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32003103322140 = 22351921477520929
BaseRepresentation
bin1110100011011010011011…
…00110101111000000011100
311012022110121021222201010020
413101231031212233000130
513143314323422302030
6152022004523112140
76512101506606546
oct721551546570034
9135273537881106
1032003103322140
11a219492562785
12370a4ba672650
1314b1b588c27c2
147c8d5c05a696
153a771a459510
hex1d1b4d9af01c

32003103322140 has 72 divisors (see below), whose sum is σ = 94573159687440. Its totient is φ = 8084994518016.

The previous prime is 32003103322123. The next prime is 32003103322147. The reversal of 32003103322140 is 4122330130023.

It is a super-2 number, since 2×320031033221402 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 32003103322140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32003103322147) 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 23 ways as a sum of consecutive naturals, for example, 738738805 + ... + 738782124.

It is an arithmetic number, because the mean of its divisors is an integer number (1313516106770).

Almost surely, 232003103322140 is an apocalyptic number.

32003103322140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32003103322140 is an abundant number, since it is smaller than the sum of its proper divisors (62570056365300).

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

32003103322140 is a wasteful number, since it uses less digits than its factorization.

32003103322140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1477520979 (or 1477520958 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 32003103322140 its reverse (4122330130023), we get a palindrome (36125433452163).

The spelling of 32003103322140 in words is "thirty-two trillion, three billion, one hundred three million, three hundred twenty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 361 380 570 722 1083 1140 1444 1805 2166 3610 4332 5415 7220 10830 21660 1477520929 2955041858 4432562787 5910083716 7387604645 8865125574 14775209290 17730251148 22162813935 28072897651 29550418580 44325627870 56145795302 84218692953 88651255740 112291590604 140364488255 168437385906 280728976510 336874771812 421093464765 533385055369 561457953020 842186929530 1066770110738 1600155166107 1684373859060 2133540221476 2666925276845 3200310332214 5333850553690 6400620664428 8000775830535 10667701107380 16001551661070 32003103322140