580291131 660331287 847091651 911886063 1089117837 1331144023 1740873393 2127734147 2541274953 2735658189 3509379697 3993432069 6383202441 7623824859 9318008161 10528139091 11980296207 19149607323 24565657879 27954024483 31584417273 38603176667 73696973637 83862073449 115809530001 221090920911 270222236669 347428590003 810666710007 2432000130021