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32001101113331 = 7193147261763103
BaseRepresentation
bin1110100011010110101100…
…10000111010011111110011
311012022021102202110221222102
413101223112100322133303
513143301223341111311
6152021034120531015
76512001055245230
oct721532620723763
9135267382427872
1032001101113331
11a218655347659
12370a040020a6b
1314b18c9b53c6c
147c8c0c188787
153a764e7ac43b
hex1d1ad643a7f3

32001101113331 has 64 divisors (see below), whose sum is σ = 40601093406720. Its totient is φ = 24602752961280.

The previous prime is 32001101113321. The next prime is 32001101113351. The reversal of 32001101113331 is 13331110110023.

It is a cyclic number.

It is not a de Polignac number, because 32001101113331 - 210 = 32001101112307 is a prime.

It is a super-2 number, since 2×320011011133312 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (32001101113321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 507093326 + ... + 507156428.

It is an arithmetic number, because the mean of its divisors is an integer number (634392084480).

Almost surely, 232001101113331 is an apocalyptic number.

32001101113331 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

32001101113331 is a deficient number, since it is larger than the sum of its proper divisors (8599992293389).

32001101113331 is a wasteful number, since it uses less digits than its factorization.

32001101113331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65824.

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 32001101113331 its reverse (13331110110023), we get a palindrome (45332211223354).

The spelling of 32001101113331 in words is "thirty-two trillion, one billion, one hundred one million, one hundred thirteen thousand, three hundred thirty-one".

Divisors: 1 7 19 31 47 133 217 329 589 893 1457 2617 4123 6251 10199 18319 27683 49723 63103 81127 122999 193781 348061 441721 567889 860993 1198957 1541413 1956193 2336981 2965841 3812969 8392699 10789891 13693351 16358867 20760887 26690783 37167667 56350979 72446411 91941071 165140551 260173669 394456853 507124877 643587497 1155983857 1746880349 3137670469 5119357081 7761605897 12228162443 21963693283 35835499567 54331241279 97267784539 147470512043 240609782807 680874491773 1032293584301 1684268479649 4571585873333 32001101113331